PHY2054 Exam 1 Formula Sheet
|
|
- Robert Phillips
- 5 years ago
- Views:
Transcription
1 Instucto: Pofs. Fiel, Kotov PHYSICS DPARTMNT PHY 54 Final xam Decembe, 5 Name (PRINT, last, fist): Signatue: On m hono, I have neithe given noeceive unauthoize ai on this examination. YOUR TST NUMR IS TH 5-DIGIT NUMR AT TH TOP OF ACH PAG. DIRCTIONS () Coe ou test numbe on ou answe sheet (use 76 8 fo the 5-igit numbe). Coe ou name on ou answe sheet. DARKN CIRCS COMPTY. Coe ou stuent numbe on ou answe sheet. () Pint ou name on this sheet an sign it also. (3) Do all scatch wok anwhee on this exam that ou like. At the en of the test, this exam pintout is to be tune in. No ceit will be given without both answe sheet an pintout with scatch wok most uestions eman. (4) lacken the cicle of ou intene answe completel, using a # pencil o blue o black ink. Do not make an sta maks o the answe sheet ma not ea popel. (5) The answes ae oune off. Choose the closest to exact. Thee is no penalt fo guessing. >>>>>>>>WHN YOU FINISH <<<<<<<< Han in the answe sheet sepaatel. Constants ǫ = 8.85 F/m m e = 9. 3 kg m p = m n =.67 7 kg e =.6 9 C k = N m /C µ =.56 7 H/m N A = 6. 3 atoms/mole c = 3 8 m/s milli = 3 mico = 6 nano = 9 pico =
2 PHY54 xam Fomula Sheet ectos a = a xˆ x + a ˆ + azzˆ b = bxxˆ + b ˆ + bz zˆ Magnitues: a = ax + a + az b = bx + b + bz Scala Pouct: a b = a b + a b + a b = a b cosθ (θ = angle between a an b ) lectostatic Foce (vecto): lectic Fiel (at ue to ): x x z z lectostatic Foce an lectic Fiel F = k ˆ ( = istance between chage an chage, units = N) k = /(4πε ) = 8.99x 9 N m /C ε = 8.85x - C /(N m ) = F / = k ˆ (units = N/C = /m) Φ = A lectic Flux (though the infinitesimal suface aea A): (units = Nm /C) ecto Aea (iecte aea): A= Anˆ (whee nˆ = nomal to the suface) Gauss aw (net flux though close suface S): Φ = S A= enclose ε ( enclose = chage enclose) Gauss aw: Net flux though close suface S = the chage enclose b suface S ivie b ε lectic Potential an Potential neg lectic Potential neg: wok one against a constant fiel in moving chage a istance along staight line path fom A to, U = U U A = (units = J) lectic Potential: Wok one pe unit chage against a constant fiel in moving chage a istance along staight line path fom A to, lectic Potential (istance fom a point chage ): lectic Potential neg (N point chages): = U / = (units = J/C = ) U = N i ( ) = k N point chages: ( ) = k Stoe lectic Potential neg (N conuctos with chage i an electic potential i ): N i= i i Capacitance (efinition): C = / o C = / (units = C/ = F) neg Densit of the lectic Fiel: u= ε (units = J/m 3 ) Cuent (though iecte aea A): lectic Cuent an Cicuits I = J A= nvift A t, i= N U = i= = (units = C/s = A, n is the numbe of chage paticles pe unit volume, v ift is the aveage velocit of the chage paticles). Conucting Wie (length, coss sectional aea A): Ohm s aw: = IR, R ρ / A = (Resistance R units = /A = Ω) J = σ, I = σ A= A/ ρ, = Resistivit (at tempeatue T in o C): ρ ( T ) = ρ(+ α T ), whee T = T T Powe (supplie b MF ε): P = εi Powe (issipate in esisto R): P = I R (units = J/s = W) t /τ RC Cicuits (chaging capacito C though esisto R with MF ε): ( t) = εc( e ) RC Cicuits (ischaging capacito C with initial chage though esisto R): RC Cicuits (time constant):τ = RC (units = Ω F = s) whee i is the electic potential at i ue to the othe chages ( t) = e t /τ i i i
3 PHY54 xam Fomula Sheet ectos a = a xˆ x + a ˆ + azzˆ b = bxxˆ + b ˆ + bz zˆ Coss Pouct Magbitue: a b = a b sinθ Coss Pouct ecto: c = a b = ( a b a b ) xˆ ( a b a b ) ˆ + ( a b a b ) zˆ F z z x z z x lectomagnetic Foce = F + F = + v F = F = v lectmagnetic Foce (vecto): M ( = istance between chage an chage, v = velocit of chage, = velocit of chage ) F = k ˆ (units = N) F = k v c x ˆ x (units = N) k = /(4πε ) 8.99x 9 N m /C ε 8.85x - C /(N m ) k = k/c =µ /(4π) -7 Tm/A µ 4π -7 Tm/A c 3 8 m/s (spee of light) lectic Fiel (ue to ): Magnetic Fiel (ue to ): Magnetic Fiel (ue to cuent I): neg Densit (lectic & Magnetic Fiel): = k ˆ (units = N/C = /m) = k ˆ (units = N/(C m/s) = T) I = k l ˆ (units = N/(C m/s) = T) u = ε u = (units = J/m 3 ) µ F = I (units = N) µ = NIA (units = A m ) A= Anˆ τ =µ (units = N m) Magnetic Foce (on a long staight wie caing cuent I): Magnetic Dipole Moment (N loops, cuent I, aea A): Magnetic Toue on a Magnetic Dipole: Ampee s aw: l = l= µ C C Infinite Staight Wie Caing Cuent I: I enclose Cente of a Cicula oop Caing Cuent I: (aoun a close loop) Magnetic Fiel (xamples) = ki / pep = π k I / R = µ ni Infinite Solenoi (cuent I, n loops pe unit length): (units = T) (units = T) (units = T) lectomagnetic Inuction, R Cicuits, an C Cicuits Φ = A= Acosθ A Magnetic Flux (unifom, suface A): = Φ Faaa s aw of Inuction: ε = (ε = inuce MF, units = ) t I Inucto (inuctance units = H): = (potential iffeence) U = I t R Cicuits (time constant):τ = /R (units = H/Ω = s) t R Cicuits (MF ε, Resisto R, Inucto, swich close at t = ): I( t) = ε ( e Oscillating C Cicuit (no esistance): U / C I tot + pep units = Tm = Wb /τ ab (stoe eneg) ) / R = (stoe eneg) ω= / C Oscillating C Cicuit (no esistance): ( t) = sin( ω t+ ϕ) I( t) = I cos( ω t+ ϕ) Oscillating C Cicuit (no esistance): f = ω/π (feuenc of oscillations in Hz)
4 Rick s ectues: Close Cuve PHY54 Final xam Fomula Sheet Ampee s aw (complete) Φ l = µ Ienclose + µ ε Textbook: l= µ Ienclose + µ ε t ( x, t) = ( x, t) = max max Close Cuve lectomagnetic Plane Wave sin( kx ωt) ˆ sin( kx ωt) zˆ ( x, t) = c( x, t) ω c Spee in acuum: c= = fλ = Spee in Meium (n = inex of efaction): v n = < c k µ ε n λ Wavelength in Meium: λ n = n Ponting ecto: S =, µ Intensit: (λ = Wavelength in acuum, n = inex of efaction) P S = S = = = µ µ c A powe P powe ms cms c I = S = = = = = (units = W/m ) A µ c µ µ c µ (units = W/m ) Intensit Tansmitte b a Poloize: I = I (anom) I = I cos θ (polaize) Relativistic Dopple Shift (f = feuenc at est with souce, λ = wavelength at est with souce, fλ = c) + β β λ awa = λ f awa = f β = / c β + β Souce Moving Awa fom Obseve: Souce Moving Towa the Obseve: Snell s aw: λ towa = β + β = λ f towa = f β / c + β β Φ t ( = elative velocit) ( = elative velocit) Reflection & Refaction n sinθ = n sinθ Total Intenal Reflection in Meium (): sin = n / n c tanθ = n n ewste s Angle in Meium (): Mios & Thin ens Spheical Mios (R = aius of cuvatue): f = R / Object an Image Position (mios & thin lens): = + f p Magnification (mios & thin lens): m=, h = m h p Reflection in Meium : (phase shift n > n ) Maximal Constuctive: (phase shift) Maximal Destuctive: (phase shift) ) / θ (n < n ) Reflection & Intefeence φ = π (phase shift n < n ) φ = φ = πm (lateal shift) l= mλ m=, ±, ±, φ = π ( m+ (lateal shift) l= ( m+ ) λ m=, ±, ±, Wavelength (in m): λ Wavenumbe (in m - ): k = π/λ Angula Feuence (in a/s): ω = πf Feuenc (in Hz): f Peio (in s): T = /f f = focal length (> concave, < convex) p = objct istance = image istance (> eal, < vitual) h = object height h' = image height m = magnification (> upight, < invete) Intensit: (max constuctive) I = I+ I+ II (max estuctive) I = I+ I II Single-Slit Minima: sinθ = mλ Resolving Powe (lens iamete D: θ.λ / D Double-Slit (an gating): (max constuctive) sin θ = mλ (max estuctive) sinθ = ( m+ ) λ
5 . Consie a cube of sies = m as shown in the figue an suppose that a non-unifom electic fiel is pesent an is given b (x) = (a bx)ˆx, whee a = an b = /m ae constants. What is the net electic chage (in nc) containe within the cube? O -axis z-axis () 7.8 () 3.9 (3) (4) +7.8 (5) Consie a cube of sies = 3 m as shown in the figue an suppose that a non-unifom electic fiel is pesent an is given b (x) = (a bx)ˆx, whee a = an b = /m ae constants. What is the net electic chage (in nanoc) containe within the cube? O -axis z-axis () 3.9 () 7.8 (3) (4) +7.8 (5) Consie a cube of sies = 4 m as shown in the figue an suppose that a non-unifom electic fiel is pesent an is given b (x) = (a bx)ˆx, whee a = an b = /m ae constants. What is the net electic chage (in nanoc) containe within the cube? O -axis z-axis () () 7.8 (3) 3.9 (4) +7.8 (5) A soli insulating ball with aius R has a unifom chage ensit ρ an total chage +. Thee is a point chage = + embee at the cente of the insulato (not pat of the insulato). The insulating ball is suoune b a spheical conucting shell with inneaius R an outeaius 3R/ as shown in the figue. The net chage on the conucto is +. How much chage is locate on the oute suface ( = 3R/) of the conucto? Point chage at oigin () +4 () +5 (3) +6 (4) zeo (5) Insulato net chage = + 3R/ R Net chage + on conucto 5. A soli insulating ball with aius R has a unifom chage ensit ρ an total chage +. Thee is a point chage = +3 embee at the cente of the insulato (not pat of the insulato). The insulating ball is suoune b a spheical conucting shell with inneaius R an outeaius 3R/ as shown in the figue. The net chage on the conucto is +. How much chage is locate on the oute suface ( = 3R/) of the conucto? Point chage at oigin () +5 () +4 (3) +6 (4) zeo (5) Insulato net chage = + 3R/ R Net chage + on conucto
6 6. A soli insulating ball with aius R has a unifom chage ensit ρ an total chage +. Thee is a point chage = +4 embee at the cente of the insulato (not pat of the insulato). The insulating ball is suoune b a spheical conucting shell with inneaius R an outeaius 3R/ as shown in the figue. The net chage on the conucto is +. How much chage is locate on the oute suface ( = 3R/) of the conucto? Point chage at oigin () +6 () +4 (3) +5 (4) zeo (5) Insulato net chage = + 3R/ R Net chage + on conucto 7. A chage paticle taveling to the ight along the negative as shown in the figue has an initial kinetic eneg of 8µJ. At x = it expeiences a non-unifom electic potential given b (x) = bx 3, whee b = 5 /m 3 is a constant an x is measue in metes. If = µc, what is the lagest positive x-value (in metes) eache b the paticle befoe it comes to est? () () 3 (3) 4 (4) (5) 5 -axis 8. A chage paticle taveling to the ight along the negative as shown in the figue has an initial kinetic eneg of 7µJ. At x = it expeiences a non-unifom electic potential given b (x) = bx 3, whee b = 5 /m 3 is a constant an x is measue in metes. If = µc, what is the lagest positive x-value (in metes) eache b the paticle befoe it comes to est? () 3 () (3) 4 (4) (5) 5 -axis 9. A chage paticle taveling to the ight along the negative as shown in the figue has an initial kinetic eneg of 64µJ. At x = it expeiences a non-unifom electic potential given b (x) = bx 3, whee b = 5 /m 3 is a constant an x is measue in metes. If = µc, what is the lagest positive x-value (in metes) eache b the paticle befoe it comes to est? () 4 () (3) 3 (4) (5) 5 -axis. Thee point chages =, =, an 3 = ae fixe at the vetices of an euilateal tiangle with sies of length as shown in the figue. If =, how much wok is euie to move chage to the mi-point of the staight line between an 3? Note k = /(4πǫ ). () 4k / () 6k / (3) 8k / (4) k / (5) k /. Thee point chages =, =, an 3 = ae fixe at the vetices of an euilateal tiangle with sies of length as shown in the figue. If = 3, how much wok is euie to move chage to the mi-point of the staight line between an 3? Note k = /(4πǫ ). () 6k / () 4k / (3) 8k / (4) k / (5) k /
7 . Thee point chages =, =, an 3 = ae fixe at the vetices of an euilateal tiangle with sies of length as shown in the figue. If = 4, how much wok is euie to move chage to the mi-point of the staight line between an 3? Note k = /(4πǫ ). () 8k / () 4k / (3) 6k / (4) k / (5) k / 3. A positivel chage paticle with a chage to mass atio /m = C/kg is taveling to the ight along the with spee = m/s. At t = an x = it encountes unifom anti-paallel electic an magnetic fiels. The magnetic fiel points in the positive x-iection an the electic fiel points in the negative x-iection, as shown in the figue. If the magnitues of the an fiels ae. /m an. T, espectivel, what is the paticle s spee (in m/s) at t = s? () () (3) (4) 3 (5) 4 -axis 4. A positivel chage paticle with a chage to mass atio /m = C/kg is taveling to the ight along the with spee = 3 m/s. At t = an x = it encountes unifom anti-paallel electic an magnetic fiels. The magnetic fiel points in the positive x-iection an the electic fiel points in the negative x-iection, as shown in the figue. If the magnitues of the an fiels ae. /m an. T, espectivel, what is the paticle s spee (in m/s) at t = s? () () (3) (4) 3 (5) 4 -axis 5. A positivel chage paticle with a chage to mass atio /m = C/kg is taveling to the ight along the with spee = 4 m/s. At t = an x = it encountes unifom anti-paallel electic an magnetic fiels. The magnetic fiel points in the positive x-iection an the electic fiel points in the negative x-iection, as shown in the figue. If the magnitues of the an fiels ae. /m an. T, espectivel, what is the paticle s spee (in m/s) at t = s? () () (3) (4) 3 (5) 4 -axis 6. Thee infinitel long staight wies lie in a plane an ca cuent in the same iection as shown in the figue. The top wie caies cuent I an is a istance fom the cente wie which caies cuent I. The bottom wie caies cuent 4I an is a istance fom the cente wie. What is the magnitue of the net foce on a length = /4 of the cente wie ue to the othe two wies? (Note that k = µ /4π) I I 4I () 3k I () 6k I (3) 9k I (4) k I (5) 4k I 7. Thee infinitel long staight wies lie in a plane an ca cuent in the same iection as shown in the figue. The top wie caies cuent I an is a istance fom the cente wie which caies cuent I. The bottom wie caies cuent 4I an is a istance fom the cente wie. What is the magnitue of the net foce on a length = / of the cente wie ue to the othe two wies? (Note that k = µ /4π) () 6k I () 3k I (3) 9k I (4) k I (5) 4k I I I 4I
8 8. Thee infinitel long staight wies lie in a plane an ca cuent in the same iection as shown in the figue. The top wie caies cuent I an is a istance fom the cente wie which caies cuent I. The bottom wie caies cuent 4I an is a istance fom the cente wie. What is the magnitue of the net foce on a length = 3/4 of the cente wie ue to the othe two wies? (Note that k = µ /4π) I I 4I () 9k I () 3k I (3) 6k I (4) k I (5) 4k I 9. A moveable (massless an fictionless) o with a length of =.5 metes is being move at a constant spee along two conucting ails b a constant extenalfocef ext = 3N,asshowninthefigue. Theentiesstemisimmese in a unifom constant magnetic fiel (z-axis out of the pape). If the inuce cuent in the esisto R is A, what is the magnitue of the magnetic fiel (in T)? -out R F ext () 3 () (3) (4) 4 (5) 5. A moveable (massless an fictionless) o with a length of =.5 metes is being move at a constant spee along two conucting ails b a constant extenalfocef ext = 3N,asshowninthefigue. Theentiesstemisimmese in a unifom constant magnetic fiel (z-axis out of the pape). If the inuce cuent in the esisto R is 3 A, what is the magnitue of the magnetic fiel (in T)? -out R F ext () () 3 (3) (4) 4 (5) 5. A moveable (massless an fictionless) o with a length of =.5 metes is being move at a constant spee along two conucting ails b a constant extenalfocef ext = 3N,asshowninthefigue. Theentiesstemisimmese in a unifom constant magnetic fiel (z-axis out of the pape). If the inuce cuent in the esisto R is 6 A, what is the magnitue of the magnetic fiel (in T)? -out R F ext () () 3 (3) (4) 4 (5) 5. Consie an oscillating C cicuit consisting of a capacito with C = mf, no esistance, an an unknown inucto as shown in the figue. At a cetain moment of time the chage on the capacito is 4 mc an the cuent though the inucto is A. If the maximum chage on the capacito uing the oscillations is 6 mc, what is the inuctance (in mh) of the unknown inucto? () 5 () (3) 3 (4) 8 (5) 4 C I 3. Consie an oscillating C cicuit consisting of a capacito with C = mf, no esistance, an an unknown inucto as shown in the figue. At a cetain moment of time the chage on the capacito is 4 mc an the cuent though the inucto is A. If the maximum chage on the capacito uing the oscillations is 8 mc, what is the inuctance (in mh) of the unknown inucto? C I () () 5 (3) 3 (4) 8 (5) 4
9 4. Consie an oscillating C cicuit consisting of a capacito with C = mf, no esistance, an an unknown inucto as shown in the figue. At a cetain moment of time the chage on the capacito is 4 mc an the cuent though the inucto is A. If the maximum chage on the capacito uing the oscillations is mc, what is the inuctance (in mh) of the unknown inucto? () 3 () 5 (3) (4) 8 (5) 4 C I 5. Two light bulbs have the following atings: 4W, an 6W,. If the two lights ae connecte in seies with a MF, what is the total powe issipate b the lights? () 4 () 3 (3) 36 (4) (5) Two light bulbs have the following atings: 45W, an 9W,. If the two lights ae connecte in seies with a MF, what is the total powe issipate b the lights? () 3 () 4 (3) 36 (4) (5) Two light bulbs have the following atings: 6W, an 9W,. If the two lights ae connecte in seies with a MF, what is the total powe issipate b the lights? () 36 () 4 (3) 3 (4) (5) 5 8. Initiall two isolate capacitos with capacitance C an C both ca chage. The two capacitos ae then connecte togethe in paallel (i.e., the positive plate of C connecte to the positive plate of C an the negative plate of C connecte to the negative plate of C ). If C = C, what is the chage on capacito C afte the come to euilibium? () 4/3 () 3/ (3) /3 (4) (5) 9. Initiall two isolate capacitos with capacitance C an C both ca chage. The two capacitos ae then connecte togethe in paallel (i.e., the positive plate of C connecte to the positive plate of C an the negative plate of C connecte to the negative plate of C ). If C = 3C, what is the chage on capacito C afte the come to euilibium? () 3/ () 4/3 (3) /3 (4) (5) 3. Initiall two isolate capacitos with capacitance C an C both ca chage. The two capacitos ae then connecte togethe in paallel (i.e., the positive plate of C connecte to the positive plate of C an the negative plate of C connecte to the negative plate of C ). If C = C /, what is the chage on capacito C afte the come to euilibium? () /3 () 4/3 (3) 3/ (4) (5) 3. A point paticle with chage = mc an mass M = gams entes along the cente of a paallel plate capacito () with a spee of m/s as shown in the figue. The plates of the capacito ae sepaate b a istance with one plate at = +/ an the othe at = /. If = cm an if the chage paticle hits the bottom plate of the capacito afte taveling a hoizontal istance of.4 cm insie the capacito, what is the electic potential iffeence acoss the capacito (in )? () 5, () 3, (3),5 (4),5 (5),6 v -axis
10 3. A point paticle with chage = mc an mass M = gams entes along the cente of a paallel plate capacito () with a spee of m/s as shown in the figue. The plates of the capacito ae sepaate b a istance with one plate at = +/ an the othe at = /. If = cm an if the chage paticle hits the bottom plate of the capacito afte taveling a hoizontal istance of.5 cm insie the capacito, what is the electic potential iffeence acoss the capacito (in )? () 3, () 5, (3),5 (4),5 (5),6 v -axis 33. A point paticle with chage = mc an mass M = gams entes along the cente of a paallel plate capacito () with a spee of m/s as shown in the figue. The plates of the capacito ae sepaate b a istance with one plate at = +/ an the othe at = /. If = cm an if the chage paticle hits the bottom plate of the capacito afte taveling a hoizontal istance of.8 cm insie the capacito, what is the electic potential iffeence acoss the capacito (in )? (),5 () 5, (3) 3, (4),5 (5),6 v -axis 34. A cuent of.75 A flows though a coppe wie.4 mm in iamete when it is connecte to a potential iffeence of 5. If the esistivit of coppe is.7 8 Ω m, how long is the wie (in m)? () 47.8 () 3. (3) 33.6 (4) 59.4 (5) A cuent of.75 A flows though a coppe wie.5 mm in iamete when it is connecte to a potential iffeence of 5. If the esistivit of coppe is.7 8 Ω m, how long is the wie (in m)? () 3. () 47.8 (3) 33.6 (4) 59.4 (5) A cuent of.75 A flows though a coppe wie.6 mm in iamete when it is connecte to a potential iffeence of 5. If the esistivit of coppe is.7 8 Ω m, how long is the wie (in m)? () 33.6 () 47.8 (3) 3. (4) 59.4 (5) A suae wie loop with aea A = 4. m otates about the vetical -axis at 3,6 ev/min in a unifom magnetic fiel that points in the x-iection, as shown in the figue. If the maximum emf inuce in the loop is 5, what is the magnitue of the magnetic fiel (in mt)? () 33. () 49.7 (3) 66.3 (4).6 (5) 85. -axis ω 38. A suae wie loop with aea A = 4. m otates about the vetical -axis at 3,6 ev/min in a unifom magnetic fiel that points in the x-iection, as shown in the figue. If the maximum emf inuce in the loop is 75, what is the magnitue of the magnetic fiel (in mt)? () 49.7 () 33. (3) 66.3 (4).6 (5) 85. -axis ω
11 39. A suae wie loop with aea A = 4. m otates about the vetical -axis at 3,6 ev/min in a unifom magnetic fiel that points in the x-iection, as shown in the figue. If the maximum emf inuce in the loop is, what is the magnitue of the magnetic fiel (in mt)? () 66.3 () 33. (3) 49.7 (4).6 (5) 85. -axis ω 4. Consie the R cicuit shown in the figue which consists of an 8 olt MF, an inucto, = 4 H, an two esistos. Afte the switch is close, what is the stoe eneg in the inucto (in J) at the instant the cuent though the Ω esisto is eual to A? 8 R = Ω = 4H R =4 Ω () 4.5 () 8. (3) 4.5 (4) 7. (5). 4. Consie the R cicuit shown in the figue which consists of an 8 olt MF, an inucto, = 4 H, an two esistos. Afte the switch is close, what is the stoe eneg in the inucto (in J) at the instant the cuent though the Ω esisto is eual to A? 8 R = Ω = 4H R =4 Ω () 8. () 4.5 (3) 4.5 (4) 7. (5). 4. Consie the R cicuit shown in the figue which consists of an 8 olt MF, an inucto, = 4 H, an two esistos. Afte the switch is close, what is the stoe eneg in the inucto (in J) at the instant the cuent though the Ω esisto is eual to 3 A? 8 R = Ω = 4H R =4 Ω () 4.5 () 4.5 (3) 8. (4) 7. (5). 43. A tain is tavelling (in a vacuum) along the at spee, as shown in the figue. Thee is a light souce at est on the tain that emits light in the negative x-iection. An obseve at est on the tain measues the wavelength of the light to be 5 nm an the spee of the light to be c. An obseveat est on the sie of the tack an sees the tain pass him at spee =.c, whee c is the spee of light in a vacuum. What is the wavelength of light (in nm) measue b the obseve on the sie of the tack afte the tain has passe? -axis ight souce () 6.4 () (3). (4) 48. (5) In the pevious poblem, what is the spee of light measue b the obseve on the sie of the tack afte the tain has passe? () c ().8c (3).6c (4).4c (5).c
12 45. A tain is tavelling (in a vacuum) along the at spee, as shown in the figue. Thee is a light souce at est on the tain that emits light in the negative x-iection. An obseve at est on the tain measues the wavelength of the light to be 5 nm an the spee of the light to be c. An obseveat est on the sie of the tack an sees the tain pass him at spee =.4c, whee c is the spee of light in a vacuum. What is the wavelength of light (in nm) measue b the obseve on the sie of the tack afte the tain has passe? -axis ight souce () () 6.4 (3). (4) 48. (5) In the pevious poblem, what is the spee of light measue b the obseve on the sie of the tack afte the tain has passe? () c ().8c (3).6c (4).4c (5).c 47. A tain is tavelling (in a vacuum) along the at spee, as shown in the figue. Thee is a light souce at est on the tain that emits light in the negative x-iection. An obseve at est on the tain measues the wavelength of the light to be 5 nm an the spee of the light to be c. An obseveat est on the sie of the tack an sees the tain pass him at spee =.6c, whee c is the spee of light in a vacuum. What is the wavelength of light (in nm) measue b the obseve on the sie of the tack afte the tain has passe? -axis ight souce (). () 6.4 (3) (4) 48. (5) In the pevious poblem, what is the spee of light measue b the obseve on the sie of the tack afte the tain has passe? () c ().8c (3).6c (4).4c (5).c 49. An obseve at est in the O-fame measues the wavelength of the light fom a comet that is tavelling at a constant spee. The obseve measues wavelength λ towa when the comet is tavelling aiall towa him an wavelengthλ awa when the comet is tavellingaiallawafom him. If λ awa = λ towa, what is the spee of the comet? (Note that c is the spee of light in a vacuum.) at est () c/3 () c/ (3) 3c/5 (4) c/4 (5) 3c/4 Awa Towa at est 5. An obseve at est in the O-fame measues the wavelength of the light fom a comet that is tavelling at a constant spee. The obseve measues wavelength λ towa when the comet is tavelling aiall towa him an wavelengthλ awa when the comet is tavellingaiallawafom him. If λ awa = 3λ towa, what is the spee of the comet? (Note that c is the spee of light in a vacuum.) at est () c/ () c/3 (3) 3c/5 (4) c/4 (5) 3c/4 Awa Towa at est 5. An obseve at est in the O-fame measues the wavelength of the light fom a comet that is tavelling at a constant spee. The obseve measues wavelength λ towa when the comet is tavelling aiall towa him an wavelengthλ awa when the comet is tavellingaiallawafom him. If λ awa = 4λ towa, what is the spee of the comet? (Note that c is the spee of light in a vacuum.) at est () 3c/5 () c/3 (3) c/ (4) c/4 (5) 3c/4 Awa Towa at est
13 5. A small unewate pool light is. m below the suface of a swimming pool. What is the aea (in m ) of the cicle of light on the suface, fom which light emeges fom the wate? (Use n wate = 4/3 an n ai =.) () 5.8 () 7.9 (3).34 (4) 4.4 (5) A small unewate pool light is.4 m below the suface of a swimming pool. What is the aea (in m ) of the cicle of light on the suface, fom which light emeges fom the wate? (Use n wate = 4/3 an n ai =.) () 7.9 () 5.8 (3).34 (4) 4.4 (5) A small unewate pool light is.6 m below the suface of a swimming pool. What is the aea (in m ) of the cicle of light on the suface, fom which light emeges fom the wate? (Use n wate = 4/3 an n ai =.) ().34 () 5.8 (3) 7.9 (4) 4.4 (5) Two light waves tavel in ai with wavelength 5 nm, an the ae initiall in phase. ach passes though a block of length befoe passing back into the ai. One tavels though glass with inex of efaction n =.7, an the othe passes though ice with inex of efaction n =.3. What is the minimum value of (in nm) fo which the waves will unego maximum estuctive intefeence? () 65 () 7 (3) 75 (4) 48 (5) Two light waves tavel in ai with wavelength 56 nm, an the ae initiall in phase. ach passes though a block of length befoe passing back into the ai. One tavels though glass with inex of efaction n =.7, an the othe passes though ice with inex of efaction n =.3. What is the minimum value of (in nm) fo which the waves will unego maximum estuctive intefeence? () 7 () 65 (3) 75 (4) 48 (5) Two light waves tavel in ai with wavelength 6 nm, an the ae initiall in phase. ach passes though a block of length befoe passing back into the ai. One tavels though glass with inex of efaction n =.7, an the othe passes though ice with inex of efaction n =.3. What is the minimum value of (in nm) fo which the waves will unego maximum estuctive intefeence? () 75 () 65 (3) 7 (4) 48 (5) Two ientical conveging lenses each with a focal length of m ae place.5 m apat. What is the oveall magnification of the two-lens sstem fo an object place.5 m awa fom the font lens? () 4 () (3) (4) 4 (5) 59. Two ientical conveging lenses each with a focal length of m ae place. m apat. What is the oveall magnification of the two-lens sstem fo an object place.5 m awa fom the font lens? () () 4 (3) (4) 4 (5) 6. Two ientical conveging lenses each with a focal length of m ae place m apat. What is the oveall magnification of the two-lens sstem fo an object place.5 m awa fom the font lens? () () 4 (3) (4) 4 (5)
14 TH FOOWING USTIONS, NUMRD IN TH ORDR OF THIR APPARANC ON TH AO IST, HA N FAGGD AS CONTINUATION USTIONS: FOOWING GROUPS OF USTIONS WI SCTD AS ON GROUP FROM ACH TYP TYP # S # S # S 3 TYP # S 4 # S 5 # S 6 TYP 3 # S 7 # S 8 # S 9 TYP 4 # S # S # S TYP 5 # S 3 # S 4 # S 5 TYP 6 # S 6 # S 7 # S 8 TYP 7 # S 9 # S # S TYP 8 # S # S 3 # S 4 TYP 9 # S 5 # S 6 # S 7 TYP # S 8 # S 9 # S 3 TYP # S 3 # S 3 # S 33 TYP # S 34 # S 35 # S 36 TYP 3 # S 37 # S 38 # S 39 TYP 4 # S 4 # S 4 # S 4 TYP 5 # S # S # S TYP 6 # S 49 # S 5 # S 5 TYP 7 # S 5 # S 53 # S 54 TYP 8 # S 55 # S 56 # S 57
15 TYP 9 # S 58 # S 59 # S 6
PHY2054 Exam 1 Formula Sheet
Instucto: Field/Mitselmakhe PHYSICS DPATMNT PHY 54 Final am Apil 3, 6 Name (PINT, last, fist): Signatue: On my hono, I have neithe given no eceived unauthoized aid on this eamination. YOU TST NUMB IS TH
More informationPHY 213. General Physics II Test 2.
Univesity of Kentucky Depatment of Physics an Astonomy PHY 3. Geneal Physics Test. Date: July, 6 Time: 9:-: Answe all questions. Name: Signatue: Section: Do not flip this page until you ae tol to o so.
More informationPhysics Courseware Physics II Electric Field and Force
Physics Cousewae Physics II lectic iel an oce Coulomb s law, whee k Nm /C test Definition of electic fiel. This is a vecto. test Q lectic fiel fo a point chage. This is a vecto. Poblem.- chage of µc is
More informationPhysics 122, Fall December 2012
Physics 1, Fall 01 6 Decembe 01 Toay in Physics 1: Examples in eview By class vote: Poblem -40: offcente chage cylines Poblem 8-39: B along axis of spinning, chage isk Poblem 30-74: selfinuctance of a
More informationPhys 1215, First Test. September 20, minutes Name:
Phys 115, Fist Test. Septembe 0, 011 50 minutes Name: Show all wok fo maximum cedit. Each poblem is woth 10 points. k =.0 x 10 N m / C ε 0 = 8.85 x 10-1 C / N m e = 1.60 x 10-1 C ρ = 1.68 x 10-8 Ω m fo
More informationExam 3, vers Physics Spring, 2003
1 of 9 Exam 3, ves. 0001 - Physics 1120 - Sping, 2003 NAME Signatue Student ID # TA s Name(Cicle one): Michael Scheffestein, Chis Kelle, Paisa Seelungsawat Stating time of you Tues ecitation (wite time
More information( )( )( ) ( ) + ( ) ( ) ( )
3.7. Moel: The magnetic fiel is that of a moving chage paticle. Please efe to Figue Ex3.7. Solve: Using the iot-savat law, 7 19 7 ( ) + ( ) qvsinθ 1 T m/a 1.6 1 C. 1 m/s sin135 1. 1 m 1. 1 m 15 = = = 1.13
More informationSolutions to Problems : Chapter 19 Problems appeared on the end of chapter 19 of the Textbook
Solutions to Poblems Chapte 9 Poblems appeae on the en of chapte 9 of the Textbook 8. Pictue the Poblem Two point chages exet an electostatic foce on each othe. Stategy Solve Coulomb s law (equation 9-5)
More informationPhysics C: Electricity and Magnetism
Physics C: Electicity an Magnetism TABLE OF INFORMATION FOR CONSTANTS AND CONVERSION FACTORS - unifie atomic mass unit, u =. 66 7 kg = 93 MeV/ c Poton mass, m p = 67. 7 kg Neuton mass, m n = 67. 7 kg Electon
More information4. Compare the electric force holding the electron in orbit ( r = 0.53
Electostatics WS Electic Foce an Fiel. Calculate the magnitue of the foce between two 3.60-µ C point chages 9.3 cm apat.. How many electons make up a chage of 30.0 µ C? 3. Two chage ust paticles exet a
More informationev dm e evd 2 m e 1 2 ev2 B) e 2 0 dm e D) m e
. A paallel-plate capacito has sepaation d. The potential diffeence between the plates is V. If an electon with chage e and mass m e is eleased fom est fom the negative plate, its speed when it eaches
More informationPhys102 Second Major-182 Zero Version Monday, March 25, 2019 Page: 1
Monday, Mach 5, 019 Page: 1 Q1. Figue 1 shows thee pais of identical conducting sphees that ae to be touched togethe and then sepaated. The initial chages on them befoe the touch ae indicated. Rank the
More informationChapter 28: Magnetic Field and Magnetic Force. Chapter 28: Magnetic Field and Magnetic Force. Chapter 28: Magnetic fields. Chapter 28: Magnetic fields
Chapte 8: Magnetic fiels Histoically, people iscoe a stone (e 3 O 4 ) that attact pieces of ion these stone was calle magnets. two ba magnets can attact o epel epening on thei oientation this is ue to
More informationPY208 Matter & Interactions Final Exam S2005
PY Matte & Inteactions Final Exam S2005 Name (pint) Please cicle you lectue section below: 003 (Ramakishnan 11:20 AM) 004 (Clake 1:30 PM) 005 (Chabay 2:35 PM) When you tun in the test, including the fomula
More informationElectric Potential and Gauss s Law, Configuration Energy Challenge Problem Solutions
Poblem 1: Electic Potential an Gauss s Law, Configuation Enegy Challenge Poblem Solutions Consie a vey long o, aius an chage to a unifom linea chage ensity λ a) Calculate the electic fiel eveywhee outsie
More informationSPH4UI 28/02/2011. Total energy = K + U is constant! Electric Potential Mr. Burns. GMm
8//11 Electicity has Enegy SPH4I Electic Potential M. Buns To sepaate negative an positive chages fom each othe, wok must be one against the foce of attaction. Theefoe sepeate chages ae in a higheenegy
More informationELECTROSTATICS::BHSEC MCQ 1. A. B. C. D.
ELETROSTATIS::BHSE 9-4 MQ. A moving electic chage poduces A. electic field only. B. magnetic field only.. both electic field and magnetic field. D. neithe of these two fields.. both electic field and magnetic
More informationThat is, the acceleration of the electron is larger than the acceleration of the proton by the same factor the electron is lighter than the proton.
PHY 8 Test Pactice Solutions Sping Q: [] A poton an an electon attact each othe electically so, when elease fom est, they will acceleate towa each othe. Which paticle will have a lage acceleation? (Neglect
More information1 2 U CV. K dq I dt J nqv d J V IR P VI
o 5 o T C T F 9 T K T o C 7.5 L L T V VT Q mct nct Q F V ml F V dq A H k TH TC dt L pv nt Kt nt CV ideal monatomic gas 5 CV ideal diatomic gas w/o vibation V W pdv V U Q W W Q e Q Q e Canot H C T T S C
More informationCalculate the electric potential at B d2=4 m Calculate the electric potential at A d1=3 m 3 m 3 m
MTE : Ch 13 5:3-7pm on Oct 31 ltenate Exams: Wed Ch 13 6:3pm-8:pm (people attending the altenate exam will not be allowed to go out of the oom while othes fom pevious exam ae still aound) Thu @ 9:-1:3
More informationr r q Coulomb s law: F =. Electric field created by a charge q: E = = enclosed Gauss s law (electric flux through a closed surface): E ds σ ε0
Q E ds = enclosed ε S 0 08 Fomulae Sheet 1 q 1q q Coulomb s law: F =. Electic field ceated by a chage q: E = 4πε 4πε Pemittivity of fee space: 0 1 = 9 10 4πε 0 9 Newton mete / coulomb = 9 10 9 0 N m Q
More informationPhysics 107 HOMEWORK ASSIGNMENT #15
Physics 7 HOMEWORK SSIGNMENT #5 Cutnell & Johnson, 7 th eition Chapte 8: Poblem 4 Chapte 9: Poblems,, 5, 54 **4 small plastic with a mass of 6.5 x - kg an with a chage of.5 µc is suspene fom an insulating
More informationMAGNETIC FIELD INTRODUCTION
MAGNETIC FIELD INTRODUCTION It was found when a magnet suspended fom its cente, it tends to line itself up in a noth-south diection (the compass needle). The noth end is called the Noth Pole (N-pole),
More informationThat is, the acceleration of the electron is larger than the acceleration of the proton by the same factor the electron is lighter than the proton.
PHYS 55 Pactice Test Solutions Fall 8 Q: [] poton an an electon attact each othe electicall so, when elease fom est, the will acceleate towa each othe Which paticle will have a lage acceleation? (Neglect
More informationPhysics 2212 GH Quiz #2 Solutions Spring 2016
Physics 2212 GH Quiz #2 Solutions Sping 216 I. 17 points) Thee point chages, each caying a chage Q = +6. nc, ae placed on an equilateal tiangle of side length = 3. mm. An additional point chage, caying
More informationSAMPLE PAPER I. Time Allowed : 3 hours Maximum Marks : 70
SAMPL PAPR I Time Allowed : 3 hous Maximum Maks : 70 Note : Attempt All questions. Maks allotted to each question ae indicated against it. 1. The magnetic field lines fom closed cuves. Why? 1 2. What is
More informationF = net force on the system (newton) F,F and F. = different forces working. E = Electric field strength (volt / meter)
All the Impotant Fomulae that a student should know fom. XII Physics Unit : CHAPTER - ELECTRIC CHARGES AND FIELD CHAPTER ELECTROSTATIC POTENTIAL AND CAPACITANCE S. Fomula No.. Quantization of chage Q =
More informationA moving charged particle creates a magnetic field vector at every point in space except at its position.
1 Pat 3: Magnetic Foce 3.1: Magnetic Foce & Field A. Chaged Paticles A moving chaged paticle ceates a magnetic field vecto at evey point in space ecept at its position. Symbol fo Magnetic Field mks units
More informationPhysics 313 Practice Test Page 1. University Physics III Practice Test II
Physics 313 Pactice Test Page 1 Univesity Physics III Pactice Test II This pactice test should give you a ough idea of the fomat and oveall level of the Physics 313 exams. The actual exams will have diffeent
More information16.1 Permanent magnets
Unit 16 Magnetism 161 Pemanent magnets 16 The magnetic foce on moving chage 163 The motion of chaged paticles in a magnetic field 164 The magnetic foce exeted on a cuent-caying wie 165 Cuent loops and
More informationPhysics Spring 2012 Announcements: Mar 07, 2012
Physics 00 - Sping 01 Announcements: Ma 07, 01 HW#6 due date has been extended to the moning of Wed. Ma 1. Test # (i. Ma ) will cove only chaptes 0 and 1 All of chapte will be coveed in Test #4!!! Test
More informationElectrostatics (Electric Charges and Field) #2 2010
Electic Field: The concept of electic field explains the action at a distance foce between two chaged paticles. Evey chage poduces a field aound it so that any othe chaged paticle expeiences a foce when
More information$ i. !((( dv vol. Physics 8.02 Quiz One Equations Fall q 1 q 2 r 2 C = 2 C! V 2 = Q 2 2C F = 4!" or. r ˆ = points from source q to observer
Physics 8.0 Quiz One Equations Fall 006 F = 1 4" o q 1 q = q q ˆ 3 4" o = E 4" o ˆ = points fom souce q to obseve 1 dq E = # ˆ 4" 0 V "## E "d A = Q inside closed suface o d A points fom inside to V =
More informationReview for Midterm-1
Review fo Midtem-1 Midtem-1! Wednesday Sept. 24th at 6pm Section 1 (the 4:10pm class) exam in BCC N130 (Business College) Section 2 (the 6:00pm class) exam in NR 158 (Natual Resouces) Allowed one sheet
More information15 B1 1. Figure 1. At what speed would the car have to travel for resonant oscillations to occur? Comment on your answer.
Kiangsu-Chekiang College (Shatin) F:EasteHolidaysAssignmentAns.doc Easte Holidays Assignment Answe Fom 6B Subject: Physics. (a) State the conditions fo a body to undego simple hamonic motion. ( mak) (a)
More informationPhysics 4A Chapter 8: Dynamics II Motion in a Plane
Physics 4A Chapte 8: Dynamics II Motion in a Plane Conceptual Questions and Example Poblems fom Chapte 8 Conceptual Question 8.5 The figue below shows two balls of equal mass moving in vetical cicles.
More informationSEE LAST PAGE FOR SOME POTENTIALLY USEFUL FORMULAE AND CONSTANTS
Cicle instucto: Moow o Yethiaj Name: MEMORIL UNIVERSITY OF NEWFOUNDLND DEPRTMENT OF PHYSICS ND PHYSICL OCENOGRPHY Final Eam Phsics 5 Winte 3:-5: pil, INSTRUCTIONS:. Do all SIX (6) questions in section
More information18.1 Origin of Electricity 18.2 Charged Objects and Electric Force
1 18.1 Oigin of lecticity 18. Chaged Objects and lectic Foce Thee ae two kinds of electic chage: positive and negative. The SI unit of electic chage is the coulomb (C). The magnitude of the chage on an
More information4.[1pt] Two small spheres with charges -4 C and -9 C are held 9.5 m apart. Find the magnitude of the force between them.
. [pt] A peson scuffing he feet on a wool ug on a y ay accumulates a net chage of - 4.uC. How many ecess electons oes this peson get? Coect, compute gets:.63e+4. [pt] By how much oes he mass incease? Coect,
More informationConventional Paper-I (a) Explain the concept of gradient. Determine the gradient of the given field: ( )
EE-Conventional Pape-I IES-013 www.gatefoum.com Conventional Pape-I-013 1. (a) Eplain the concept of gadient. Detemine the gadient of the given field: V ρzsin φ+ z cos φ+ρ What is polaization? In a dielectic
More informationGauss Law. Physics 231 Lecture 2-1
Gauss Law Physics 31 Lectue -1 lectic Field Lines The numbe of field lines, also known as lines of foce, ae elated to stength of the electic field Moe appopiately it is the numbe of field lines cossing
More informationPhys 222 Sp 2009 Exam 1, Wed 18 Feb, 8-9:30pm Closed Book, Calculators allowed Each question is worth one point, answer all questions
Phys Sp 9 Exam, Wed 8 Feb, 8-9:3pm Closed Book, Calculatos allowed Each question is woth one point, answe all questions Fill in you Last Name, Middle initial, Fist Name You ID is the middle 9 digits on
More informationCHAPTER 10 ELECTRIC POTENTIAL AND CAPACITANCE
CHAPTER 0 ELECTRIC POTENTIAL AND CAPACITANCE ELECTRIC POTENTIAL AND CAPACITANCE 7 0. ELECTRIC POTENTIAL ENERGY Conside a chaged paticle of chage in a egion of an electic field E. This filed exets an electic
More informationPrerna Tower, Road No 2, Contractors Area, Bistupur, Jamshedpur , Tel (0657) , PART I PHYSICS
ena Towe, oad No, Contactos Aea, Bistupu, Jamshedpu 8311, Tel (657)189, www.penaclasses.com IIT JEE 1 hsics ape II AT I HYSICS SECTION I : Single Coect Answe Tpe This Section contains 8 multiple choice
More information17.1 Electric Potential Energy. Equipotential Lines. PE = energy associated with an arrangement of objects that exert forces on each other
Electic Potential Enegy, PE Units: Joules Electic Potential, Units: olts 17.1 Electic Potential Enegy Electic foce is a consevative foce and so we can assign an electic potential enegy (PE) to the system
More information(Sample 3) Exam 1 - Physics Patel SPRING 1998 FORM CODE - A (solution key at end of exam)
(Sample 3) Exam 1 - Physics 202 - Patel SPRING 1998 FORM CODE - A (solution key at end of exam) Be sue to fill in you student numbe and FORM lette (A, B, C) on you answe sheet. If you foget to include
More informationGRAVITATION. Einstein Classes, Unit No. 102, 103, Vardhman Ring Road Plaza, Vikas Puri Extn., New Delhi -18 PG 1
Einstein Classes, Unit No. 0, 0, Vahman Ring Roa Plaza, Vikas Pui Extn., New Delhi -8 Ph. : 96905, 857, E-mail einsteinclasses00@gmail.com, PG GRAVITATION Einstein Classes, Unit No. 0, 0, Vahman Ring Roa
More informationMagnetic fields (origins) CHAPTER 27 SOURCES OF MAGNETIC FIELD. Permanent magnets. Electric currents. Magnetic field due to a moving charge.
Magnetic fields (oigins) CHAPTER 27 SOURCES OF MAGNETC FELD Magnetic field due to a moving chage. Electic cuents Pemanent magnets Magnetic field due to electic cuents Staight wies Cicula coil Solenoid
More informationElectromagnetism Physics 15b
lectomagnetism Physics 15b Lectue #20 Dielectics lectic Dipoles Pucell 10.1 10.6 What We Did Last Time Plane wave solutions of Maxwell s equations = 0 sin(k ωt) B = B 0 sin(k ωt) ω = kc, 0 = B, 0 ˆk =
More informationPhysics 107 TUTORIAL ASSIGNMENT #8
Physics 07 TUTORIAL ASSIGNMENT #8 Cutnell & Johnson, 7 th edition Chapte 8: Poblems 5,, 3, 39, 76 Chapte 9: Poblems 9, 0, 4, 5, 6 Chapte 8 5 Inteactive Solution 8.5 povides a model fo solving this type
More informationUniversity Physics (PHY 2326)
Chapte Univesity Physics (PHY 6) Lectue lectostatics lectic field (cont.) Conductos in electostatic euilibium The oscilloscope lectic flux and Gauss s law /6/5 Discuss a techniue intoduced by Kal F. Gauss
More informationChapter 22 Problems. Problems Chapter 22 Page 1 of 3
Chapte 22 Poblems Poblem 1: A +15 micoc chage is located 40 cm fom a +3.0 micoc chage. The magnitude of the electostatic foce on the lage chage and on the smalle chage (in N) is, espectively. Poblem 2:
More informationMAGNETICS EFFECTS OF ELECTRIC CURRENT
Lesson- MAGNETCS EFFECTS F ELECTC CUENT este in 8 by obseving the eflection of compass neele when it is bought nea a cuent caying conucto iscovee that a cuent caying conucto pouces magnetic fiel in space
More informationBasic oces an Keple s Laws 1. Two ientical sphees of gol ae in contact with each othe. The gavitational foce of attaction between them is Diectly popotional to the squae of thei aius ) Diectly popotional
More informationMagnetic Dipoles Challenge Problem Solutions
Magnetic Dipoles Challenge Poblem Solutions Poblem 1: Cicle the coect answe. Conside a tiangula loop of wie with sides a and b. The loop caies a cuent I in the diection shown, and is placed in a unifom
More informationPhys-272 Lecture 17. Motional Electromotive Force (emf) Induced Electric Fields Displacement Currents Maxwell s Equations
Phys-7 Lectue 17 Motional Electomotive Foce (emf) Induced Electic Fields Displacement Cuents Maxwell s Equations Fom Faaday's Law to Displacement Cuent AC geneato Magnetic Levitation Tain Review of Souces
More information06 - ROTATIONAL MOTION Page 1 ( Answers at the end of all questions )
06 - ROTATIONAL MOTION Page ) A body A of mass M while falling vetically downwads unde gavity beaks into two pats, a body B of mass ( / ) M and a body C of mass ( / ) M. The cente of mass of bodies B and
More informationUNIT 3:Electrostatics
The study of electic chages at est, the foces between them and the electic fields associated with them. UNIT 3:lectostatics S7 3. lectic Chages and Consevation of chages The electic chage has the following
More informationLook over Chapter 22 sections 1-8 Examples 2, 4, 5, Look over Chapter 16 sections 7-9 examples 6, 7, 8, 9. Things To Know 1/22/2008 PHYS 2212
PHYS 1 Look ove Chapte sections 1-8 xamples, 4, 5, PHYS 111 Look ove Chapte 16 sections 7-9 examples 6, 7, 8, 9 Things To Know 1) What is an lectic field. ) How to calculate the electic field fo a point
More informatione = 1.60 x 10 ε 0 = 8.85 x C 2 / Nm 2 V i...) F a = m Power =
Equations: 1 1 Constants: q q v v F = k F = qe e = 1.6 x 1-19 C q 1 q 1 9 E = k = k = = 9 1 Nm / C 4πε 4 πε Φ = E da Φ V Total v v q = E da = = V f V i = W q enclosed ε = E ds U e V = q q V V V V = k E
More informationCurrent, Resistance and
Cuent, Resistance and Electomotive Foce Chapte 25 Octobe 2, 2012 Octobe 2, 2012 Physics 208 1 Leaning Goals The meaning of electic cuent, and how chages move in a conducto. What is meant by esistivity
More informationanubhavclasses.wordpress.com CBSE Solved Test Papers PHYSICS Class XII Chapter : Electrostatics
CBS Solved Test Papes PHYSICS Class XII Chapte : lectostatics CBS TST PAPR-01 CLASS - XII PHYSICS (Unit lectostatics) 1. Show does the foce between two point chages change if the dielectic constant of
More informationElectric Potential. Outline. Potential Energy per Unit Charge. Potential Difference. Potential Energy Difference. Quiz Thursday on Chapters 23, 24.
lectic otential Quiz Thusay on Chaptes 3, 4. Outline otential as enegy pe unit chage. Thi fom of Coulomb s Law. elations between fiel an potential. otential negy pe Unit Chage Just as the fiel is efine
More informationPage 1 of 6 Physics II Exam 1 155 points Name Discussion day/time Pat I. Questions 110. 8 points each. Multiple choice: Fo full cedit, cicle only the coect answe. Fo half cedit, cicle the coect answe and
More informationof Technology: MIT OpenCourseWare). (accessed MM DD, YYYY). License: Creative Commons Attribution- Noncommercial-Share Alike.
MIT OpenCouseWae http://ocw.mit.eu 6.013/ESD.013J Electomagnetics an Applications, Fall 005 Please use the following citation fomat: Makus Zahn, Eich Ippen, an Davi Staelin, 6.013/ESD.013J Electomagnetics
More information21 MAGNETIC FORCES AND MAGNETIC FIELDS
CHAPTER 1 MAGNETIC ORCES AND MAGNETIC IELDS ANSWERS TO OCUS ON CONCEPTS QUESTIONS 1. (d) Right-Hand Rule No. 1 gives the diection of the magnetic foce as x fo both dawings A and. In dawing C, the velocity
More informationChapter 22: Electric Fields. 22-1: What is physics? General physics II (22102) Dr. Iyad SAADEDDIN. 22-2: The Electric Field (E)
Geneal physics II (10) D. Iyad D. Iyad Chapte : lectic Fields In this chapte we will cove The lectic Field lectic Field Lines -: The lectic Field () lectic field exists in a egion of space suounding a
More informationSchool of Electrical and Computer Engineering, Cornell University. ECE 303: Electromagnetic Fields and Waves. Fall 2007
School of Electical and Compute Engineeing, Conell Univesity ECE 303: Electomagnetic Fields and Waves Fall 007 Homewok 8 Due on Oct. 19, 007 by 5:00 PM Reading Assignments: i) Review the lectue notes.
More informationMagnetic Field. Conference 6. Physics 102 General Physics II
Physics 102 Confeence 6 Magnetic Field Confeence 6 Physics 102 Geneal Physics II Monday, Mach 3d, 2014 6.1 Quiz Poblem 6.1 Think about the magnetic field associated with an infinite, cuent caying wie.
More informationSensors and Actuators Introduction to sensors
Sensos an ctuatos Intouction to sensos Sane Stuijk (s.stuijk@tue.nl) Depatment of Electical Engineeing Electonic Systems PITIE SENSORS (hapte 3., 7., 9.,.6, 3., 3.) 3 Senso classification type / quantity
More informationElectrostatics. 1. Show does the force between two point charges change if the dielectric constant of the medium in which they are kept increase?
Electostatics 1. Show does the foce between two point chages change if the dielectic constant of the medium in which they ae kept incease? 2. A chaged od P attacts od R whee as P epels anothe chaged od
More informationAdvanced Subsidiary GCE (H157) Advanced GCE (H557) Physics B (Advancing Physics) Data, Formulae and Relationships Booklet
Advanced Subsidiay GCE (H57) Advanced GCE (H557) Physics B (Advancing Physics) Data, Fomulae and Relationships Booklet The infomation in this booklet is fo the use of candidates following the Advanced
More informationPhysics 2020, Spring 2005 Lab 5 page 1 of 8. Lab 5. Magnetism
Physics 2020, Sping 2005 Lab 5 page 1 of 8 Lab 5. Magnetism PART I: INTRODUCTION TO MAGNETS This week we will begin wok with magnets and the foces that they poduce. By now you ae an expet on setting up
More informationCh 30 - Sources of Magnetic Field! The Biot-Savart Law! = k m. r 2. Example 1! Example 2!
Ch 30 - Souces of Magnetic Field 1.) Example 1 Detemine the magnitude and diection of the magnetic field at the point O in the diagam. (Cuent flows fom top to bottom, adius of cuvatue.) Fo staight segments,
More informationChapter 23: GAUSS LAW 343
Chapte 23: GAUSS LAW 1 A total chage of 63 10 8 C is distibuted unifomly thoughout a 27-cm adius sphee The volume chage density is: A 37 10 7 C/m 3 B 69 10 6 C/m 3 C 69 10 6 C/m 2 D 25 10 4 C/m 3 76 10
More informationCHAPTER 25 ELECTRIC POTENTIAL
CHPTE 5 ELECTIC POTENTIL Potential Diffeence and Electic Potential Conside a chaged paticle of chage in a egion of an electic field E. This filed exets an electic foce on the paticle given by F=E. When
More informationPhysics 2112 Unit 14
Physics 2112 Unit 14 Today s Concept: What Causes Magnetic Fields d 0I ds ˆ 2 4 Unit 14, Slide 1 You Comments Can you give a summay fo eveything we use the ight hand ule fo? Wasn't too clea on this topic.
More informationElecto Magnetism iot Savat s Law and Ampee s Cicuital Law 1. A cuent is flowing due noth along a powe line. The diection of the magnetic field above it, neglecting the eath s field is: (1) Noth () East
More informationLecture 8 - Gauss s Law
Lectue 8 - Gauss s Law A Puzzle... Example Calculate the potential enegy, pe ion, fo an infinite 1D ionic cystal with sepaation a; that is, a ow of equally spaced chages of magnitude e and altenating sign.
More informationAlgebra-based Physics II
lgebabased Physics II Chapte 19 Electic potential enegy & The Electic potential Why enegy is stoed in an electic field? How to descibe an field fom enegetic point of view? Class Website: Natual way of
More informationObjectives: After finishing this unit you should be able to:
lectic Field 7 Objectives: Afte finishing this unit you should be able to: Define the electic field and explain what detemines its magnitude and diection. Wite and apply fomulas fo the electic field intensity
More informationUniversity of Illinois at Chicago Department of Physics. Electricity & Magnetism Qualifying Examination
E&M poblems Univesity of Illinois at Chicago Depatment of Physics Electicity & Magnetism Qualifying Examination Januay 3, 6 9. am : pm Full cedit can be achieved fom completely coect answes to 4 questions.
More informationELECTRIC CHARGE AND ELECTRIC FIELD
LCTRIC CHARG AND LCTRIC FILD (a) IDNTIFY and ST UP: Use the chage of one electon ( 6 C) to find the numbe of electons euied to poduce the net chage XCUT: The numbe of ecess electons needed to poduce net
More informationCurrent Balance Warm Up
PHYSICS EXPERIMENTS 133 Cuent Balance-1 Cuent Balance Wam Up 1. Foce between cuent-caying wies Wie 1 has a length L (whee L is "long") and caies a cuent I 0. What is the magnitude of the magnetic field
More informationF (-4.32x x10 k) Newtons a = (-4.742x x10 )m/s 9.11x10 kg
P Physics d Quate Test Review KEY k 8.99 x 9 Nm /C 8.85 x - C /Nm e.6 x -9 C milli - mico -6 nano -9 pico - Mega 6 Electostatics. Chage, Field, and Potential a. poton is placed in a unifom electic field
More informationReview for 2 nd Midterm
Review fo 2 nd Midtem Midtem-2! Wednesday Octobe 29 at 6pm Section 1 N100 BCC (Business College) Section 2 158 NR (Natual Resouces) Allowed one sheet of notes (both sides) and calculato Coves Chaptes 27-31
More informationPHYS 2135 Exam I February 13, 2018
Exam Total /200 PHYS 2135 Exam I Febuay 13, 2018 Name: Recitation Section: Five multiple choice questions, 8 points each Choose the best o most nealy coect answe Fo questions 6-9, solutions must begin
More informationUNIVERSITY OF SASKATCHEWAN Department of Physics and Engineering Physics
UNIVERSITY OF SASKATCHEWAN Depatment of Physics and Engineeing Physics Physics 115.3 Physics and the Univese FINAL EXAMINATION Decembe 21, 2016 NAME: (Last) Please Pint (Given) Time: 3 hous STUDENT NO.:
More informationEXAMINATION IN 2C1134 Electrotechnical design December
SOLUTIONS: EXAMINATION IN C4 Electotechnical esign Decembe --6 Solution to oblem : The temeatue ise o staight conuctos buie in goun is given b Li D Ti Pi Pk πλ πλ g i k i g ik ik whee L i is thei eth une
More informationGauss s Law: Circuits
Gauss s Law: Cicuits Can we have excess chage inside in steady state? E suface nˆ A q inside E nˆ A E nˆ A left _ suface ight _ suface q inside 1 Gauss s Law: Junction Between two Wies n 2
More informationObjects usually are charged up through the transfer of electrons from one object to the other.
1 Pat 1: Electic Foce 1.1: Review of Vectos Review you vectos! You should know how to convet fom pola fom to component fom and vice vesa add and subtact vectos multiply vectos by scalas Find the esultant
More informationThe Law of Biot-Savart & RHR P θ
The Law of iot-savat & RHR P R dx x Jean-aptiste iot élix Savat Phys 122 Lectue 19 G. Rybka Recall: Potential Enegy of Dipole Wok equied to otate a cuentcaying loop in a magnetic field Potential enegy
More informationTUTORIAL 9. Static magnetic field
TUTOIAL 9 Static magnetic field Vecto magnetic potential Null Identity % & %$ A # Fist postulation # " B such that: Vecto magnetic potential Vecto Poisson s equation The solution is: " Substitute it into
More informationQuiz 6--Work, Gravitation, Circular Motion, Torque. (60 pts available, 50 points possible)
Name: Class: Date: ID: A Quiz 6--Wok, Gavitation, Cicula Motion, Toque. (60 pts available, 50 points possible) Multiple Choice, 2 point each Identify the choice that best completes the statement o answes
More informationFields and Waves I Spring 2005 Homework 8. Due: 3 May 2005
Fields and Waves I Sping 005 Homewok 8 Tansmission Lines Due: 3 May 005. Multiple Choice (6) a) The SWR (standing wave atio): a) is a measue of the match between the souce impedance and line impedance
More informationForce and Work: Reminder
Electic Potential Foce and Wok: Reminde Displacement d a: initial point b: final point Reminde fom Mechanics: Foce F if thee is a foce acting on an object (e.g. electic foce), this foce may do some wok
More informationELECTROMAGNETISM (CP2)
Revision Lectue on ELECTROMAGNETISM (CP) Electostatics Magnetostatics Induction EM Waves based on pevious yeas Pelims questions State Coulomb s Law. Show how E field may be defined. What is meant by E
More informationPHYS 1444 Lecture #5
Shot eview Chapte 24 PHYS 1444 Lectue #5 Tuesday June 19, 212 D. Andew Bandt Capacitos and Capacitance 1 Coulom s Law The Fomula QQ Q Q F 1 2 1 2 Fomula 2 2 F k A vecto quantity. Newtons Diection of electic
More information( ) Make-up Tests. From Last Time. Electric Field Flux. o The Electric Field Flux through a bit of area is
Mon., 3/23 Wed., 3/25 Thus., 3/26 Fi., 3/27 Mon., 3/30 Tues., 3/31 21.4-6 Using Gauss s & nto to Ampee s 21.7-9 Maxwell s, Gauss s, and Ampee s Quiz Ch 21, Lab 9 Ampee s Law (wite up) 22.1-2,10 nto to
More information3-Axis Vector Magnet: Construction and Characterisation of Split Coils at RT. Semester Project Petar Jurcevic
3-Axis Vecto Magnet: Constuction and Chaacteisation of Split Coils at RT Semeste Poject Peta Jucevic Outline Field Calculation and Simulation Constuction Details Field Calculations Chaacteization at RT
More information