Electrostatics (Electric Charges and Field) #2 2010
|
|
- Trevor Copeland
- 5 years ago
- Views:
Transcription
1 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 kept in the field. An electic field is said to exist at a point if an electic foce is expeienced by a test chage (any chaged body) kept at that point. Quantitatively, the electic field at a point is defined as the foce expeienced pe unit chage by a positive test chage kept at that point. Mathematically, Electic Field is a vecto quantity and its diection is same as the diection of foce expeienced by a positive test chage kept at that point. The unit of electic field is newton pe coulomb (N C -1 ) o volt pe mete (V m -1 ) The dimension of electic field The foce expeienced by a chage q in a field F=qE A positive chage will expeience a foce in the diection of the field and a negative chage will expeience a foce opposite to the diection of the field. Electic field due to a point chage. Conside a point chage q kept at a point. Let be a point at a distance fom the point chage whee we wish to detemine the electic field. If a test chage q 0 is kept at the point, the electic foce expeienced by q 0 is given by, Then, the foce expeienced by test chage due to dq, The total foce on q 0 Volume chage distibution If thee is a body with chage distibuted all ove its volume so that the chage pe unit volume (volume chage density) is, the chage on an elementay volume dv is dq= dv The foce on a test chage q 0 due to this elementay chage is, The total foce on q 0 by the chage distibution, The electic field at the location of q 0, Suface chage distibution If chage is distibuted in two dimensional space, then the suface density of chage If ds is a small elementay aea, then the chage on this elementay aea ds is dq= ds The foce expeienced by a test chage q 0 at a distance, The total foce on q 0 by the chage distibution, The electic field at the location of q 0, Theefoe, The electic field at, inciple of Supeposition of electic Field. The electic field at any point due to a numbe of point chages is equal to the vecto sum of electic fields poduced by each chage individually at that point. Electic Field due to continuous chage distibutions When a lage numbe of point chages ae kept vey close to each othe in a continuous manne, then a test chage kept at a distance will expeience a foce. If we imagine that the chage on the body is made up of lage numbe of elementay chages dq each, Linea Chage Distibution If chage is distibuted in one dimension, then we speak about linea chage density = dq/dl If we conside a small elementay length dl. the chage on it will be, dq= dl The foce on a test chage q 0, The total foce on q 0, The electic field at the location of q 0, w w w. p l u s t w o p h y s i c s. c o m age 1
2 Electic Dipole: An electic dipole is a pai of equal and opposite chages q and q sepaated by a small distance 2l Dipole moment () is the poduct of eithe chage and the distance between the two point chages. Electic dipole moment is a vecto quantity and is diected fom negative chage to positive chage. Unit of electic dipole moment is coulomb mete (C m) Electic Field due to a dipole (a) Axial osition Conside a dipole fomed by two chages ±q sepaated by a distance 2l. Let be a point on the axial line at a distance fom the cente of the dipole. The electic field at due to chage (-q) at A is towads left and is given by (along A) The electic field at due to chage (q) at B is towads ight and is given by (along B) So, the esultant electic field at will be towads ight since E B > E A E axial = E B - E A = Reaanging, 2lq =, the electic dipole moment of the dipole., Fo a shot dipole >>l and l 2 in denominato can be neglected in compaison to 2 moment (b) Equatoial osition A ( q) B (q) E A E B In the diection of dipole Conside a dipole fomed by two chages ±q sepaated by a distance 2l. Let C be a point on the equatoial line at a distance fom the cente of the dipole. The electic field at the point C due to (-q) at A is along CA (towads A) and the electic field at C due to (q) at B is along BC (away fom B). The two fields ae equal in magnitude but act in diffeent diections. A (-q) B (q) Resolving E A and E B in mutually pependicula components, the vetical components E A sin and E B sin cancel out being equal in magnitude and opposite in diection. The hoizontal components E A cos and E B cos add up. The esultant electic field on the equatoial position, But, E A Cos E B Cos E B E A E B Sin C E A Sin Fo a shot dipole >>l and l 2 in denominato can be neglected in compaison to 2 aallel to the dipole moment and opposite in diection (c) Any position (shot dipole) Conside an electic dipole of dipole moment. Let C be a point at a distance (>>l). The line joining the cente of the dipole and the point C make an angle with the axis of the dipole. C cos sin The dipole moment can be esolved in to two mutually pependicula components cos and sin. Fo the component cos C is axial position and fo the component sin C is equatoial position. Let the components of electic field at C be E ll and E w w w. p l u s t w o p h y s i c s. c o m age 2
3 Since they ae mutually pependicula, the esultant electic field at C, n axial position, =0, and cos =1 n equatoial position =90, and cos =0 Toque on a dipole in a unifom electic field Conside a dipole fomed by two chages ±q sepaated by a distance 2l placed in a unifom electic field E with its axis making an angle with q the electic field. qe B 2l cos qe -q The chage A q at B expeiences a foce qe in the diection of electic field and the chage q expeiences a foce qe opposite the diection of electic field. The foces ae equal in magnitude but opposite in diection. Theefoe the net foce acting on the dipole is zeo. But since these equal and opposite foces ae paallel to each othe sepaated by a distance, they constitute a couple. The toque (tuning effect) of the couple is given by In Vecto fom, The diection of is pependicula to both and E The toque ties to align the dipole moment paallel to the electic field. When =0, the dipole is in stable equilibium (net foce = 0 and net toque = 0 and the dipole egains its oiginal position when slightly distubed) and when = 180, the dipole in unstable equilibium (net foce = 0 and net toque = 0 and the dipole goes futhe away fom its oiginal position when slightly distubed) Toque is maximum when =90 ; Electic dipole in a non unifom field In a unifom electic field, the foce on the two chages of the dipole will be diffeent and theefoe the dipole will expeience a net foce as well as a net toque. Electic field lines Electic field lines ae used to epesent a field diagammatically. An electic field line (also called electic lines of foce) is an imaginay line in an electic field such that the tangent to it at any point gives the diection of electic field at that point. In an electic field a fee positive test chage will move along an electic field line. opeties of electic field line 1. They stat fom a positive chage and end in a negative chage 2. Field lines ae smooth continuous cuves without any abupt changes o beaks. 3. The tangent to it at any point gives the diection of electic field at that point. 4. Electic field lines neve intesect each othe* 5. They always ente o emege nomal to the suface of a conducto**. 6. They tend to contact longitudinally (on account of attaction between unlike chages) 7. They tend to expand lateally (on account of epulsion between like chages) 8. The elative closeness of field lines indicate the stength of electic field. i.e, Electic field lines ae close in egions of geate electic field and fa apat in egions of weake electic field. *Electic field lines neve intesect each othe. Why? If they intesect, two tangents can be dawn at the point of intesection indicating two diffeent diections of electic field at the same position which is impossible. **Electic field lines ae always nomal to the suface of a conducto. Why? If the electic field line is not nomal, it can be esolved into two components, a nomal component and a tangential component. The tangential component will make the fee chages of the conducto to move along the suface of the conducto. But no such movements ae obseved indicating that thee is no tangential component which implies that the electic field lines ae always nomal to the suface of a conducto. Aea vecto Aea vecto of a suface is a vecto nomal to the suface and whose magnitude is equal to the aea of the suface Solid angle The atio of the aea to the squae of the magnitude of adius vecto is the solid angle subtended by the aea. w w w. p l u s t w o p h y s i c s. c o m age 3
4 The solid angle subtended by an aea ds whose adius vecto makes and angle with the aea vecto is Fo an abitay suface, the total angle subtented by the suface The total solid angle aound a point in fee space is 4 std Electic Flux Electic flux though a suface is a measue of the total numbe of electic field lines passing nomal to the given suface. The electic flyx though and elementay suface of aea ds is given by The total electic flux though a suface Electic Flux is a scala quantity and its unit is Nm 2 C -1 Gauss Theoem Gauss theoem states that the total electic flux though a closed suface (in vacuum) is equal to times the net chage enclosed by the suface. Mathematically, Inside a medium the eqn becomes Applications of Gauss theoem (i) Electic field due to a point chage Conside a point chage q kept at the point. Let be a point at a distance fom the point chage. Imagine a Gaussian sphee** passing though with the chage at as the cente. Let ds be a small elementay aea on the suface of the sphee. q Applying Gauss theoem, By symmety, E is constant at any point on the suface of the Gaussian sphee and =0 since E and ds ae in the same diection., since Theefoe, The electic field at the point, (ii) Electic field due to a line of chage Conside a long staight line of chage of linea chage density. Let be a point at a distance fom the line of chage. Imagine a Gaussian Cylinde passing though and with the line of chage as the axis. Let ds be a small elementay suface aound the point. Applying Gauss theoem, The cylindical Gaussian suface is composed of thee sufaces two plane sufaces and one cuved suface. But =0 fo cuved suface and 90 fo plane suface. Theefoe, By symmety, E is constant thoughout the cuved suface and q = l, whee l is the length (height) of the Gaussian cylinde. Theefoe, E But, E R E =, cuved suface aea of the cylinde (iii) Electic field due to a plane sheet of chage Conside a plane sheet of chage of suface density of chage. Let be a point at a distance fom the plane sheet of chage. Imagine a Gaussian cylinde passing though and symmetic about the plane sheet of chage as shown in figue. w w w. p l u s t w o p h y s i c s. c o m age 4
5 Imagine small elementay aea ds aound. Applying Gauss Theoem, Theefoe, The electic field at the point The cylindical Gaussian suface is composed of thee sufaces two plane sufaces and one cuved suface. But =0 fo plane suface and 90 fo cuved suface. Theefoe, By symmety, E is constant thoughout the plane sufaces as we have imagined the two pane sufaces equidistant fom the sheet of chage and q = S, whee S is the aea of coss section of the cylinde and is the aea of the plane sheet inside the Gaussian cylinde. E is independent of distance (povided the distance is too lage compaed to the size of the sheet of chage) (iv) Electic field due to a chage spheical conducting shell Conside a chaged spheical conducting shell with chage q with cente. Hee, thee ae thee diffeent typical positions fo the point whee the electic field can be evaluated. 1. utside the spheical shell Let be a point outside the spheical shell at a distance fom the cente of the sphee. Imagine a Gaussian sphee passing though and concentic with the spheical shell. Let ds be a small elementay aea on the suface of the sphee. R q This value is same as that due to a point chage. Theefoe we can say that the chaged spheical shell behaves as if the entie chage is concentated at its cente. 2. n the spheical shell n the spheical shell, =R. Theefoe, 3. Inside the spheical shell Fo a point inside the sphee, the Gaussian suface does not enclose any chage and theefoe the Electic field = o Accoding to Gauss Theoem, Hee q enclosed =0 Theefoe, E = 0 This is applicable fo a cavity of any shape. The electic field inside a cavity is always zeo The above esults ae also tue fo a chaged solid conducting sphee as well as a unifomly chaged nonconducting spheical shell. Electostatic Shielding The vanishing of electic field inside a cavity is called electostatic shielding. The above esults ae also tue fo a chaged solid conducting sphee as well as a unifomly chaged non-conducting spheical shell. Gaph showing the vaiation of electic field with distance fom the cente of a chaged spheical shell E Applying Gauss theoem, By symmety, E is constant at any point on the suface of the Gaussian sphee and =0 since E and ds ae in the same diection., since R Q. Why is it safe to be inside the ca when you ae out in a ca duing the time of lightning and thunde? Q. Suggest a method to safely cay a highly sensitive electical instument though a egion of stong and vaying electic field. Explain the pinciple used in the method suggested by you. Q. Why the net chage inside a conducto is always zeo? **************************** w w w. p l u s t w o p h y s i c s. c o m age 5
Physics 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 informationFlux. Area Vector. Flux of Electric Field. Gauss s Law
Gauss s Law Flux Flux in Physics is used to two distinct ways. The fist meaning is the ate of flow, such as the amount of wate flowing in a ive, i.e. volume pe unit aea pe unit time. O, fo light, it is
More informationChapter 22 The Electric Field II: Continuous Charge Distributions
Chapte The lectic Field II: Continuous Chage Distibutions A ing of adius a has a chage distibution on it that vaies as l(q) l sin q, as shown in Figue -9. (a) What is the diection of the electic field
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 informationGauss s Law Simulation Activities
Gauss s Law Simulation Activities Name: Backgound: The electic field aound a point chage is found by: = kq/ 2 If thee ae multiple chages, the net field at any point is the vecto sum of the fields. Fo a
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 informationReview. Electrostatic. Dr. Ray Kwok SJSU
Review Electostatic D. Ray Kwok SJSU Paty Balloons Coulomb s Law F e q q k 1 Coulomb foce o electical foce. (vecto) Be caeful on detemining the sign & diection. k 9 10 9 (N m / C ) k 1 4πε o k is the Coulomb
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 informationPhysics 11 Chapter 20: Electric Fields and Forces
Physics Chapte 0: Electic Fields and Foces Yesteday is not ous to ecove, but tomoow is ous to win o lose. Lyndon B. Johnson When I am anxious it is because I am living in the futue. When I am depessed
More information2. Electrostatics. Dr. Rakhesh Singh Kshetrimayum 8/11/ Electromagnetic Field Theory by R. S. Kshetrimayum
2. Electostatics D. Rakhesh Singh Kshetimayum 1 2.1 Intoduction In this chapte, we will study how to find the electostatic fields fo vaious cases? fo symmetic known chage distibution fo un-symmetic known
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 informationWelcome to Physics 272
Welcome to Physics 7 Bob Mose mose@phys.hawaii.edu http://www.phys.hawaii.edu/~mose/physics7.html To do: Sign into Masteing Physics phys-7 webpage Registe i-clickes (you i-clicke ID to you name on class-list)
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 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 informationToday s Plan. Electric Dipoles. More on Gauss Law. Comment on PDF copies of Lectures. Final iclicker roll-call
Today s Plan lectic Dipoles Moe on Gauss Law Comment on PDF copies of Lectues Final iclicke oll-call lectic Dipoles A positive (q) and negative chage (-q) sepaated by a small distance d. lectic dipole
More informationPrepared by: M. S. KumarSwamy, TGT(Maths) Page - 1 -
Pepaed by: M. S. KumaSwamy, TGT(Maths) Page - - ELECTROSTATICS MARKS WEIGHTAGE 8 maks QUICK REVISION (Impotant Concepts & Fomulas) Chage Quantization: Chage is always in the fom of an integal multiple
More information2 E. on each of these two surfaces. r r r r. Q E E ε. 2 2 Qencl encl right left 0
Ch : 4, 9,, 9,,, 4, 9,, 4, 8 4 (a) Fom the diagam in the textbook, we see that the flux outwad though the hemispheical suface is the same as the flux inwad though the cicula suface base of the hemisphee
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 informationPotential Energy. The change U in the potential energy. is defined to equal to the negative of the work. done by a conservative force
Potential negy The change U in the potential enegy is defined to equal to the negative of the wok done by a consevative foce duing the shift fom an initial to a final state. U = U U = W F c = F c d Potential
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 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 informationHopefully Helpful Hints for Gauss s Law
Hopefully Helpful Hints fo Gauss s Law As befoe, thee ae things you need to know about Gauss s Law. In no paticula ode, they ae: a.) In the context of Gauss s Law, at a diffeential level, the electic flux
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 information7.2. Coulomb s Law. The Electric Force
Coulomb s aw Recall that chaged objects attact some objects and epel othes at a distance, without making any contact with those objects Electic foce,, o the foce acting between two chaged objects, is somewhat
More informationDEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS TSOKOS LESSON 10-1 DESCRIBING FIELDS Essential Idea: Electic chages and masses each influence the space aound them and that influence can be epesented
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 informationEM-2. 1 Coulomb s law, electric field, potential field, superposition q. Electric field of a point charge (1)
EM- Coulomb s law, electic field, potential field, supeposition q ' Electic field of a point chage ( ') E( ) kq, whee k / 4 () ' Foce of q on a test chage e at position is ee( ) Electic potential O kq
More informationModule 05: Gauss s s Law a
Module 05: Gauss s s Law a 1 Gauss s Law The fist Maxwell Equation! And a vey useful computational technique to find the electic field E when the souce has enough symmety. 2 Gauss s Law The Idea The total
More informationChapter 21: Gauss s Law
Chapte : Gauss s Law Gauss s law : intoduction The total electic flux though a closed suface is equal to the total (net) electic chage inside the suface divided by ε Gauss s law is equivalent to Coulomb
More informationElectrostatics. 3) positive object: lack of electrons negative object: excess of electrons
Electostatics IB 12 1) electic chage: 2 types of electic chage: positive and negative 2) chaging by fiction: tansfe of electons fom one object to anothe 3) positive object: lack of electons negative object:
More informationF Q E v B MAGNETOSTATICS. Creation of magnetic field B. Effect of B on a moving charge. On moving charges only. Stationary and moving charges
MAGNETOSTATICS Ceation of magnetic field. Effect of on a moving chage. Take the second case: F Q v mag On moving chages only F QE v Stationay and moving chages dw F dl Analysis on F mag : mag mag Qv. vdt
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 informationYour Comments. Do we still get the 80% back on homework? It doesn't seem to be showing that. Also, this is really starting to make sense to me!
You Comments Do we still get the 8% back on homewok? It doesn't seem to be showing that. Also, this is eally stating to make sense to me! I am a little confused about the diffeences in solid conductos,
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 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 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 information! E da = 4πkQ enc, has E under the integral sign, so it is not ordinarily an
Physics 142 Electostatics 2 Page 1 Electostatics 2 Electicity is just oganized lightning. Geoge Calin A tick that sometimes woks: calculating E fom Gauss s law Gauss s law,! E da = 4πkQ enc, has E unde
More informationTarget Boards, JEE Main & Advanced (IIT), NEET Physics Gauss Law. H. O. D. Physics, Concept Bokaro Centre P. K. Bharti
Page 1 CONCPT: JB-, Nea Jitenda Cinema, City Cente, Bokao www.vidyadishti.og Gauss Law Autho: Panjal K. Bhati (IIT Khaagpu) Mb: 74884484 Taget Boads, J Main & Advanced (IIT), NT 15 Physics Gauss Law Autho:
More informationPHY2061 Enriched Physics 2 Lecture Notes. Gauss Law
PHY61 Eniched Physics Lectue Notes Law Disclaime: These lectue notes ae not meant to eplace the couse textbook. The content may be incomplete. ome topics may be unclea. These notes ae only meant to be
More informationELECTRIC FIELD. decos. 1 dq x.. Example:
ELECTRIC FIELD Example: Solution: A ing-shaped conducto with adius a caies a total positive chage Q unifomly distibuted on it. Find the electic field at a point P that lies on the axis of the ing at a
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 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 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 information(r) = 1. Example: Electric Potential Energy. Summary. Potential due to a Group of Point Charges 9/10/12 1 R V(r) + + V(r) kq. Chapter 23.
Eample: Electic Potential Enegy What is the change in electical potential enegy of a eleased electon in the atmosphee when the electostatic foce fom the nea Eath s electic field (diected downwad) causes
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 informationChapter Sixteen: Electric Charge and Electric Fields
Chapte Sixteen: Electic Chage and Electic Fields Key Tems Chage Conducto The fundamental electical popety to which the mutual attactions o epulsions between electons and potons ae attibuted. Any mateial
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 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 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 informationCharge is that property of material due to which it shows electric and magnetic phenomena.
Electostatics Electostatics deals with the study of foces, fields and potentials aise fom static chages. In othe wods it is study of chages at est. Chage Chage is that cetain something possessed by mateial
More informationChapter 13 Gravitation
Chapte 13 Gavitation In this chapte we will exploe the following topics: -Newton s law of gavitation, which descibes the attactive foce between two point masses and its application to extended objects
More informationPhysics 1502: Lecture 4 Today s Agenda
1 Physics 1502: Today s genda nnouncements: Lectues posted on: www.phys.uconn.edu/~cote/ HW assignments, solutions etc. Homewok #1: On Mastephysics today: due next Fiday Go to masteingphysics.com and egiste
More informationΦ E = E A E A = p212c22: 1
Chapte : Gauss s Law Gauss s Law is an altenative fomulation of the elation between an electic field and the souces of that field in tems of electic flux. lectic Flux Φ though an aea A ~ Numbe of Field
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 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 informationPhysics 2B Chapter 22 Notes - Magnetic Field Spring 2018
Physics B Chapte Notes - Magnetic Field Sping 018 Magnetic Field fom a Long Staight Cuent-Caying Wie In Chapte 11 we looked at Isaac Newton s Law of Gavitation, which established that a gavitational field
More informationEELE 3331 Electromagnetic I Chapter 4. Electrostatic fields. Islamic University of Gaza Electrical Engineering Department Dr.
EELE 3331 Electomagnetic I Chapte 4 Electostatic fields Islamic Univesity of Gaza Electical Engineeing Depatment D. Talal Skaik 212 1 Electic Potential The Gavitational Analogy Moving an object upwad against
More informationworking pages for Paul Richards class notes; do not copy or circulate without permission from PGR 2004/11/3 10:50
woking pages fo Paul Richads class notes; do not copy o ciculate without pemission fom PGR 2004/11/3 10:50 CHAPTER7 Solid angle, 3D integals, Gauss s Theoem, and a Delta Function We define the solid angle,
More informationModule 5: Gauss s Law 1
Module 5: Gauss s Law 1 4.1 lectic Flux... 4-4. Gauss s Law... 4-3 xample 4.1: Infinitely Long Rod of Unifom Chage Density... 4-8 xample 4.: Infinite Plane of Chage... 4-9 xample 4.3: Spheical Shell...
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 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 information7.2.1 Basic relations for Torsion of Circular Members
Section 7. 7. osion In this section, the geomety to be consideed is that of a long slende cicula ba and the load is one which twists the ba. Such poblems ae impotant in the analysis of twisting components,
More informationElectric field generated by an electric dipole
Electic field geneated by an electic dipole ( x) 2 (22-7) We will detemine the electic field E geneated by the electic dipole shown in the figue using the pinciple of supeposition. The positive chage geneates
More informationElectricity Revision ELECTRICITY REVISION KEY CONCEPTS TERMINOLOGY & DEFINITION. Physical Sciences X-Sheets
Electicity Revision KEY CONCEPTS In this session we will focus on the following: Stating and apply Coulomb s Law. Defining electical field stength and applying the deived equations. Dawing electical field
More informationFrom last times. MTE1 results. Quiz 1. GAUSS LAW for any closed surface. What is the Electric Flux? How to calculate Electric Flux?
om last times MTE1 esults Mean 75% = 90/120 Electic chages and foce Electic ield and was to calculate it Motion of chages in E-field Gauss Law Toda: Moe on Gauss law and conductos in electostatic equilibium
More informationChapter 4 Gauss s Law
Chapte 4 Gauss s Law 4.1 lectic Flux... 1 4. Gauss s Law... xample 4.1: Infinitely Long Rod of Unifom Chage Density... 7 xample 4.: Infinite Plane of Chage... 9 xample 4.3: Spheical Shell... 11 xample
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 informationPhysics 235 Chapter 5. Chapter 5 Gravitation
Chapte 5 Gavitation In this Chapte we will eview the popeties of the gavitational foce. The gavitational foce has been discussed in geat detail in you intoductoy physics couses, and we will pimaily focus
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 informationBetween any two masses, there exists a mutual attractive force.
YEAR 12 PHYSICS: GRAVITATION PAST EXAM QUESTIONS Name: QUESTION 1 (1995 EXAM) (a) State Newton s Univesal Law of Gavitation in wods Between any two masses, thee exists a mutual attactive foce. This foce
More informationTHE MAGNETIC FIELD. This handout covers: The magnetic force between two moving charges. The magnetic field, B, and magnetic field lines
EM 005 Handout 7: The Magnetic ield 1 This handout coes: THE MAGNETIC IELD The magnetic foce between two moing chages The magnetic field,, and magnetic field lines Magnetic flux and Gauss s Law fo Motion
More informationCircular Motion & Torque Test Review. The period is the amount of time it takes for an object to travel around a circular path once.
Honos Physics Fall, 2016 Cicula Motion & Toque Test Review Name: M. Leonad Instuctions: Complete the following woksheet. SHOW ALL OF YOUR WORK ON A SEPARATE SHEET OF PAPER. 1. Detemine whethe each statement
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 information20-9 ELECTRIC FIELD LINES 20-9 ELECTRIC POTENTIAL. Answers to the Conceptual Questions. Chapter 20 Electricity 241
Chapte 0 Electicity 41 0-9 ELECTRIC IELD LINES Goals Illustate the concept of electic field lines. Content The electic field can be symbolized by lines of foce thoughout space. The electic field is stonge
More informationForce between two parallel current wires and Newton s. third law
Foce between two paallel cuent wies and Newton s thid law Yannan Yang (Shanghai Jinjuan Infomation Science and Technology Co., Ltd.) Abstact: In this pape, the essence of the inteaction between two paallel
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 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 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 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 informationB. Spherical Wave Propagation
11/8/007 Spheical Wave Popagation notes 1/1 B. Spheical Wave Popagation Evey antenna launches a spheical wave, thus its powe density educes as a function of 1, whee is the distance fom the antenna. We
More informationChapter 4. Newton s Laws of Motion
Chapte 4 Newton s Laws of Motion 4.1 Foces and Inteactions A foce is a push o a pull. It is that which causes an object to acceleate. The unit of foce in the metic system is the Newton. Foce is a vecto
More informationYour Comments. Conductors and Insulators with Gauss's law please...so basically everything!
You Comments I feel like I watch a pe-lectue, and agee with eveything said, but feel like it doesn't click until lectue. Conductos and Insulatos with Gauss's law please...so basically eveything! I don't
More informationPhysics 181. Assignment 4
Physics 181 Assignment 4 Solutions 1. A sphee has within it a gavitational field given by g = g, whee g is constant and is the position vecto of the field point elative to the cente of the sphee. This
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 informationTo Feel a Force Chapter 7 Static equilibrium - torque and friction
To eel a oce Chapte 7 Chapte 7: Static fiction, toque and static equilibium A. Review of foce vectos Between the eath and a small mass, gavitational foces of equal magnitude and opposite diection act on
More informationReview of Potential Energy. The Electric Potential. Plotting Fields and Potentials. Electric Potential of a Point Charge
eview of Potential negy Potential enegy U() can be used to descibe a consevative foce. efeence point (U) can be chosen fo convenience. Wok done by F : W F d s F d (1D) Change in P.. : U U f U i W Foce
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 informationCharges, Coulomb s Law, and Electric Fields
Q&E -1 Chages, Coulomb s Law, and Electic ields Some expeimental facts: Expeimental fact 1: Electic chage comes in two types, which we call (+) and (). An atom consists of a heavy (+) chaged nucleus suounded
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 informationOSCILLATIONS AND GRAVITATION
1. SIMPLE HARMONIC MOTION Simple hamonic motion is any motion that is equivalent to a single component of unifom cicula motion. In this situation the velocity is always geatest in the middle of the motion,
More informationChapter 25. Electric Potential
Chapte 25 Electic Potential C H P T E R O U T L I N E 251 Potential Diffeence and Electic Potential 252 Potential Diffeences in a Unifom Electic Field 253 Electic Potential and Potential Enegy Due to Point
More informationIntroduction: Vectors and Integrals
Intoduction: Vectos and Integals Vectos a Vectos ae chaacteized by two paametes: length (magnitude) diection a These vectos ae the same Sum of the vectos: a b a a b b a b a b a Vectos Sum of the vectos:
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 informationChapter 7-8 Rotational Motion
Chapte 7-8 Rotational Motion What is a Rigid Body? Rotational Kinematics Angula Velocity ω and Acceleation α Unifom Rotational Motion: Kinematics Unifom Cicula Motion: Kinematics and Dynamics The Toque,
More informationPhysics 122, Fall October 2012
Today in Physics 1: electostatics eview David Blaine takes the pactical potion of his electostatics midtem (Gawke). 11 Octobe 01 Physics 1, Fall 01 1 Electostatics As you have pobably noticed, electostatics
More information[Griffiths Ch.1-3] 2008/11/18, 10:10am 12:00am, 1. (6%, 7%, 7%) Suppose the potential at the surface of a hollow hemisphere is specified, as shown
[Giffiths Ch.-] 8//8, :am :am, Useful fomulas V ˆ ˆ V V V = + θ+ φ ˆ and v = ( v ) + (sin θvθ ) + v θ sinθ φ sinθ θ sinθ φ φ. (6%, 7%, 7%) Suppose the potential at the suface of a hollow hemisphee is specified,
More informationThe Millikan Experiment: Determining the Elementary Charge
LAB EXERCISE 7.5.1 7.5 The Elementay Chage (p. 374) Can you think of a method that could be used to suggest that an elementay chage exists? Figue 1 Robet Millikan (1868 1953) m + q V b The Millikan Expeiment:
More informationElectric Forces: Coulomb s Law
Electic Foces: Coulomb s Law All the matte aound you contains chaged paticles, and it is the electic foces between these chaged paticles that detemine the stength of the mateials and the popeties of the
More informationAP Physics - Coulomb's Law
AP Physics - oulomb's Law We ve leaned that electons have a minus one chage and potons have a positive one chage. This plus and minus one business doesn t wok vey well when we go in and ty to do the old
More informationPHYS 1444 Section 501 Lecture #7
PHYS 1444 Section 51 Lectue #7 Wednesday, Feb. 8, 26 Equi-potential Lines and Sufaces Electic Potential Due to Electic Dipole E detemined fom V Electostatic Potential Enegy of a System of Chages Capacitos
More information