Charge of an Electron

Size: px
Start display at page:

Download "Charge of an Electron"

Transcription

1 Charge f an Electrn EX-999 Page 1 f 15 EQUIPMENT Charge f an Electrn 1 Millikan Oil Drp Apparatus AP Basic Digital Multimeter SE High Vltage Pwer Supply SF-9585A 1 Large Rd Base ME cm Steel Rd ME Banana Plug Crd - Red (5 Pack) SE Banana Plug Crd - Black (5 Pack) SE DataStudi Sftware CI-6870 INTRODUCTION The electric charge carried by a particle may be calculated by measuring the frce experienced by the particle in an electric field f knwn strength. Althugh it is relatively easy t prduce a knwn electric field, the frce exerted by such a field n a particle carrying nly ne r several excess electrns is very small. Fr example, a field f 1000 vlts per cm wuld exert a frce f nly 1.6 X l0-14 Newtns n a particle bearing ne excess electrn. This is a frce cmparable t the gravitatinal frce n a particle with a mass f l0 -l (ne millin millinth) gram. The success f the Millikan Oil Drp experiment depends n the ability t measure frces this small. The behavir f small charged drplets f il, having masses f nly l0-1 gram r less, is bserved in a gravitatinal and an electric field. Measuring the velcity f fall f the drp in air enables, with the use f Stkes Law, the calculatin f the mass f the drp. The bservatin f the velcity f the drp rising in an electric field then permits a calculatin f the frce n, and hence, the charge carried by the il drp. Althugh this experiment will allw ne t measure the ttal charge n a drp, it is nly thrugh an analysis f the data btained and a certain degree f experimental skill that the charge f a single electrn can be determined. By selecting drplets which rise and fall slwly, ne can be certain that the drp has a small number f excess electrns. A number f such drps shuld be bserved and their respective charges calculated. If the charges n these drps are integral multiples f a certain smallest charge, then this is a gd indicatin f the atmic nature f electricity. Hwever, since a different drplet has been used fr measuring each charge, there remains the questin as t the effect f the drp itself n the charge. This uncertainty can be eliminated by changing the charge n a single drp while the drp is under bservatin. An inizatin surce placed near the drp will accmplish this. In fact, it is pssible t change the charge n the same drp several times. If the results f measurements n the same drp then yield charges which are integral multiples f sme smallest charge, then this is prf f the atmic nature f electricity. Re-written by Geffrey R. Clarin

2 Charge f an Electrn EX-999 Page f 15 THEORY An analysis f the frces acting n an il drplet will yield the equatin fr the determinatin f the charge carried by the drplet. Finding the Relatinship between Velcity f Oil Drp and the Electric Field Figure 1 shws the frces acting n the drp when it is falling in air and has reached its terminal velcity. (Terminal velcity is reached in a few millisecnds fr the drplets used in this experiment.) In Figure 1, Ff represents the frce f frictin and Fg represents the frce due t gravity. Where, F f Ff = -k Fg = -mg is the terminal velcity f fall (its value is negative and cnstant), k is the cefficient f frictin between the air and the drp, m is the mass f the drp, and g is the acceleratin f gravity. Ff + Fg = 0 Figure 1 F g -k + -mg = 0 -k = mg k mg (Equatin 1) Figure shws the frces acting n the drp when it is rising under the influence f an electric field. F E Ff = -k Fg = -mg FE = qe E is the electric field, q is the charge carried by the drp, and is the velcity. Ff + Fg + FE = 0 F g F f -k + -mg + qe = 0 Figure qe = k + mg cmbining with Equatin 1 abve yields qe mg mg rearranging gives Re-written by Geffrey R. Clarin

3 Charge f an Electrn EX-999 Page f 15 mg qe mg slving fr prduces q E (Equatin ) mg Finding the Mass T find m frm equatin, ne uses the expressin fr the vlume f a sphere: 4 m a (Equatin ) where a is the radius f the drplet, and is the density f the il. T calculate a, ne emplys Stkes Law, relating the radius f a spherical bdy t its velcity f fall in a viscus medium (with the cefficient f viscsity,. a 9 (Equatin 4) g Stkes Law, hwever, becmes incrrect when the velcity f fall f the drplets is less than 0.1 cm/s. (Drplets having this and smaller velcities have radii, n the rder f micrns, cmparable t the mean free path f air mlecules, a cnditin which vilates ne f the assumptins made in deriving Stkes Law.) Since the velcities f the drplets used in this experiment will be in the range f 0.01 t cm/s, the viscsity must be multiplied by a crrectin factr. The resulting effective viscsity is: n eff 1 1 (Equatin 5) b pa where b is a cnstant, p is the atmspheric pressure, and a is the radius f the drp as calculated by the uncrrected frm f Stkes Law, equatin ( 4 ). Substituting eff in equatin (5) int equatin (4), and then slving fr the radius a gives: a b p 9 g b p (Equatin 6) Re-written by Geffrey R. Clarin

4 Charge f an Electrn EX-999 Page 4 f 15 Finding the Charge Observe equatin : q E (Equatin ) mg A plt f versus E yields a slpe (s) f: s q (Equatin 7) mg Rearranging fr the value f the charge (q) gives: q smg (Equatin 8) Cmbining equatin 8 with equatins and 6 prduces: q 4 gs b p 9 g b p (Equatin 9) q = charge carried by the drplet g = acceleratin due t gravity = 9.80 m/s s = slpe f versus E graph as measured in the lab by equatin = density f il = 886 kg/m b = cnstant = 8. X 10 - Pa*m p = barmetric pressure = 101. X 10 Pa = viscsity f dry air (see graph in appendix A) = terminal velcity f fall (its value is negative and cnstant) as calculated as the vertical intercept f equatin r as measured directly thrugh the Millikan Oil Drp Apparatus. Re-written by Geffrey R. Clarin

5 Charge f an Electrn EX-999 Page 5 f 15 SETUP Adjusting the height f the platfrm and leveling it 1. Place the apparatus n a level, slid table with the viewing scpe at a height which permits the experimenter t sit erect while bserving the drps. If necessary t achieve the prper height, munt the apparatus n tw supprt rds (ME- 876) n the large rd stand (ME-875) (Figure 1).. Using attached bubble level as a reference, level the apparatus with the leveling screws n the rd stand r the leveling feet f the platfrm, as is apprpriate fr yur setup. Figure 1a: Equipment Set-Up Adjusting the envirnment f the experiment rm 1. Make the rm as dark as pssible, while allwing fr adequate light t read the multimeter and stpwatch, and t recrd data.. Insure that the backgrund behind the apparatus is dark.. Select a lcatin that is free f drafts and vibratins. Figure 1b: Equipment Set-Up Re-written by Geffrey R. Clarin

6 Charge f an Electrn EX-999 Page 6 f 15 Measuring Plate Separatin Disassemble the drplet viewing chamber by lifting the husing straight up and then remving the upper capacitr plate and spacer plate. (See Figure.) Nte: The thrium surce and the electrical cnnectin n the lwer capacitr plate fit int apprpriately sized hles n the plastic spacer. Measure the thickness f the plastic spacer (which is equal t the plate separatin distance) with a micrmeter. Be sure that yu are nt including the raised rim f the spacer in yur measurement. The accuracy f this measurement is imprtant t the degree f accuracy f yur experimental results. Recrd the measurement. Figure : Disassembly f Viewing Chamber Aligning the Optical System Fcusing the viewing scpe 1. Reassemble the plastic spacer and the tp capacitr plate nt the lwer capacitr plate. Replace the husing, aligning the hles in its base with the husing pins. (See Figure ) FiFigure : Insertin f the fcusing wire int the tp capacitr plate. Unscrew the fcusing wire frm its strage place n the platfrm and carefully insert it int the hle in the center f the tp capacitr plate (Figure ).. Cnnect the 1 V DC transfrmer t the lamp pwer jack in the halgen lamp husing and plug it int a wall scket. Check t be sure that the transfrmer is the crrect vltage: 100, 117, 0, r 40 V). 4. Bring the reticle int fcus by turning the reticle fcusing ring. 5. View the fcusing wire thrugh the viewing scpe, and bring the wire int sharp fcus by turning the drplet fcusing ring. Nte: Viewing will be easier fr experimenters wh wear glasses if the viewing scpe is fcused withut using the glasses. Fcusing the halgen filament 1. Adjust the hrizntal filament adjustment knb. The light is best fcused when the right edge f the wire is brightest (in highest cntrast cmpared t the center f the wire). Re-written by Geffrey R. Clarin

7 Charge f an Electrn EX-999 Page 7 f 15. While viewing the fcusing wire thrugh the viewing scpe, turn the vertical filament adjustment knb until the light is brightest n the wire in the area f the reticle.. Return the fcusing wire t its strage lcatin n the platfrm. PROCEDURE Adjusting and Measuring thevltage 1. Cnnect the high vltage DC pwer supply t the plate vltage cnnectrs using banana plug patch crds and adjust t deliver abut 500 V.. Use the digital multimeter t measure the vltage delivered t the capacitr plates. Measure the vltage at the plate vltage cnnectrs, nt acrss the capacitr plates. There is a 10 mega-hm resistr in series with each plate t prevent electric shck. Determining the Temperature f the Drplet Viewing Chamber 1. Cnnect the multimeter t the thermistr cnnectrs and measure the resistance f the thermistr. Refer t the Thermistr Resistance Table lcated n the platfrm t find the temperature f the lwer brass plate. The measured temperature shuld crrespnd t the temperature within the drplet viewing chamber. Althugh the dichric windw reflects much f the heat generated by the halgen bulb, the temperature inside the drplet viewing chamber may rise after prlnged expsure t the light. Therefre, the temperature inside the drplet viewing chamber shuld be determined peridically (abut every 15 minutes). Experimental Prcedure 1. Cmplete the reassembly f the drplet viewing chamber by placing the drplet hle cver n the tp capacitr plate and then placing the lid n the husing. (See Figure.) Nte: The drplet hle cver prevents additinal drplets frm entering the chamber nce the experiment has started.. Measure and recrd the plate vltage and the thermistr resistance (temperature). Intrducing the drplets int the chamber 1. Put nn-vlatile il f knwn density int the atmizer (fr example, Squibb #5597 Mineral Oil, density: 886 kg/m).. Prepare the atmizer by rapidly squeezing the bulb until il is spraying ut. Insure that the tip f the atmizer is pinted dwn (90 t the shaft; see Figure 4). Figure 4: Crrect Psitin f the Atmizer Tip Re-written by Geffrey R. Clarin

8 Charge f an Electrn EX-999 Page 8 f 15. Mve the inizatin surce lever t the Spray Drplet Psitin t allw air t escape frm the chamber during the intrductin f drplets int the chamber. 4. Place the nzzle f the atmizer int the hle n the lid f the drplet viewing chamber. 5. While bserving thrugh viewing scpe, squeeze the atmizer bulb with ne quick squeeze. Then squeeze it slwly t frce the drplets thrugh the hle in the drplet hle cver, thrugh the drplet entry hle in the tp capacitr plate, and int the space between the tw capacitr plates. 6. When yu see a shwer f drps thrugh the viewing scpe, mve the inizatin surce lever t the OFF psitin. Nte: If the entire viewing area becmes filled with drps, s that n ne drp can be selected, either wait three r fur minutes until the drps settle ut f view, r disassemble the drplet viewing chamber (after turning ff the DC pwer supply), thus remving the drps. When the amunt f il n the parts in the drplet viewing chamber becmes excessive, clean them, as detailed in the Maintenance sectin. Remember: the less il that is sprayed int the chamber, the fewer times the chamber must be cleaned. Nte: The exact technique f intrducing drps will need t be develped by the experimenter. The bject is t get a small number f drps, nt a large, bright clud frm which a single drp can be chsen. It is imprtant t remember that the drps are being frced int the viewing area by the pressure f the atmizer. Therefre, excessive use f the atmizer can cause t many drps t be frced int the viewing area and, mre imprtant, int the area between the chamber wall and the fcal pint f the viewing scpe. Drps in this area prevent bservatin f drps at the fcal pint f the scpe. Selectin f the Drp 1. Frm the drps in view, select a drplet that bth falls slwly (abut mm/s) when the plate charging switch is in the Plates Grunded psitin and can be driven up and dwn by turning n the vltage. Chse a drplet that is nt t bright. Chse a drplet that des nt react t suddenly t the change in plarity. Nte: If t many drplets are in view, yu can clear ut many f them by cnnecting pwer t the capacitr plates fr several secnds. Nte: If yu find that t few drplets have net charges t permit the selectin f an apprpriately sized and charged drp, mve the inizatin lever t the ON psitin fr abut five secnds.. When yu find an apprpriately sized and charged il drplet, fine tune the fcus f the viewing scpe. Re-written by Geffrey R. Clarin

9 Charge f an Electrn EX-999 Page 9 f 15 Nte: The il drplet is in best fcus fr accurate data cllectin when it appears as a pinpint f bright light. Cllecting Data It is suggested that tw individuals cllect data. One persn bserves the drplet while changing the plate vltage in ne hand and manipulating a stp watch with the ther hand. The ther persn reads the stp watch, changes the vltage, and recrds the data. 1. Change the plate vltage s that the drplet is "driven" t the tp f the viewing area.. Set the plate vltage t neutral and time the drplet as it falls a distance f 1.0 mm r majr divisins. D this several times t find an average fr the terminal velcity,.. Adjust the vltage t 500 V. Drive the same drplet t the tp f the viewing area. Set the plate vltage s that the drplet is driven dwnward. Recrd the vltage with the plarity required t drive the drplet dwnward. (Either -500V r +500 V) 4. Find the time it takes the drplet t mve dwnward a distance f 1.0 mm r majr divisins. Recrd this value in the data table (include a negative sign fr the dwnward mtin). 5. Change the plate vltage s that the drplet is driven upward. Recrd the vltage and plarity required t drive the drplet upward. 6. Find the time it takes the drplet t mve upward a distance f 1.0 mm r majr divisins. Recrd this value in the data table. 7. Repeat steps -6 with vltage values f 400 V, 00 V, 00 V, and 100V. Data Table Vltage (V) T (s) Re-written by Geffrey R. Clarin

10 Charge f an Electrn EX-999 Page 10 f 15 ANALYSIS 1. Calculate the value f the terminal velcity,.. Open the DataStudi file "Charge f an Electrn.ds.". Enter yur values f vltage and change in time frm the Data Table abve int DataStudi. 4. Select the Fit Buttn. Chse the Linear Fit. 5. Recrd the values fr the Slpe and the Vertical Intercept. 6. Calculate the value f the radius using Equatin 6. a b p 9 g b p where a = radius b = cnstant = 8. X 10 - Pa*m p = barmetric pressure = 101. X 10 Pa = viscsity f dry air (see graph in appendix A) = terminal velcity f fall (its value is negative and cnstant) as calculated as the vertical intercept f the graph r as measured directly thrugh the Millikan Oil Drp Apparatus. g = acceleratin due t gravity = 9.80 m/s = density f il = 886 kg/m 7. Calculate the value f the mass f the drplet using Equatin : m 4 a where m = mass f the drplet a = radius f the drplet = density f il = 886 kg/m 8. Calculate the value f the charge f an electrn using Equatin 8: q smg where q = charge f an electrn s = slpe f versus E graph as measured in the lab by equatin m = mass f the drplet g = acceleratin due t gravity = 9.80 m/s = terminal velcity f fall (its value is negative and cnstant) as calculated as the vertical intercept f equatin r as measured directly thrugh the Millikan Oil Drp Apparatus. QUESTIONS 1. Cmpare yur value t the accepted value f the charge f an electrn: 1.60 X C Re-written by Geffrey R. Clarin

11 Charge f an Electrn EX-999 Page 11 f 15 Re-written by Geffrey R. Clarin

12 Charge f an Electrn EX-999 Page 1 f 15 Appendix A Re-written by Geffrey R. Clarin

13 Charge f an Electrn EX-999 Page 1 f 15 Appendix B Re-written by Geffrey R. Clarin

14 Charge f an Electrn EX-999 Page 14 f 15 Appendix C Sample Data and Analysis Finding the value f the Viscsity using the Thermistr Resistance and Temperature f the Air Resistance f the Thermistr =.07 M (measured directly using a multimeter) Temperature f the Air =. 5 C (using the Thermistr Resistance Table in Appendix B) = X 10-5 N*s/m = viscsity f dry air (see graph in appendix A) Data and Graph Terminal velcity, (measured directly, NOT using the vertical intercept) m x10 m / s s Calculatin f the Radius f the Drplet a b p 9 g b p a 8. x10 Pa m (101. x10 Pa ) 9 (1.841 x10 5 (9.81 N s )( 1.04 x10 m s m )( 886 kg m ) 5 m ) s 8. x10 (101. x10 Pa m Pa ) a =.76 x 10-7 m Re-written by Geffrey R. Clarin

15 Charge f an Electrn EX-999 Page 15 f 15 Calculating the Mass m 4 a 4 7 m (.76 x10 m = 7.80 x kg m ) (886 kg / m ) Calculating the Charge f an Electrn q smg q.01 x10 19 m s 7.80 x10 V m 1.04 x10 5 m / s 17 kg 9.81 m s q = x C Re-written by Geffrey R. Clarin

Charge of an Electron

Charge of an Electron Charge f an Electrn EX-9929 Page 1 f 12 EQUIPMENT Charge f an Electrn 1 Millikan Oil Drp Apparatus AP-8210 1 Basic Digital Multimeter SE-9786 1 High Vltage Pwer Supply SF-9585A 1 Large Rd Base ME-8735

More information

BASIC DIRECT-CURRENT MEASUREMENTS

BASIC DIRECT-CURRENT MEASUREMENTS Brwn University Physics 0040 Intrductin BASIC DIRECT-CURRENT MEASUREMENTS The measurements described here illustrate the peratin f resistrs and capacitrs in electric circuits, and the use f sme standard

More information

Edexcel GCSE Physics

Edexcel GCSE Physics Edexcel GCSE Physics Tpic 10: Electricity and circuits Ntes (Cntent in bld is fr Higher Tier nly) www.pmt.educatin The Structure f the Atm Psitively charged nucleus surrunded by negatively charged electrns

More information

Plan o o. I(t) Divide problem into sub-problems Modify schematic and coordinate system (if needed) Write general equations

Plan o o. I(t) Divide problem into sub-problems Modify schematic and coordinate system (if needed) Write general equations STAPLE Physics 201 Name Final Exam May 14, 2013 This is a clsed bk examinatin but during the exam yu may refer t a 5 x7 nte card with wrds f wisdm yu have written n it. There is extra scratch paper available.

More information

CHAPTER 8b Static Equilibrium Units

CHAPTER 8b Static Equilibrium Units CHAPTER 8b Static Equilibrium Units The Cnditins fr Equilibrium Slving Statics Prblems Stability and Balance Elasticity; Stress and Strain The Cnditins fr Equilibrium An bject with frces acting n it, but

More information

Solution to HW14 Fall-2002

Solution to HW14 Fall-2002 Slutin t HW14 Fall-2002 CJ5 10.CQ.003. REASONING AND SOLUTION Figures 10.11 and 10.14 shw the velcity and the acceleratin, respectively, the shadw a ball that underges unirm circular mtin. The shadw underges

More information

Phys101 Final Code: 1 Term: 132 Wednesday, May 21, 2014 Page: 1

Phys101 Final Code: 1 Term: 132 Wednesday, May 21, 2014 Page: 1 Phys101 Final Cde: 1 Term: 1 Wednesday, May 1, 014 Page: 1 Q1. A car accelerates at.0 m/s alng a straight rad. It passes tw marks that are 0 m apart at times t = 4.0 s and t = 5.0 s. Find the car s velcity

More information

PHYSICS LAB Experiment 10 Fall 2004 ROTATIONAL DYNAMICS VARIABLE I, FIXED

PHYSICS LAB Experiment 10 Fall 2004 ROTATIONAL DYNAMICS VARIABLE I, FIXED ROTATIONAL DYNAMICS VARIABLE I, FIXED In this experiment we will test Newtn s Secnd Law r rtatinal mtin and examine hw the mment inertia depends n the prperties a rtating bject. THE THEORY There is a crrespndence

More information

Physics 2010 Motion with Constant Acceleration Experiment 1

Physics 2010 Motion with Constant Acceleration Experiment 1 . Physics 00 Mtin with Cnstant Acceleratin Experiment In this lab, we will study the mtin f a glider as it accelerates dwnhill n a tilted air track. The glider is supprted ver the air track by a cushin

More information

making triangle (ie same reference angle) ). This is a standard form that will allow us all to have the X= y=

making triangle (ie same reference angle) ). This is a standard form that will allow us all to have the X= y= Intrductin t Vectrs I 21 Intrductin t Vectrs I 22 I. Determine the hrizntal and vertical cmpnents f the resultant vectr by cunting n the grid. X= y= J. Draw a mangle with hrizntal and vertical cmpnents

More information

Electric Current and Resistance

Electric Current and Resistance Electric Current and Resistance Electric Current Electric current is the rate f flw f charge thrugh sme regin f space The SI unit f current is the ampere (A) 1 A = 1 C / s The symbl fr electric current

More information

UNIT 6 DETERMINATION OF FLASH AND FIRE POINT OF A LUBRICATING OIL BY OPEN CUP AND CLOSED CUP METHODS

UNIT 6 DETERMINATION OF FLASH AND FIRE POINT OF A LUBRICATING OIL BY OPEN CUP AND CLOSED CUP METHODS UNIT 6 DETERMINATION OF FLASH AND FIRE POINT OF A LUBRICATING OIL BY OPEN CUP AND CLOSED CUP METHODS Determinatin f Flash and Fire Pint f a Cup and Clsed Cup Structure 6. Intrductin Objectives 6. Experiment

More information

Relationships Between Frequency, Capacitance, Inductance and Reactance.

Relationships Between Frequency, Capacitance, Inductance and Reactance. P Physics Relatinships between f,, and. Relatinships Between Frequency, apacitance, nductance and Reactance. Purpse: T experimentally verify the relatinships between f, and. The data cllected will lead

More information

Synchronous Motor V-Curves

Synchronous Motor V-Curves Synchrnus Mtr V-Curves 1 Synchrnus Mtr V-Curves Intrductin Synchrnus mtrs are used in applicatins such as textile mills where cnstant speed peratin is critical. Mst small synchrnus mtrs cntain squirrel

More information

1. Transformer A transformer is used to obtain the approximate output voltage of the power supply. The output of the transformer is still AC.

1. Transformer A transformer is used to obtain the approximate output voltage of the power supply. The output of the transformer is still AC. PHYSIS 536 Experiment 4: D Pwer Supply I. Intrductin The prcess f changing A t D is investigated in this experiment. An integrated circuit regulatr makes it easy t cnstruct a high-perfrmance vltage surce

More information

Information for Physics 1201 Midterm I Wednesday, February 20

Information for Physics 1201 Midterm I Wednesday, February 20 My lecture slides are psted at http://www.physics.hi-state.edu/~humanic/ Infrmatin fr Physics 1201 Midterm I Wednesday, February 20 1) Frmat: 10 multiple chice questins (each wrth 5 pints) and tw shw-wrk

More information

EXAM #1 PHYSICAL SCIENCE 103 Spring, 2016

EXAM #1 PHYSICAL SCIENCE 103 Spring, 2016 OBJECTIVES 1. Ft Pressure EXAM #1 PHYSICAL SCIENCE 103 Spring, 2016 Determine the surface area f an bject. Given the weight and surface area, calculate the pressure. 2. Measuring Vlume & Mass Prvided a

More information

ES201 - Examination 2 Winter Adams and Richards NAME BOX NUMBER

ES201 - Examination 2 Winter Adams and Richards NAME BOX NUMBER ES201 - Examinatin 2 Winter 2003-2004 Adams and Richards NAME BOX NUMBER Please Circle One : Richards (Perid 4) ES201-01 Adams (Perid 4) ES201-02 Adams (Perid 6) ES201-03 Prblem 1 ( 12 ) Prblem 2 ( 24

More information

Flipping Physics Lecture Notes: Simple Harmonic Motion Introduction via a Horizontal Mass-Spring System

Flipping Physics Lecture Notes: Simple Harmonic Motion Introduction via a Horizontal Mass-Spring System Flipping Physics Lecture Ntes: Simple Harmnic Mtin Intrductin via a Hrizntal Mass-Spring System A Hrizntal Mass-Spring System is where a mass is attached t a spring, riented hrizntally, and then placed

More information

( ) kt. Solution. From kinetic theory (visualized in Figure 1Q9-1), 1 2 rms = 2. = 1368 m/s

( ) kt. Solution. From kinetic theory (visualized in Figure 1Q9-1), 1 2 rms = 2. = 1368 m/s .9 Kinetic Mlecular Thery Calculate the effective (rms) speeds f the He and Ne atms in the He-Ne gas laser tube at rm temperature (300 K). Slutin T find the rt mean square velcity (v rms ) f He atms at

More information

Flipping Physics Lecture Notes: Simple Harmonic Motion Introduction via a Horizontal Mass-Spring System

Flipping Physics Lecture Notes: Simple Harmonic Motion Introduction via a Horizontal Mass-Spring System Flipping Physics Lecture Ntes: Simple Harmnic Mtin Intrductin via a Hrizntal Mass-Spring System A Hrizntal Mass-Spring System is where a mass is attached t a spring, riented hrizntally, and then placed

More information

Three charges, all with a charge of 10 C are situated as shown (each grid line is separated by 1 meter).

Three charges, all with a charge of 10 C are situated as shown (each grid line is separated by 1 meter). Three charges, all with a charge f 0 are situated as shwn (each grid line is separated by meter). ) What is the net wrk needed t assemble this charge distributin? a) +0.5 J b) +0.8 J c) 0 J d) -0.8 J e)

More information

Fall 2013 Physics 172 Recitation 3 Momentum and Springs

Fall 2013 Physics 172 Recitation 3 Momentum and Springs Fall 03 Physics 7 Recitatin 3 Mmentum and Springs Purpse: The purpse f this recitatin is t give yu experience wrking with mmentum and the mmentum update frmula. Readings: Chapter.3-.5 Learning Objectives:.3.

More information

Differentiation Applications 1: Related Rates

Differentiation Applications 1: Related Rates Differentiatin Applicatins 1: Related Rates 151 Differentiatin Applicatins 1: Related Rates Mdel 1: Sliding Ladder 10 ladder y 10 ladder 10 ladder A 10 ft ladder is leaning against a wall when the bttm

More information

Lab #3: Pendulum Period and Proportionalities

Lab #3: Pendulum Period and Proportionalities Physics 144 Chwdary Hw Things Wrk Spring 2006 Name: Partners Name(s): Intrductin Lab #3: Pendulum Perid and Prprtinalities Smetimes, it is useful t knw the dependence f ne quantity n anther, like hw the

More information

Examiner: Dr. Mohamed Elsharnoby Time: 180 min. Attempt all the following questions Solve the following five questions, and assume any missing data

Examiner: Dr. Mohamed Elsharnoby Time: 180 min. Attempt all the following questions Solve the following five questions, and assume any missing data Benha University Cllege f Engineering at Banha Department f Mechanical Eng. First Year Mechanical Subject : Fluid Mechanics M111 Date:4/5/016 Questins Fr Final Crrective Examinatin Examiner: Dr. Mhamed

More information

Chapter 16. Capacitance. Capacitance, cont. Parallel-Plate Capacitor, Example 1/20/2011. Electric Energy and Capacitance

Chapter 16. Capacitance. Capacitance, cont. Parallel-Plate Capacitor, Example 1/20/2011. Electric Energy and Capacitance summary C = ε A / d = πε L / ln( b / a ) ab C = 4πε 4πε a b a b >> a Chapter 16 Electric Energy and Capacitance Capacitance Q=CV Parallel plates, caxial cables, Earth Series and parallel 1 1 1 = + +..

More information

NUMBERS, MATHEMATICS AND EQUATIONS

NUMBERS, MATHEMATICS AND EQUATIONS AUSTRALIAN CURRICULUM PHYSICS GETTING STARTED WITH PHYSICS NUMBERS, MATHEMATICS AND EQUATIONS An integral part t the understanding f ur physical wrld is the use f mathematical mdels which can be used t

More information

SPH3U1 Lesson 06 Kinematics

SPH3U1 Lesson 06 Kinematics PROJECTILE MOTION LEARNING GOALS Students will: Describe the mtin f an bject thrwn at arbitrary angles thrugh the air. Describe the hrizntal and vertical mtins f a prjectile. Slve prjectile mtin prblems.

More information

Interference is when two (or more) sets of waves meet and combine to produce a new pattern.

Interference is when two (or more) sets of waves meet and combine to produce a new pattern. Interference Interference is when tw (r mre) sets f waves meet and cmbine t prduce a new pattern. This pattern can vary depending n the riginal wave directin, wavelength, amplitude, etc. The tw mst extreme

More information

Lab 11 LRC Circuits, Damped Forced Harmonic Motion

Lab 11 LRC Circuits, Damped Forced Harmonic Motion Physics 6 ab ab 11 ircuits, Damped Frced Harmnic Mtin What Yu Need T Knw: The Physics OK this is basically a recap f what yu ve dne s far with circuits and circuits. Nw we get t put everything tgether

More information

How do scientists measure trees? What is DBH?

How do scientists measure trees? What is DBH? Hw d scientists measure trees? What is DBH? Purpse Students develp an understanding f tree size and hw scientists measure trees. Students bserve and measure tree ckies and explre the relatinship between

More information

Sections 15.1 to 15.12, 16.1 and 16.2 of the textbook (Robbins-Miller) cover the materials required for this topic.

Sections 15.1 to 15.12, 16.1 and 16.2 of the textbook (Robbins-Miller) cover the materials required for this topic. Tpic : AC Fundamentals, Sinusidal Wavefrm, and Phasrs Sectins 5. t 5., 6. and 6. f the textbk (Rbbins-Miller) cver the materials required fr this tpic.. Wavefrms in electrical systems are current r vltage

More information

Finding the Earth s magnetic field

Finding the Earth s magnetic field Labratry #6 Name: Phys 1402 - Dr. Cristian Bahrim Finding the Earth s magnetic field The thery accepted tday fr the rigin f the Earth s magnetic field is based n the mtin f the plasma (a miture f electrns

More information

Q1. A string of length L is fixed at both ends. Which one of the following is NOT a possible wavelength for standing waves on this string?

Q1. A string of length L is fixed at both ends. Which one of the following is NOT a possible wavelength for standing waves on this string? Term: 111 Thursday, January 05, 2012 Page: 1 Q1. A string f length L is fixed at bth ends. Which ne f the fllwing is NOT a pssible wavelength fr standing waves n this string? Q2. λ n = 2L n = A) 4L B)

More information

PHYSICS Unit 3 Trial Examination

PHYSICS Unit 3 Trial Examination STAV Publishing Pty Ltd 005 PHYSICS Unit 3 Trial Examinatin SOLUTIONS BOOK Published by STAV Publishing Pty Ltd. STAV Huse, 5 Munr Street, Cburg VIC 3058 Australia. Phne: 6 + 3 9385 3999 Fax: 6 + 3 9386

More information

MODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b

MODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b . REVIEW OF SOME BASIC ALGEBRA MODULE () Slving Equatins Yu shuld be able t slve fr x: a + b = c a d + e x + c and get x = e(ba +) b(c a) d(ba +) c Cmmn mistakes and strategies:. a b + c a b + a c, but

More information

Q1. In figure 1, Q = 60 µc, q = 20 µc, a = 3.0 m, and b = 4.0 m. Calculate the total electric force on q due to the other 2 charges.

Q1. In figure 1, Q = 60 µc, q = 20 µc, a = 3.0 m, and b = 4.0 m. Calculate the total electric force on q due to the other 2 charges. Phys10 Secnd Majr-08 Zer Versin Crdinatr: Dr. I. M. Nasser Saturday, May 3, 009 Page: 1 Q1. In figure 1, Q = 60 µc, q = 0 µc, a = 3.0 m, and b = 4.0 m. Calculate the ttal electric frce n q due t the ther

More information

General Chemistry II, Unit I: Study Guide (part I)

General Chemistry II, Unit I: Study Guide (part I) 1 General Chemistry II, Unit I: Study Guide (part I) CDS Chapter 14: Physical Prperties f Gases Observatin 1: Pressure- Vlume Measurements n Gases The spring f air is measured as pressure, defined as the

More information

14. Which shows the direction of the centripetal force acting on a mass spun in a vertical circle?

14. Which shows the direction of the centripetal force acting on a mass spun in a vertical circle? Physics 0 Public Exam Questins Unit 1: Circular Mtin NAME: August 009---------------------------------------------------------------------------------------------------------------------- 1. Which describes

More information

**DO NOT ONLY RELY ON THIS STUDY GUIDE!!!**

**DO NOT ONLY RELY ON THIS STUDY GUIDE!!!** Tpics lists: UV-Vis Absrbance Spectrscpy Lab & ChemActivity 3-6 (nly thrugh 4) I. UV-Vis Absrbance Spectrscpy Lab Beer s law Relates cncentratin f a chemical species in a slutin and the absrbance f that

More information

14. Which shows the direction of the centripetal force acting on a mass spun in a vertical circle?

14. Which shows the direction of the centripetal force acting on a mass spun in a vertical circle? Physics 3204 Public Exam Questins Unit 1: Circular Mtin NAME: August 2009---------------------------------------------------------------------------------------------------------------------- 12. Which

More information

Hess Law - Enthalpy of Formation of Solid NH 4 Cl

Hess Law - Enthalpy of Formation of Solid NH 4 Cl Hess Law - Enthalpy f Frmatin f Slid NH 4 l NAME: OURSE: PERIOD: Prelab 1. Write and balance net inic equatins fr Reactin 2 and Reactin 3. Reactin 2: Reactin 3: 2. Shw that the alebraic sum f the balanced

More information

Hubble s Law PHYS 1301

Hubble s Law PHYS 1301 1 PHYS 1301 Hubble s Law Why: The lab will verify Hubble s law fr the expansin f the universe which is ne f the imprtant cnsequences f general relativity. What: Frm measurements f the angular size and

More information

PHYS 314 HOMEWORK #3

PHYS 314 HOMEWORK #3 PHYS 34 HOMEWORK #3 Due : 8 Feb. 07. A unifrm chain f mass M, lenth L and density λ (measured in k/m) hans s that its bttm link is just tuchin a scale. The chain is drpped frm rest nt the scale. What des

More information

Study Guide Physics Pre-Comp 2013

Study Guide Physics Pre-Comp 2013 I. Scientific Measurement Metric Units S.I. English Length Meter (m) Feet (ft.) Mass Kilgram (kg) Pund (lb.) Weight Newtn (N) Ounce (z.) r pund (lb.) Time Secnds (s) Secnds (s) Vlume Liter (L) Galln (gal)

More information

Materials Engineering 272-C Fall 2001, Lecture 7 & 8 Fundamentals of Diffusion

Materials Engineering 272-C Fall 2001, Lecture 7 & 8 Fundamentals of Diffusion Materials Engineering 272-C Fall 2001, Lecture 7 & 8 Fundamentals f Diffusin Diffusin: Transprt in a slid, liquid, r gas driven by a cncentratin gradient (r, in the case f mass transprt, a chemical ptential

More information

CHAPTER 6 WORK AND ENERGY

CHAPTER 6 WORK AND ENERGY CHAPTER 6 WORK AND ENERGY CONCEPTUAL QUESTIONS 16. REASONING AND SOLUTION A trapeze artist, starting rm rest, swings dwnward n the bar, lets g at the bttm the swing, and alls reely t the net. An assistant,

More information

Lab 1 The Scientific Method

Lab 1 The Scientific Method INTRODUCTION The fllwing labratry exercise is designed t give yu, the student, an pprtunity t explre unknwn systems, r universes, and hypthesize pssible rules which may gvern the behavir within them. Scientific

More information

Study Group Report: Plate-fin Heat Exchangers: AEA Technology

Study Group Report: Plate-fin Heat Exchangers: AEA Technology Study Grup Reprt: Plate-fin Heat Exchangers: AEA Technlgy The prblem under study cncerned the apparent discrepancy between a series f experiments using a plate fin heat exchanger and the classical thery

More information

AP Physics Kinematic Wrap Up

AP Physics Kinematic Wrap Up AP Physics Kinematic Wrap Up S what d yu need t knw abut this mtin in tw-dimensin stuff t get a gd scre n the ld AP Physics Test? First ff, here are the equatins that yu ll have t wrk with: v v at x x

More information

Physics 2B Chapter 23 Notes - Faraday s Law & Inductors Spring 2018

Physics 2B Chapter 23 Notes - Faraday s Law & Inductors Spring 2018 Michael Faraday lived in the Lndn area frm 1791 t 1867. He was 29 years ld when Hand Oersted, in 1820, accidentally discvered that electric current creates magnetic field. Thrugh empirical bservatin and

More information

205MPa and a modulus of elasticity E 207 GPa. The critical load 75kN. Gravity is vertically downward and the weight of link 3 is W3

205MPa and a modulus of elasticity E 207 GPa. The critical load 75kN. Gravity is vertically downward and the weight of link 3 is W3 ME 5 - Machine Design I Fall Semester 06 Name f Student: Lab Sectin Number: Final Exam. Open bk clsed ntes. Friday, December 6th, 06 ur name lab sectin number must be included in the spaces prvided at

More information

EXAM #1 PHYSICAL SCIENCE 103 FALLF, 2017

EXAM #1 PHYSICAL SCIENCE 103 FALLF, 2017 OBJECTIVES 1. Ft Pressure EXAM #1 PHYSICAL SCIENCE 103 FALLF, 2017 Determine the surface area f an bject. Given the weight and surface area, calculate the pressure. 2. Measuring Vlume & Mass Prvided a

More information

CHAPTER 4 Dynamics: Newton s Laws of Motion /newtlaws/newtltoc.html

CHAPTER 4 Dynamics: Newton s Laws of Motion  /newtlaws/newtltoc.html CHAPTER 4 Dynamics: Newtn s Laws f Mtin http://www.physicsclassrm.cm/class /newtlaws/newtltc.html Frce Newtn s First Law f Mtin Mass Newtn s Secnd Law f Mtin Newtn s Third Law f Mtin Weight the Frce f

More information

Surface and Contact Stress

Surface and Contact Stress Surface and Cntact Stress The cncept f the frce is fundamental t mechanics and many imprtant prblems can be cast in terms f frces nly, fr example the prblems cnsidered in Chapter. Hwever, mre sphisticated

More information

1/2 and e0 e s ' 1+ imm w 4 M s 3 πρ0 r 3 m. n 0 ktr. .Also,since n 0 ktr 1,wehave. 4 3 M sπρ 0 r 3. ktr. 3 M sπρ 0

1/2 and e0 e s ' 1+ imm w 4 M s 3 πρ0 r 3 m. n 0 ktr. .Also,since n 0 ktr 1,wehave. 4 3 M sπρ 0 r 3. ktr. 3 M sπρ 0 Chapter 6 6.1 Shw that fr a very weak slutin drplet (m 4 3 πr3 ρ 0 M s ), (6.8) can be written as e 0 ' 1+ a r b r 3 where a σ 0 /n 0 kt and b imm w / 4 3 M sπρ 0. What is yur interpretatin f thecnd and

More information

Q x = cos 1 30 = 53.1 South

Q x = cos 1 30 = 53.1 South Crdinatr: Dr. G. Khattak Thursday, August 0, 01 Page 1 Q1. A particle mves in ne dimensin such that its psitin x(t) as a functin f time t is given by x(t) =.0 + 7 t t, where t is in secnds and x(t) is

More information

https://goo.gl/eaqvfo SUMMER REV: Half-Life DUE DATE: JULY 2 nd

https://goo.gl/eaqvfo SUMMER REV: Half-Life DUE DATE: JULY 2 nd NAME: DUE DATE: JULY 2 nd AP Chemistry SUMMER REV: Half-Life Why? Every radiistpe has a characteristic rate f decay measured by its half-life. Half-lives can be as shrt as a fractin f a secnd r as lng

More information

CLASS XI SET A PHYSICS

CLASS XI SET A PHYSICS PHYSIS. If the acceleratin f wedge in the shwn arrangement is a twards left then at this instant acceleratin f the blck wuld be, (assume all surfaces t be frictinless) a () ( cs )a () a () cs a If the

More information

Chapter 2. Kinematics in One Dimension. Kinematics deals with the concepts that are needed to describe motion.

Chapter 2. Kinematics in One Dimension. Kinematics deals with the concepts that are needed to describe motion. Chapter Kinematics in One Dimensin Kinematics deals with the cncepts that are needed t describe mtin. Dynamics deals with the effect that frces have n mtin. Tgether, kinematics and dynamics frm the branch

More information

Aircraft Performance - Drag

Aircraft Performance - Drag Aircraft Perfrmance - Drag Classificatin f Drag Ntes: Drag Frce and Drag Cefficient Drag is the enemy f flight and its cst. One f the primary functins f aerdynamicists and aircraft designers is t reduce

More information

BASD HIGH SCHOOL FORMAL LAB REPORT

BASD HIGH SCHOOL FORMAL LAB REPORT BASD HIGH SCHOOL FORMAL LAB REPORT *WARNING: After an explanatin f what t include in each sectin, there is an example f hw the sectin might lk using a sample experiment Keep in mind, the sample lab used

More information

Figure 1a. A planar mechanism.

Figure 1a. A planar mechanism. ME 5 - Machine Design I Fall Semester 0 Name f Student Lab Sectin Number EXAM. OPEN BOOK AND CLOSED NOTES. Mnday, September rd, 0 Write n ne side nly f the paper prvided fr yur slutins. Where necessary,

More information

Yeu-Sheng Paul Shiue, Ph.D 薛宇盛 Professor and Chair Mechanical Engineering Department Christian Brothers University 650 East Parkway South Memphis, TN

Yeu-Sheng Paul Shiue, Ph.D 薛宇盛 Professor and Chair Mechanical Engineering Department Christian Brothers University 650 East Parkway South Memphis, TN Yeu-Sheng Paul Shiue, Ph.D 薛宇盛 Prfessr and Chair Mechanical Engineering Department Christian Brthers University 650 East Parkway Suth Memphis, TN 38104 Office: (901) 321-3424 Rm: N-110 Fax : (901) 321-3402

More information

Physics 102. Second Midterm Examination. Summer Term ( ) (Fundamental constants) (Coulomb constant)

Physics 102. Second Midterm Examination. Summer Term ( ) (Fundamental constants) (Coulomb constant) ε µ0 N mp T kg Kuwait University hysics Department hysics 0 Secnd Midterm Examinatin Summer Term (00-0) July 7, 0 Time: 6:00 7:0 M Name Student N Instructrs: Drs. bdel-karim, frusheh, Farhan, Kkaj, a,

More information

Study Guide: PS. 10 Motion, Forces, Work & Simple Machines DESCRIBING MOTION SPEED

Study Guide: PS. 10 Motion, Forces, Work & Simple Machines DESCRIBING MOTION SPEED DESCRIBING MOTION Distance: hw far smething has mved; SI unit meters (m) Reference pint: nn-mving bject used as a cmparisn pint t detect an bject s mtin. Displacement: the distance between the starting

More information

AP Physics Laboratory #4.1: Projectile Launcher

AP Physics Laboratory #4.1: Projectile Launcher AP Physics Labratry #4.1: Prjectile Launcher Name: Date: Lab Partners: EQUIPMENT NEEDED PASCO Prjectile Launcher, Timer, Phtgates, Time f Flight Accessry PURPOSE The purpse f this Labratry is t use the

More information

Dispersion Ref Feynman Vol-I, Ch-31

Dispersion Ref Feynman Vol-I, Ch-31 Dispersin Ref Feynman Vl-I, Ch-31 n () = 1 + q N q /m 2 2 2 0 i ( b/m) We have learned that the index f refractin is nt just a simple number, but a quantity that varies with the frequency f the light.

More information

11. DUAL NATURE OF RADIATION AND MATTER

11. DUAL NATURE OF RADIATION AND MATTER 11. DUAL NATURE OF RADIATION AND MATTER Very shrt answer and shrt answer questins 1. Define wrk functin f a metal? The minimum energy required fr an electrn t escape frm the metal surface is called the

More information

NGSS High School Physics Domain Model

NGSS High School Physics Domain Model NGSS High Schl Physics Dmain Mdel Mtin and Stability: Frces and Interactins HS-PS2-1: Students will be able t analyze data t supprt the claim that Newtn s secnd law f mtin describes the mathematical relatinship

More information

AP Statistics Notes Unit Two: The Normal Distributions

AP Statistics Notes Unit Two: The Normal Distributions AP Statistics Ntes Unit Tw: The Nrmal Distributins Syllabus Objectives: 1.5 The student will summarize distributins f data measuring the psitin using quartiles, percentiles, and standardized scres (z-scres).

More information

Pipetting 101 Developed by BSU CityLab

Pipetting 101 Developed by BSU CityLab Discver the Micrbes Within: The Wlbachia Prject Pipetting 101 Develped by BSU CityLab Clr Cmparisns Pipetting Exercise #1 STUDENT OBJECTIVES Students will be able t: Chse the crrect size micrpipette fr

More information

Phys102 Final-061 Zero Version Coordinator: Nasser Wednesday, January 24, 2007 Page: 1

Phys102 Final-061 Zero Version Coordinator: Nasser Wednesday, January 24, 2007 Page: 1 Crdinatr: Nasser Wednesday, January 4, 007 Page: 1 Q1. Tw transmitters, S 1 and S shwn in the figure, emit identical sund waves f wavelength λ. The transmitters are separated by a distance λ /. Cnsider

More information

5 th grade Common Core Standards

5 th grade Common Core Standards 5 th grade Cmmn Cre Standards In Grade 5, instructinal time shuld fcus n three critical areas: (1) develping fluency with additin and subtractin f fractins, and develping understanding f the multiplicatin

More information

This section is primarily focused on tools to aid us in finding roots/zeros/ -intercepts of polynomials. Essentially, our focus turns to solving.

This section is primarily focused on tools to aid us in finding roots/zeros/ -intercepts of polynomials. Essentially, our focus turns to solving. Sectin 3.2: Many f yu WILL need t watch the crrespnding vides fr this sectin n MyOpenMath! This sectin is primarily fcused n tls t aid us in finding rts/zers/ -intercepts f plynmials. Essentially, ur fcus

More information

SOFT MASSIVE SPRING Objectives: Apparatus: Introduction:

SOFT MASSIVE SPRING Objectives: Apparatus: Introduction: SOFT MASSIVE SPRING Objectives: ) T deterine the spring cnstant and the ass crrectin factr fr the given sft assive spring by static (equilibriu extensin) ethd. 2) T deterine the spring cnstant and the

More information

o o IMPORTANT REMINDERS Reports will be graded largely on their ability to clearly communicate results and important conclusions.

o o IMPORTANT REMINDERS Reports will be graded largely on their ability to clearly communicate results and important conclusions. BASD High Schl Frmal Lab Reprt GENERAL INFORMATION 12 pt Times New Rman fnt Duble-spaced, if required by yur teacher 1 inch margins n all sides (tp, bttm, left, and right) Always write in third persn (avid

More information

Thermodynamics and Equilibrium

Thermodynamics and Equilibrium Thermdynamics and Equilibrium Thermdynamics Thermdynamics is the study f the relatinship between heat and ther frms f energy in a chemical r physical prcess. We intrduced the thermdynamic prperty f enthalpy,

More information

I. Analytical Potential and Field of a Uniform Rod. V E d. The definition of electric potential difference is

I. Analytical Potential and Field of a Uniform Rod. V E d. The definition of electric potential difference is Length L>>a,b,c Phys 232 Lab 4 Ch 17 Electric Ptential Difference Materials: whitebards & pens, cmputers with VPythn, pwer supply & cables, multimeter, crkbard, thumbtacks, individual prbes and jined prbes,

More information

FIZIKA ANGOL NYELVEN JAVÍTÁSI-ÉRTÉKELÉSI ÚTMUTATÓ

FIZIKA ANGOL NYELVEN JAVÍTÁSI-ÉRTÉKELÉSI ÚTMUTATÓ Fizika angl nyelven emelt szint 0804 ÉRETTSÉGI VIZSGA 010. május 18. FIZIKA ANGOL NYELVEN EMELT SZINTŰ ÍRÁSBELI ÉRETTSÉGI VIZSGA JAVÍTÁSI-ÉRTÉKELÉSI ÚTMUTATÓ OKTATÁSI ÉS KULTURÁLIS MINISZTÉRIUM In marking

More information

Name: Block: Date: Science 10: The Great Geyser Experiment A controlled experiment

Name: Block: Date: Science 10: The Great Geyser Experiment A controlled experiment Science 10: The Great Geyser Experiment A cntrlled experiment Yu will prduce a GEYSER by drpping Ments int a bttle f diet pp Sme questins t think abut are: What are yu ging t test? What are yu ging t measure?

More information

Chapter 23 Electromagnetic Waves Lecture 14

Chapter 23 Electromagnetic Waves Lecture 14 Chapter 23 Electrmagnetic Waves Lecture 14 23.1 The Discvery f Electrmagnetic Waves 23.2 Prperties f Electrmagnetic Waves 23.3 Electrmagnetic Waves Carry Energy and Mmentum 23.4 Types f Electrmagnetic

More information

Module 4: General Formulation of Electric Circuit Theory

Module 4: General Formulation of Electric Circuit Theory Mdule 4: General Frmulatin f Electric Circuit Thery 4. General Frmulatin f Electric Circuit Thery All electrmagnetic phenmena are described at a fundamental level by Maxwell's equatins and the assciated

More information

CHM112 Lab Graphing with Excel Grading Rubric

CHM112 Lab Graphing with Excel Grading Rubric Name CHM112 Lab Graphing with Excel Grading Rubric Criteria Pints pssible Pints earned Graphs crrectly pltted and adhere t all guidelines (including descriptive title, prperly frmatted axes, trendline

More information

Accelerated Chemistry POGIL: Half-life

Accelerated Chemistry POGIL: Half-life Name: Date: Perid: Accelerated Chemistry POGIL: Half-life Why? Every radiistpe has a characteristic rate f decay measured by its half-life. Half-lives can be as shrt as a fractin f a secnd r as lng as

More information

Experiment #3. Graphing with Excel

Experiment #3. Graphing with Excel Experiment #3. Graphing with Excel Study the "Graphing with Excel" instructins that have been prvided. Additinal help with learning t use Excel can be fund n several web sites, including http://www.ncsu.edu/labwrite/res/gt/gt-

More information

"1 O O O. -U -7 P fl> 1 3. jff. (t) o o 1-7- PAa s: A - o 0'»«-« "Tf O ") ftt Ti 0 -- CO -1 O. fa n. i,, I. -n F en 2.0»- 4 T2. -5 Ut.

1 O O O. -U -7 P fl> 1 3. jff. (t) o o 1-7- PAa s: A - o 0'»«-« Tf O ) ftt Ti 0 -- CO -1 O. fa n. i,, I. -n F en 2.0»- 4 T2. -5 Ut. crv/ 3 P -U -7 P fl> 1 3 (t) jff?- "1 s P 9-1-7- ~* PAa s: A - "C '»«-«in i,, I ftt Ti -- c 4 T2-5 Ut j 3 C -1 p fa n l> -n F en 2.»- "Tf ") r . x 2 "Z * "! t :.!, 21,, V\ C fn

More information

Matter Content from State Frameworks and Other State Documents

Matter Content from State Frameworks and Other State Documents Atms and Mlecules Mlecules are made f smaller entities (atms) which are bnded tgether. Therefre mlecules are divisible. Miscnceptin: Element and atm are synnyms. Prper cnceptin: Elements are atms with

More information

Physics 212. Lecture 12. Today's Concept: Magnetic Force on moving charges. Physics 212 Lecture 12, Slide 1

Physics 212. Lecture 12. Today's Concept: Magnetic Force on moving charges. Physics 212 Lecture 12, Slide 1 Physics 1 Lecture 1 Tday's Cncept: Magnetic Frce n mving charges F qv Physics 1 Lecture 1, Slide 1 Music Wh is the Artist? A) The Meters ) The Neville rthers C) Trmbne Shrty D) Michael Franti E) Radiatrs

More information

WYSE Academic Challenge Regional Mathematics 2007 Solution Set

WYSE Academic Challenge Regional Mathematics 2007 Solution Set WYSE Academic Challenge Reginal Mathematics 007 Slutin Set 1. Crrect answer: C. ( ) ( ) 1 + y y = ( + ) + ( y y + 1 ) = + 1 1 ( ) ( 1 + y ) = s *1/ = 1. Crrect answer: A. The determinant is ( 1 ( 1) )

More information

Revision: August 19, E Main Suite D Pullman, WA (509) Voice and Fax

Revision: August 19, E Main Suite D Pullman, WA (509) Voice and Fax .7.4: Direct frequency dmain circuit analysis Revisin: August 9, 00 5 E Main Suite D Pullman, WA 9963 (509) 334 6306 ice and Fax Overview n chapter.7., we determined the steadystate respnse f electrical

More information

Assume that the water in the nozzle is accelerated at a rate such that the frictional effect can be neglected.

Assume that the water in the nozzle is accelerated at a rate such that the frictional effect can be neglected. 1 HW #3: Cnservatin f Linear Mmentum, Cnservatin f Energy, Cnservatin f Angular Mmentum and Turbmachines, Bernulli s Equatin, Dimensinal Analysis, and Pipe Flws Prblem 1. Cnservatins f Mass and Linear

More information

February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA

February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA Mental Experiment regarding 1D randm walk Cnsider a cntainer f gas in thermal

More information

Chapter 4. Unsteady State Conduction

Chapter 4. Unsteady State Conduction Chapter 4 Unsteady State Cnductin Chapter 5 Steady State Cnductin Chee 318 1 4-1 Intrductin ransient Cnductin Many heat transfer prblems are time dependent Changes in perating cnditins in a system cause

More information

Temperature sensor / Dual Temp+Humidity

Temperature sensor / Dual Temp+Humidity www.akcp.cm Temperature sensr / Dual Temp+Humidity Intrductin Temperature sensrs are imprtant where ptimum temperature cntrl is paramunt. If there is an air cnditining malfunctin r abnrmal weather cnditins,

More information

clicker 1/25/2011 All C s are 8.00 nf. The battery is 12 V. What is the equivalent capacitance? summary o

clicker 1/25/2011 All C s are 8.00 nf. The battery is 12 V. What is the equivalent capacitance? summary o /5/0 summary C = ε / d = πε / ln( b / a ) ab C = 4πε 4πε a b a b >> a Capacitance Parallel plates, caxial cables, Earth Series and parallel cmbinatins Energy in a capacitr Dielectrics Dielectric strength

More information

Materials o o o o o o o o o

Materials o o o o o o o o o Experiment 3: Measurements, the Metric System & Density Objective The purpse f experiment is t becme familiar with the metric system by taking measurements using metric. Additinally, the purpse f this

More information

Lecture 17: Free Energy of Multi-phase Solutions at Equilibrium

Lecture 17: Free Energy of Multi-phase Solutions at Equilibrium Lecture 17: 11.07.05 Free Energy f Multi-phase Slutins at Equilibrium Tday: LAST TIME...2 FREE ENERGY DIAGRAMS OF MULTI-PHASE SOLUTIONS 1...3 The cmmn tangent cnstructin and the lever rule...3 Practical

More information

GAUSS' LAW E. A. surface

GAUSS' LAW E. A. surface Prf. Dr. I. M. A. Nasser GAUSS' LAW 08.11.017 GAUSS' LAW Intrductin: The electric field f a given charge distributin can in principle be calculated using Culmb's law. The examples discussed in electric

More information