# Solution to Quiz 2. April 18, 2010

Size: px
Start display at page:

Transcription

1 Solution to Quiz April 8, 00 Four capacitors are connected as shown below What is the equivalent capacitance of the combination between points a and b? a µf b 50 µf c 0 µf d 5 µf e 34 µf Answer: b (A lazy man s solution: Treat the capacitors as a whole with an equivalent capacitance C 34 Then the total C capacitor C 34 C 34 C +C 34 < C 0µF Only answer b satisfies this!) Solve it step by step: As shown in Fig, C and C 3 are capacitors in series, so their effective capacitance C 3 satisfies + C 3 C C 3 C 3 C C 3 6µF µf µf 4µF C + C 3 6µF + µf Then, the effective capacitor C 3 is parallel to C 4, so we get a new effective capacitor C 34, C 34 C 3 + C 4 4µF + 6µF 0µF which works the same as the combination of C, C 3 and C 4 in this configuration Finally, the equivalent capacitance of the whole system would be C 34, which satisfies C 34 C 34 + C C 34 C C 34 0µF 0µF C + C 34 0µF + 0µF 5µF Four capacitors are connected as shown below If a difference of potential of 8 V is applied between points a and b, what is the potential difference and the charge in the top 6 µf capacitor? a 8 V and 90 µc b 3 V and 54 µc C 0μF C 6μF C 3μF a b Figure : C 46μF

2 And c 6 V and 36 µc d 3 V and 36 µc e 6 V and 54 µc Answer: c (A lazy man s solution: Check V Q C, C 6µF for the five answer Here only answer c satisfies this!) Solve it step by step: Since C and equivalent capacitors C 34 are in series, they carry the same charge, V Q C, V 34 V C 34 C V 34 Q C 34 V ab V + V 34 C ( ) 34 C34 V 34 + V 34 + V 34 C C V 34 C 34 C + V ab 8V 9V 0µF 0µF + Then, since C 3 is in parallel with C 4, the potential difference between them are the same V 3 V 4 V 34 9V Finally, using the same reasoning as above for finding V 34 when V ab is known, we can find V, the potential difference in the top 6µF capacitor, when V 3 is known And The charge in the top 6µF capacitor is V Q C, V 3 Q C 3 V 3 C C 3 V V 3 V + V 3 V + C ( V + C ) V C 3 C 3 V + C V 3 C 3 + 6µF µf 9V 6V Q C V 6µF 6V 36µC 3 A parallel plate capacitor is made from two square plates, 0cm on a side The plates are spaced 0cm apart and connected to a 50V battery How much energy is stored in the capacitor? a J b 0 7 J c 35 0 J d J e J Answer: e For parallel plate capacitor, its capacitance is C ε 0A d The energy stored in the capacitor is U CV ε 0 A d V (885 0 C ) 0cm 0cm N m (50V ) 0cm J

3 4 A coaxial cable consists of 40-mm-diamete conductor and an outer conductor of diameter 3cm and negligible thickness If the conductors carry line charge densities ±056nC/m, what is the magnitude of the potential difference between them? a 9 V b V c 4 V d 48 V e 97 V Answer: b The electric field between the inner and outer conductors can be worked out by Gauss s law (taking a Gauss surface: a coaxial cylindrical surface with radius r and length L between the two conductors) EdA q enclosed ε 0 Here, where λ is the charge density of the inner conductor A πr L, q enclosed λl E (r) q enclosed ε 0 A λl ε 0 πr L λ πε 0 r The potential difference between the two conductors is V E dl λ πε 0 ln r outer Here, V λ πε 0 ln r outer router r outer d outer d inner 3cm 40mm 8, λ πε 0 r dr λ ln r r outer r πε inner 0 λ 056nC/m C/m, C/m π ( ) ln 8 0 9V C N m 5 Assuming that the charges +q, +q and +5q are always fixed, what is the total amount of potential energy lost if bring the charge 3q from infinity to the position shown on the figure Use q 0nC and d m a 47 µj b µj c 0 µj d 0 µj e 333 J Answer: c kq d U tot ( 3q) (V + V + V 3 ) ( kq ( 3q) d + k (q) + k (5q) ) d d ( ( 3) + ) kq + 5 d ( ) N m C ( C ) m J

4 ( U tot ( 3) + ) J J 0µJ 6 Two protons are m apart What is the change in electric potential energy if they are brought m closer together? a J b J c J d J e J Answer: a The potential difference between these two places is V kq kq r The change in energy is U q V kq r r ( N ) m C ( C ) m m J 7 A capacitor consists of conducting sphere of radius R surrounded by a concentric conducting shell of radius R What is its capacitance? a ε 0 R /R b ε 0 R R c 4πε 0 R R /(R R ) d 4πε 0 R /R e ε 0 (R R ) Answer: c (A lazy man s solution: Imagine the case that R and R are very large and close to each other So them become a parallel plate capacitor Recall the capacitance of a parallel palter capacitor is C ε 0 A/d In this case A 4πR, (R R or R ), d R R So C ε 0 R / (R R ) Only answer c is in this form!) Solve it step by step: Capacitance is defined as the ratio of charge to potential difference r C Q V Assume the conducting sphere is charged Q, then the potential difference between the two conductors is R V Edl R And the electric field produced by the conducting sphere is equivalent to that produced by a point charge with charge Q located at the center of the sphere E kq r So we have R V R kq dr kq r ( ) ( R R r kq ) R R Q R C ( ) R kq R k (R R ) 4πε R R 0 (R R ) R 4

5 8 A point charge of +30µC is located at the origin of a coordinate system and a second point charge of 60µC is at x +0m At what point on the x axis is the electrical potential zero? a 05 m b +05 m c +033 m d +075 m e +5 m Answer: c A Lazy man s strategy: The electrical potential at point x is a superposition of the potentials produced by the two point charges V x V + V q + q r r Here, q +30µC, q 60µC So V x 0 V x r r r r r, r are the distances from point x to the location of charge q, x 0 and the location of charge q, x +0m, respectively Only answer c satisfies this! A careful guy s solution: You can go on to work out the location x by solving the equation: r x r x x x x 3 m; or x x m x So, in fact, we have two solutions for the location x The first solution is answer c The second solution is not included here 5

### AP Physics C. Electric Potential and Capacitance. Free Response Problems

AP Physics C Electric Potential and Capacitance Free Response Problems 1. Two stationary point charges + are located on the y-axis at a distance L from the origin, as shown above. A third charge +q is

### Physics Electricity & Op-cs Lecture 8 Chapter 24 sec Fall 2017 Semester Professor

Physics 24100 Electricity & Op-cs Lecture 8 Chapter 24 sec. 1-2 Fall 2017 Semester Professor Kol@ck How Much Energy? V 1 V 2 Consider two conductors with electric potentials V 1 and V 2 We can always pick

### Chapter 24 Capacitance and Dielectrics

Chapter 24 Capacitance and Dielectrics 1 Capacitors and Capacitance A capacitor is a device that stores electric potential energy and electric charge. The simplest construction of a capacitor is two parallel

### Chapter 25. Capacitance

Chapter 25 Capacitance 1 1. Capacitors A capacitor is a twoterminal device that stores electric energy. 2 2. Capacitance The figure shows the basic elements of any capacitor two isolated conductors of

### Lecture 7. Capacitors and Electric Field Energy. Last lecture review: Electrostatic potential

Lecture 7. Capacitors and Electric Field Energy Last lecture review: Electrostatic potential V r = U r q Q Iclicker question The figure shows cross sections through two equipotential surfaces. In both

### Exam 1 Solutions. Note that there are several variations of some problems, indicated by choices in parentheses. Problem 1

Exam 1 Solutions Note that there are several variations of some problems, indicated by choices in parentheses. Problem 1 A rod of charge per unit length λ is surrounded by a conducting, concentric cylinder

### Chapter 24 Capacitance and Dielectrics

Chapter 24 Capacitance and Dielectrics Lecture by Dr. Hebin Li Goals for Chapter 24 To understand capacitors and calculate capacitance To analyze networks of capacitors To calculate the energy stored in

### 13 - ELECTROSTATICS Page 1 ( Answers at the end of all questions )

3 - ELECTROSTATICS Page ) Two point charges 8 and - are located at x = 0 and x = L respectively. The location of a point on the x axis at which the net electric field due to these two point charges is

### Physics 420 Fall 2004 Quiz 1 Wednesday This quiz is worth 6 points. Be sure to show your work and label your final answers.

Quiz 1 Wednesday This quiz is worth 6 points. Be sure to show your work and label your final answers. 1. A charge q 1 = +5.0 nc is located on the y-axis, 15 µm above the origin, while another charge q

### Potentials and Fields

Potentials and Fields Review: Definition of Potential Potential is defined as potential energy per unit charge. Since change in potential energy is work done, this means V E x dx and E x dv dx etc. The

### Phys 2102 Spring 2002 Exam 1

Phys 2102 Spring 2002 Exam 1 February 19, 2002 1. When a positively charged conductor touches a neutral conductor, the neutral conductor will: (a) Lose protons (b) Gain electrons (c) Stay neutral (d) Lose

### Physics Jonathan Dowling. Physics 2102 Lecture 7 Capacitors I

Physics 2102 Jonathan Dowling Physics 2102 Lecture 7 Capacitors I Capacitors and Capacitance Capacitor: any two conductors, one with charge +, other with charge Potential DIFFERENCE etween conductors =

### Physics Lecture: 16 MON 23 FEB Capacitance I

Physics 2113 Jonathan Dowling Physics 2113 Lecture: 16 MON 23 FEB Capacitance I Capacitors and Capacitance Capacitor: any two conductors, one with charge +Q, other with charge Q Potential DIFFERENCE between

### Physics (

Exercises Question 2: Two charges 5 0 8 C and 3 0 8 C are located 6 cm apart At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero

### Review. Spring Semester /21/14. Physics for Scientists & Engineers 2 1

Review Spring Semester 2014 Physics for Scientists & Engineers 2 1 Notes! Homework set 13 extended to Tuesday, 4/22! Remember to fill out SIRS form: https://sirsonline.msu.edu Physics for Scientists &

### Electric Potential Energy Chapter 16

Electric Potential Energy Chapter 16 Electric Energy and Capacitance Sections: 1, 2, 4, 6, 7, 8, 9 The electrostatic force is a conservative force It is possible to define an electrical potential energy

### Phys222 W16 Exam 2: Chapters Key. Name:

Name: Please mark your answer here and in the scantron. A positively charged particle is moving in the +y-direction when it enters a region with a uniform electric field pointing in the +y-direction. Which

University of Rhode Island DigitalCommons@URI PHY 204: Elementary Physics II Physics Course Materials 2015 07. Capacitors I Gerhard Müller University of Rhode Island, gmuller@uri.edu Creative Commons License

### 4) A 3.0 pf capacitor consists of two parallel plates that have surface charge densities of 1.0

Quantitative 3) Two parallel plates are separated by 1.0 mm. If the potential difference between them is 2.0 V, what is the magnitude of their surface charge densities? A) 18 nc/m2 4) A 3.0 pf capacitor

### AP Physics C Electricity & Magnetism Mid Term Review

AP Physics C Electricity & Magnetism Mid Term Review 1984 37. When lighted, a 100-watt light bulb operating on a 110-volt household circuit has a resistance closest to (A) 10-2 Ω (B) 10-1 Ω (C) 1 Ω (D)

### Physics (

Question 2.12: A charge of 8 mc is located at the origin. Calculate the work done in taking a small charge of 2 10 9 C from a point P (0, 0, 3 cm) to a point Q (0, 4 cm, 0), via a point R (0, 6 cm, 9 cm).

### Department of Physics. PHYS MAJOR 2 EXAM Test Code: 015. Monday 1 st May 2006 Exam Duration: 2hrs (from 6:30pm to 8:30pm)

Department of Physics PHYS1005 MJOR EXM Test Code: 015 Monday 1 st May 006 Exam Duration: hrs (from 6:30pm to 8:30pm) Name: Student Number: Section Number: Version 15 Page 1 1. Each of the four capacitors

### Reading: Electrostatics 3. Key concepts: Capacitance, energy storage, dielectrics, energy in the E-field.

Reading: Electrostatics 3. Key concepts: Capacitance, energy storage, dielectrics, energy in the E-field. 1.! Questions about charging and discharging capacitors. When an uncharged capacitor is connected

### F 13. The two forces are shown if Q 2 and Q 3 are connected, their charges are equal. F 12 = F 13 only choice A is possible. Ans: Q2.

Q1. Three fixed point charges are arranged as shown in Figure 1, where initially Q 1 = 10 µc, Q = 15 µc, and Q 3 = 5 µc. If charges Q and Q 3 are connected by a very thin conducting wire and then disconnected,

### Capacitor: any two conductors, one with charge +Q, other with charge -Q Potential DIFFERENCE between conductors = V

Physics 2102 Gabriela González Capacitor: any two conductors, one with charge +Q, other with charge -Q Potential DIFFERENCE between conductors = V Units of capacitance: Farad (F) = Coulomb/Volt -Q +Q Uses:

### INDIAN SCHOOL MUSCAT FIRST TERM EXAMINATION PHYSICS

Roll Number SET NO. General Instructions: INDIAN SCHOOL MUSCAT FIRST TERM EXAMINATION PHYSICS CLASS: XII Sub. Code: 04 Time Allotted: Hrs 0.04.08 Max. Marks: 70. All questions are compulsory. There are

### Phys2120 Spring 2017 Practice Exam 1. Chapters Name

Name 1. Two point charges are 4 cm apart. They are moved to a new separation of 2 cm. By what factor does the resulting mutual force between them change? 2. An uncharged conductor is supported by an insulating

### Q1. Three point charges are arranged as shown in FIGURE 1. Find the magnitude of the net electrostatic force on the point charge at the origin.

Coordinator: Saleem Rao Monday, May 01, 2017 Page: 1 Q1. Three point charges are arranged as shown in FIGURE 1. Find the magnitude of the net electrostatic force on the point charge at the origin. A) 1.38

### Chapter 1 The Electric Force

Chapter 1 The Electric Force 1. Properties of the Electric Charges 1- There are two kinds of the electric charges in the nature, which are positive and negative charges. - The charges of opposite sign

### A) 1, 2, 3, 4 B) 4, 3, 2, 1 C) 2, 3, 1, 4 D) 2, 4, 1, 3 E) 3, 2, 4, 1. Page 2

1. Two parallel-plate capacitors with different plate separation but the same capacitance are connected in series to a battery. Both capacitors are filled with air. The quantity that is NOT the same for

### Física Básica Experimental I Cuestiones Tema VII. Electrostática. Soluciones incluidas. 1.

1. A cubical surface with no charge enclosed and with sides 2.0 m long is oriented with right and left faces perpendicular to a uniform electric field E of (1.6 10 5 N/C) î. The net electric flux E through

### Today s agenda: Capacitors and Capacitance. You must be able to apply the equation C=Q/V.

Today s agenda: Capacitors and Capacitance. You must be able to apply the equation C=Q/V. Capacitors: parallel plate, cylindrical, spherical. You must be able to calculate the capacitance of capacitors

### Physics 202 Midterm Exam 1 Oct 2 nd, 2012

ID CODE: A Physics 202 Midterm Exam 1 Oct 2 nd, 2012 Name:...Yibin Pan... Student ID:... Section:... TA (please circle): James Buchannan Diptaranjan Das Ross Devol Yutao Gong Minho Kwon Greg Lau Andrew

### Capacitance. PHY2049: Chapter 25 1

apacitance PHY049: hapter 5 1 oulomb s law Electric fields Equilibrium Gauss law What You Know: Electric Fields Electric fields for several charge configurations Point Dipole (along axes) Line Plane (nonconducting)

### Physics 212. Lecture 7. Conductors and Capacitance. Physics 212 Lecture 7, Slide 1

Physics 212 Lecture 7 Conductors and Capacitance Physics 212 Lecture 7, Slide 1 Conductors The Main Points Charges free to move E = 0 in a conductor Surface = Equipotential In fact, the entire conductor

### Physics 42 Exam 2 PRACTICE Name: Lab

Physics 42 Exam 2 PRACTICE Name: Lab 1 2 3 4 Conceptual Multiple Choice (2 points each) Circle the best answer. 1.Rank in order, from brightest to dimmest, the identical bulbs A to D. A. C = D > B > A

### Friday July 11. Reminder Put Microphone On

Friday July 11 8:30 AM 9:0 AM Catch up Lecture 3 Slide 5 Electron projected in electric field problem Chapter 23 Problem 29 Cylindrical shell problem surrounding wire Show Faraday Ice Pail no chrage inside

### is at the origin, and charge q μc be located if the net force on q

Term: 152 Saturday, April 09, 2016 Page: 1 Q1. Three point charges are arranged along the x-axis. Charge q 3.0 0 μc 1 is at the origin, and charge q 5.0 0 μc 2 is at x = 0.200 m. Where should a third charge

### W05D1 Conductors and Insulators Capacitance & Capacitors Energy Stored in Capacitors

W05D1 Conductors and Insulators Capacitance & Capacitors Energy Stored in Capacitors W05D1 Reading Assignment Course Notes: Sections 3.3, 4.5, 5.1-5.4 1 Outline Conductors and Insulators Conductors as

### PHYSICS - CLUTCH CH 24: CAPACITORS & DIELECTRICS.

!! www.clutchprep.com CONCEPT: CAPACITORS AND CAPACITANCE A CAPACITOR is formed by two surfaces of equal/opposite charge brought close together - Separation of charge potential energy stored Connecting

### Potential from a distribution of charges = 1

Lecture 7 Potential from a distribution of charges V = 1 4 0 X Smooth distribution i q i r i V = 1 4 0 X i q i r i = 1 4 0 Z r dv Calculating the electric potential from a group of point charges is usually

### Consider a point P on the line joining the two charges, as shown in the given figure.

Question 2.1: Two charges 5 10 8 C and 3 10 8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.

---------------------------------------------------------------------------------------------------------- PHYS 2326 University Physics II Class number ---------------------------------------------------------------------------------------------------------------------

### PHY294 Exam #1 Name: Student #: Show work for problems where indicated. Include units in answer.

PHY294 Exam #1 Name: Student #: Show work for problems where indicated. Include units in answer. Some physical constants: e=1.6 X 10-19 C m e = 9.1 X 10-31 kg m p = 1.67 X 10-27 kg g = 9.83 N/kg ε o =

### Phys102 Second Major-161 Zero Version Coordinator: Dr. Naqvi Monday, December 12, 2016 Page: 1

Coordinator: Dr. Naqvi Monday, December 12, 2016 Page: 1 Q1. Two point charges, with charges q1 and q2, are placed a distance r apart. Which of the following statements is TRUE if the electric field due

### Exam 1 Multiple Choice Practice Problems Physics 1251 TA: Clark/Sullivan

Exam 1 Multiple Choice Practice Problems Physics 1251 TA: Clark/Sullivan Disclaimer: We have ZERO intel about what will be covered on the midterm. This is a collection of problems that will force you to

### Questions A hair dryer is rated as 1200 W, 120 V. Its effective internal resistance is (A) 0.1 Ω (B) 10 Ω (C) 12Ω (D) 120 Ω (E) 1440 Ω

Questions 4-41 36. Three 1/ µf capacitors are connected in series as shown in the diagram above. The capacitance of the combination is (A).1 µf (B) 1 µf (C) /3 µf (D) ½ µf (E) 1/6 µf 37. A hair dryer is

### Chapter 23: Gauss Law. PHY2049: Chapter 23 1

Chapter 23: Gauss Law PHY2049: Chapter 23 1 Two Equivalent Laws for Electricity Coulomb s Law equivalent Gauss Law Derivation given in Sec. 23-5 (Read!) Not derived in this book (Requires vector calculus)

### Chapter 24 Capacitance and Dielectrics

Chapter 24 Capacitance and Dielectrics 1 Capacitors and Capacitance A capacitor is a device that stores electric potential energy and electric charge. The simplest construction of a capacitor is two parallel

### Physics 3211: Electromagnetic Theory (Tutorial)

Question 1 a) The capacitor shown in Figure 1 consists of two parallel dielectric layers and a voltage source, V. Derive an equation for capacitance. b) Find the capacitance for the configuration of Figure

### F = Q big = c) The electric potential in a certain region of space can be described by the equation: 16y2 (1 + z 2 ) V (x, y, z) = 10x

1) Short Answer (4 points each)(show YOUR WORK) a) A 3.0 nc (positive) charge and a 1.0 nc (negative) charge are located 0.80 m apart from each other. What is the force on the 3.0 nc (positive) charge

### Electricity. Revision Notes. R.D.Pilkington

Electricity Revision Notes R.D.Pilkington DIRECT CURRENTS Introduction Current: Rate of charge flow, I = dq/dt Units: amps Potential and potential difference: work done to move unit +ve charge from point

### Ch. 16 and 17 Review Problems

Ch. 16 and 17 Review Problems NAME 1) Is it possible for two negative charges to attract each other? A) Yes, they always attract. B) Yes, they will attract if they are close enough. C) Yes, they will attract

### The third charge has to be along the line joining the two charges, outside the two charges, and closer to the weaker.

Coordinator: Dr. M.F.Al-Kuhaili Thursday, uly 30, 2015 Page: 1 Q1. Two point charges q and 4q are at x = 0 and L, respectively. A third charge q is to be placed such that the net force on it is zero. What

### Physics 202, Exam 1 Review

Physics 202, Exam 1 Review Logistics Topics: Electrostatics (Chapters 21-24.6) Point charges: electric force, field, potential energy, and potential Distributions: electric field, electric potential. Interaction

### 26 Capacitance and Dielectrics

Green Items that must be covered for the national test Blue Items from educator.com Red Items from the 8 th edition of Serway 26 Capacitance and Dielectrics 26.1 Definition of Capacitance 26.2 Calculating

### 7. A capacitor has been charged by a D C source. What are the magnitude of conduction and displacement current, when it is fully charged?

1. In which Orientation, a dipole placed in uniform electric field is in (a) stable (b) unstable equilibrium. 2. Two point charges having equal charges separated by 1 m in distance experience a force of

### PHYS 241 EXAM #1 October 5, 2006

1. ( 5 points) Two point particles, one with charge 8 10 9 C and the other with charge 2 10 9 C, are separated by 4 m. The magnitude of the electric field (in N/C) midway between them is: A. 9 10 9 B.

### Chapter 19 Electric Charges, Forces, and Fields

Chapter 19 Electric Charges, Forces, and Fields 1 Overview of Chapter 19 Electric Charge! Insulators and Conductors! Coulomb s Law! The Electric Field! Electric Field Lines! Shielding and Charging by Induction

### Q1. A) 3F/8 B) F/4 C) F/2 D) F/16 E) F The charge on A will be Q 2. Ans: The charge on B will be 3 4 Q. F = k a Q r 2. = 3 8 k Q2 r 2 = 3 8 F

Phys10 Secon Major-1 Zero Version Coorinator: Sunaii Sunay, April 1, 013 Page: 1 Q1. Two ientical conucting spheres A an B carry eual charge Q, an are separate by a istance much larger than their iameters.

### Chapter 24: Capacitance and Dielectrics. Capacitor: two conductors (separated by an insulator) usually oppositely charged. (defines capacitance)

hapter 4: apacitance and Dielectrics apacitor: two conductors (separated by an insulator) usually oppositely charged a b - ab proportional to charge / ab (defines capacitance) units: F / pc4: The parallel

### Second Major Solution Q1. The three capacitors in the figure have an equivalent capacitance of 2.77 µf. What is C 2?

Secon Major Solution Q1. The three capacitors in the figure have an equivalent capacitance of.77 µf. What is C? C 4.0 µf.0 µf A) 7 µf B) µf C) 4 µf D) 3 µf E) 6 µf Q. When the potential ifference across

### Physics 202 Midterm 1 Practice Exam

Physics 202 Midterm 1 Practice Exam Name: Student ID: Section: TA (please circle): Daniel Crow Scott Douglas Yutao Gong Taylor Klaus Aaron Levine Andrew Loveridge Jason Milhone Hojin Yoo Instructions:

### Exam 1 Solutions. The ratio of forces is 1.0, as can be seen from Coulomb s law or Newton s third law.

Prof. Eugene Dunnam Prof. Paul Avery Feb. 6, 007 Exam 1 Solutions 1. A charge Q 1 and a charge Q = 1000Q 1 are located 5 cm apart. The ratio of the electrostatic force on Q 1 to that on Q is: (1) none

### =

Coordinator: Saleem Rao Saturday, December 02, 2017 Page: 1 Q1. Two charge q1 = + 6.00 µc and q2 = 12.0 µc are placed at (2.00 cm, 0) and (4.00 cm, 0), repectively. If a third unknown charge q3 i to be

### ABCD42BEF F2 F8 5 4D65F89 CC89

ABCD BEF F F D F CC Problem A solid insulating sphere of radius a carries a net positive charge 3Q, uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell

### Electrostatics and Electric Potential - Outline

Electrostatics and Electric Potential - Outline 1. Understand the basic properties of electric charge, including conservation of charge and that charges are quantized. 2. Differentiate between conductors

### iclicker A metal ball of radius R has a charge q. Charge is changed q -> - 2q. How does it s capacitance changed?

1 iclicker A metal ball of radius R has a charge q. Charge is changed q -> - 2q. How does it s capacitance changed? q A: C->2 C0 B: C-> C0 C: C-> C0/2 D: C->- C0 E: C->-2 C0 2 iclicker A metal ball of

### Phys102 Second Major-122 Zero Version Coordinator: Sunaidi Sunday, April 21, 2013 Page: 1

Coorinator: Sunaii Sunay, April 1, 013 Page: 1 Q1. Two ientical conucting spheres A an B carry eual charge Q, an are separate by a istance much larger than their iameters. Initially the electrostatic force

### Phys102 Second Major-181 Zero Version Coordinator: Kunwar, S Monday, November 19, 2018 Page: 1

Coordinator: Kunwar, S Monday, November 19, 2018 Page: 1 Q1. A neutral metal ball is suspended by a vertical string. When a positively charged insulating rod is placed near the ball (without touching),

### Lecture 13: Electromagnetic Theory Professor D. K. Ghosh, Physics Department, I.I.T., Bombay. Poisson s and Laplace s Equations

Poisson s and Laplace s Equations Lecture 13: Electromagnetic Theory Professor D. K. Ghosh, Physics Department, I.I.T., Bombay We will spend some time in looking at the mathematical foundations of electrostatics.

### iclicker A device has a charge q=10 nc and a potential V=100V, what s its capacitance? A: 0.1 nf B: 1nF C: 10nF D: F E: 1F

Lecture 8 iclicker A device has a charge q=10 nc and a potential V=100V, what s its capacitance? A: 0.1 nf B: 1nF C: 10nF D: 10 10 F E: 1F iclicker A device has a charge q=10 nc and a potential V=100V,

### PHYSICS. Electrostatics

Electrostatics Coulomb s Law: SYNOPSIS SI unit of electric intensity is NC -1 Dimensions The electric intensity due to isolated point charge, Electric dipole moment, P = q (2a), SI unit is C m Torque on

### Definition of Capacitance

Definition of Capacitance The capacitance, C, of a capacitor is defined as the ratio of the magnitude of the charge on either conductor to the potential difference between the conductors Q C = ΔV The SI

### which checks. capacitance is determined entirely by the dimensions of the cylinders.

4.3. IDENTIFY and SET UP: It is a parallel-plate air capacitor, so we can apply the equations of Section 4.. EXEUTE: (a) (b) = ε 0 A d (c) V ab so Q V = so 0 ab V ab 6 Q 0. 48 0 = = = 604 V. 45 0 F 3 d

### Capacitance, Resistance, DC Circuits

This test covers capacitance, electrical current, resistance, emf, electrical power, Ohm s Law, Kirchhoff s Rules, and RC Circuits, with some problems requiring a knowledge of basic calculus. Part I. Multiple

### Physics 213: General Physics Fall :30 AM Lecture

Physics 213: General Physics Fall 2004 9:30 AM Lecture Midterm I Solutions Tuesday, September 21, 2004 Chem-Phys 153 Name (print): Signature: Student Number: Your Seat Number (on back of chair): 1. Immediately

### Electric Potential Practice Problems

Electric Potential Practice Problems AP Physics Name Multiple Choice 1. A negative charge is placed on a conducting sphere. Which statement is true about the charge distribution (A) Concentrated at the

### Chapter 18 Solutions Set Up: (a) The proton has charge and mass Let point a be at the negative plate and

Chapter 18 Solutions *18.1. Set Up: Since the charge is positive the force on it is in the same direction as the electric field. Since the field is uniform the force is constant is upward is to the right,

### Chapter 24: Capacitance and Dielectrics

hapter 4: apacitance and Dielectrics apacitor: two conductors (separated by an insulator) usually oppositely charged a + b - ab proportional to charge = / ab (defines capacitance) units: F = / pc4: The

### JSR INSTITUTE (PHYSICS) XII ASSINGMENT 1 (CAPACITANCE)

Physics J S R ESTD:007 JSR INSTITUTE (PHYSIS) XII ASSINGMENT (APAITANE). A capacitor of capacitance, which is initially charged up to a potential difference, is connected with a battery of emf / such that

### ELECTROSTATICS (Important formulae and Concepts) I Electric charges and Coulomb s law

ELECTROSTATICS (Important formulae and Concepts) I Electric charges and Coulomb s law II Electric Field and Electric Dipole www.nrpschool.com www.nrpschool.com III ELECTRIC POTENTIAL www.nrpschool.com

### 1. Short Answer (25 points total)

Physics 116b First Practice Examination Due September 19, 2001 Name: Please circle your section: Section 1 Section 2 Section 3 Section 4 I nstructions This is practice for a one hour, closed book examination.

### AMPERE'S LAW. B dl = 0

AMPERE'S LAW The figure below shows a basic result of an experiment done by Hans Christian Oersted in 1820. It shows the magnetic field produced by a current in a long, straight length of current-carrying

### (21/703) At what distance from a point charge of 8µC would the potential equal 3.6X10 4 V?

(/73) At what distance from a point charge of 8µC would the potential equal 3.6X 4 V? (6/73) A positron has the same charge as a proton but the same mass as an electron. Suppose a positron moves 5. cm

### 4 pt. (in J) 3.A

Mark Reeves - Physics 22, Fall 2011 1 A point charge of mass 0.0699 kg and charge q = +6.87 µc is suspended by a thread between the vertical parallel plates of a parallel-plate capacitor, as shown in the

### Profs. D. Acosta, A. Rinzler, S. Hershfield. Exam 1 Solutions

PHY2049 Spring 2009 Profs. D. Acosta, A. Rinzler, S. Hershfield Exam 1 Solutions 1. What is the flux through the right side face of the shown cube if the electric field is given by E = 2xî + 3yĵ and the

### LAST Name (print) ALL WORK MUST BE SHOWN FOR THE FREE RESPONSE QUESTION IN ORDER TO RECEIVE FULL CREDIT.

Physics 107 LAST Name (print) First Mid-Term Exam FIRST Name (print) Summer 2013 Signature: July 5 UIN #: Textbooks, cell phones, or any other forms of wireless communication are strictly prohibited in

### Lecture 8 Multiple Choice Questions :

Lecture 8 Multiple Choice Questions : 1. A point charge -3Q lies at the centre of a conducting shell of radius 2R. The net charge on the outer surface of the shell is -3Q Zero +1.5 Q d. +3Q 2. Two identical

### Physics 202, Exam 1 Review

Physics 202, Exam 1 Review Logistics Topics: Electrostatics + Capacitors (Chapters 21-24) Point charges: electric force, field, potential energy, and potential Distributions: electric field, electric potential.

### ELECTROSTATIC CBSE BOARD S IMPORTANT QUESTIONS OF 1 MARKS

ELECTROSTATIC CBSE BOARD S IMPORTANT QUESTIONS OF 1 MARKS 1. Name any two basic properties of electric charge. [1] 2. Define the term electric dipole-moment. [1] 3. Write the physical quantity, which has

### PHYS General Physics for Engineering II FIRST MIDTERM

Çankaya University Department of Mathematics and Computer Sciences 2010-2011 Spring Semester PHYS 112 - General Physics for Engineering II FIRST MIDTERM 1) Two fixed particles of charges q 1 = 1.0µC and

### Chapter 24 Capacitance, Dielectrics, Electric Energy Storage

Chapter 24 Capacitance, Dielectrics, Electric Energy Storage Units of Chapter 24 Capacitors (1, 2, & 3) Determination of Capacitance (4 & 5) Capacitors in Series and Parallel (6 & 7) Electric Energy Storage

### Chapter 28. Gauss s Law

Chapter 28. Gauss s Law Using Gauss s law, we can deduce electric fields, particularly those with a high degree of symmetry, simply from the shape of the charge distribution. The nearly spherical shape

### Gauss s Law. Chapter 22. Electric Flux Gauss s Law: Definition. Applications of Gauss s Law

Electric Flux Gauss s Law: Definition Chapter 22 Gauss s Law Applications of Gauss s Law Uniform Charged Sphere Infinite Line of Charge Infinite Sheet of Charge Two infinite sheets of charge Phys 2435:

### Chapter 10. Electrostatics

Chapter 10 Electrostatics 3 4 AP Physics Multiple Choice Practice Electrostatics 1. The electron volt is a measure of (A) charge (B) energy (C) impulse (D) momentum (E) velocity. A solid conducting sphere

### AP Physics C. Gauss s Law. Free Response Problems

AP Physics Gauss s Law Free Response Problems 1. A flat sheet of glass of area 0.4 m 2 is placed in a uniform electric field E = 500 N/. The normal line to the sheet makes an angle θ = 60 ẘith the electric

### University Physics 227N/232N Old Dominion University. Exam Review (Chapter 23, Capacitors, is deferred) Exam Wed Feb 12 Lab Fri Feb 14

University Physics 227N/232N Old Dominion University Exam Review (Chapter 23, Capacitors, is deferred) Exam Wed Feb 12 Lab Fri Feb 14 Dr. Todd Satogata (ODU/Jefferson Lab) satogata@jlab.org http://www.toddsatogata.net/2014-odu