Question 1

The equivalent capacitance of the circuit shown below is

Accepted Answer

A) 0.2 C. 
B) 0.4 C. 
C) 1 C. 
D) 4 C. 
E) 5 C. 
A) 0.2 C. 
B) 0.4 C. 
C) 1 C. 
D) 4 C. 
E) 5 C.

Question 2

A particle (charge = +2.0 mC)moving in a region where only electric forces act on it has a kinetic energy of 5.0 J at point A.The particle subsequently passes through point B which has an electric potential of +1.5 kV relative to point A.Determine the kinetic energy of the particle as it moves through point B.

Accepted Answer

A) 3.0 J 
B) 2.0 J 
C) 5.0 J 
D) 8.0 J 
E) 10.0 J 
A) 3.0 J 
B) 2.0 J 
C) 5.0 J 
D) 8.0 J 
E) 10.0 J

Question 3

A 30-$\mu$F capacitor is charged to 80 V and then connected across an initially uncharged capacitor of unknown capacitance C.If the final potential difference across the 30-$\mu$F capacitor is 20 V,determine C.

Accepted Answer

A) 60 $\mu$F 
B) 75 $\mu$F 
C) 45 $\mu$F 
D) 90 $\mu$F 
E) 24 $\mu$F 
A) 60 $\mu$F 
B) 75 $\mu$F 
C) 45 $\mu$F 
D) 90 $\mu$F 
E) 24 $\mu$F

Question 4

A particle (charge = 50 $\mu$C)moves in a region where the only force on it is an electric force.As the particle moves 25 cm from point A to point B,its kinetic energy increases by 1.5 mJ.Determine the electric potential difference,VB - VA.

Accepted Answer

A) -50 V 
B) -40 V 
C) -30 V 
D) -60 V 
E) +15 V 
A) -50 V 
B) -40 V 
C) -30 V 
D) -60 V 
E) +15 V

Question 5

A 25-$\mu$F capacitor charged to 50 V and a capacitor C charged to 20 V are connected to each other,with the two positive plates connected and the two negative plates connected.The final potential difference across the 25-$\mu$F capacitor is 36 V.What is the value of the capacitance of C?

Accepted Answer

A) 43 $\mu$F 
B) 29 $\mu$F 
C) 22 $\mu$F 
D) 58 $\mu$F 
E) 63 $\mu$F 
A) 43 $\mu$F 
B) 29 $\mu$F 
C) 22 $\mu$F 
D) 58 $\mu$F 
E) 63 $\mu$F

Question 6

Determine the equivalent capacitance of the combination shown when C = 12 nF.

Accepted Answer

A) 34 nF 
B) 17 nF 
C) 51 nF 
D) 68 nF 
E) 21 nF 
A) 34 nF 
B) 17 nF 
C) 51 nF 
D) 68 nF 
E) 21 nF

Question 7

A parallel plate capacitor is connected to a battery and charged to voltage V.Leah says that the charge on the plates will decrease if the distance between the plates is increased while they are still connected to the battery.Gertie says that the charge will remain the same.Which one,if either,is correct,and why?

Accepted Answer

A) Gertie,because the maximum voltage is determined by the battery. 
B) Gertie,because the capacitance of the capacitor does not change. 
C) Leah,because the capacitance decreases when the plate separation is increased. 
D) Leah,because the capacitance increases when the plate separation is increased. 
E) Neither,because the charge increases when the plate separation is increased. 
A) Gertie,because the maximum voltage is determined by the battery. 
B) Gertie,because the capacitance of the capacitor does not change. 
C) Leah,because the capacitance decreases when the plate separation is increased. 
D) Leah,because the capacitance increases when the plate separation is increased. 
E) Neither,because the charge increases when the plate separation is increased.

Question 8

Two flat conductors are placed with their inner faces separated by 6.0 mm.If the surface charge density on one of the inner faces is 40 pC/m2,what is the magnitude of the electric potential differences between the two conductors?

Accepted Answer

A) 36 mV 
B) 18 mV 
C) 32 mV 
D) 27 mV 
E) 14 mV 
A) 36 mV 
B) 18 mV 
C) 32 mV 
D) 27 mV 
E) 14 mV

Question 9

Which of the following represents the equipotential lines of a dipole?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

A particle (charge = 5.0 $\mu$C)is released from rest at a point x = 10 cm.If a 5.0-$\mu$C charge is held fixed at the origin,what is the kinetic energy of the particle after it has moved 90 cm?

Accepted Answer

A) 1.6 J 
B) 2.0 J 
C) 2.4 J 
D) 1.2 J 
E) 1.8 J 
A) 1.6 J 
B) 2.0 J 
C) 2.4 J 
D) 1.2 J 
E) 1.8 J

Question 11

Points A [at (3,6)m] and B [at (8,-3)m] are in a region where the electric field is uniform and given by $\overrightarrow { \mathrm { E } } = 12{ \tilde { i } }$ N/C.What is the electric potential difference VA - VB?

Accepted Answer

A) +60 V 
B) -60 V 
C) +80 V 
D) -80 V 
E) +50 V 
A) +60 V 
B) -60 V 
C) +80 V 
D) -80 V 
E) +50 V

Question 12

A parallel plate capacitor of capacitance C0 has plates of area A with separation d between them.When it is connected to a battery of voltage V0,it has charge of magnitude Q0 on its plates.While it is connected to the battery the space between the plates is filled with a material of dielectric constant 3.After the dielectric is added,the magnitude of the charge on the plates and the potential difference between them are

Accepted Answer

A)  $\frac { 1 } { 3 }$ Q0, $\frac { 1 } { 3 }$ V0 
B) Q0, $\frac { 1 } { 3 }$ V0 
C) Q0,V0 
D) 3Q0,V0 
E) 3Q0,3V0 
A)  $\frac { 1 } { 3 }$ Q0, $\frac { 1 } { 3 }$ V0 
B) Q0, $\frac { 1 } { 3 }$ V0 
C) Q0,V0 
D) 3Q0,V0 
E) 3Q0,3V0

Question 13

A parallel plate capacitor of capacitance C0 has plates of area A with separation d between them.When it is connected to a battery of voltage V0,it has charge of magnitude Q0 on its plates.While it is connected to the battery,the space between the plates is filled with a material of dielectric constant 3.After the dielectric is added,the magnitude of the charge on the plates and the new capacitance are

Accepted Answer

A)  $\frac { 1 } { 3 }$ Q0, $\frac { 1 } { 3 }$ C0 
B) Q0, $\frac { 1 } { 3 }$ C0 
C) Q0,C0 
D) 3Q0,C0 
E) 3Q0,3C0 
A)  $\frac { 1 } { 3 }$ Q0, $\frac { 1 } { 3 }$ C0 
B) Q0, $\frac { 1 } { 3 }$ C0 
C) Q0,C0 
D) 3Q0,C0 
E) 3Q0,3C0

Question 14

The electric field in the region defined by the y-z plane and the positive x axis is given by E = ax,where a is a constant.(There is no field for negative values of x. )As x increases in magnitude,relative to V = 0 at the origin,the electric potential in the region defined above is

Accepted Answer

A) a decreasing function proportional to -|x2|. 
B) a decreasing function proportional to -|x|. 
C) constant. 
D) an increasing function proportional to +|x|. 
E) an increasing function proportional to +|x2|. 
A) a decreasing function proportional to -|x2|. 
B) a decreasing function proportional to -|x|. 
C) constant. 
D) an increasing function proportional to +|x|. 
E) an increasing function proportional to +|x2|.

Question 15

Which statement is always correct when applied to a charge distribution located in a finite region of space?

Accepted Answer

A) Electric potential is always zero at infinity. 
B) Electric potential is always zero at the origin. 
C) Electric potential is always zero at a boundary surface to a charge distribution. 
D) Electric potential is always infinite at a boundary surface to a charge distribution. 
E) The location where electric potential is zero may be chosen arbitrarily. 
A) Electric potential is always zero at infinity. 
B) Electric potential is always zero at the origin. 
C) Electric potential is always zero at a boundary surface to a charge distribution. 
D) Electric potential is always infinite at a boundary surface to a charge distribution. 
E) The location where electric potential is zero may be chosen arbitrarily.

Question 16

If a = 30 cm,b = 20 cm,q = +2.0 nC,and Q = -3.0 nC in the figure,what is the potential difference VA - VB?

Accepted Answer

A) +60 V 
B) +72 V 
C) +84 V 
D) +96 V 
E) +48 V 
A) +60 V 
B) +72 V 
C) +84 V 
D) +96 V 
E) +48 V

Question 17

If VA- VB = 50 V,how much energy is stored in the 54-$\mu$F capacitor?

Accepted Answer

A) 50 mJ 
B) 13 mJ 
C) 28 mJ 
D) 8.9 mJ 
E) 17 mJ 
A) 50 mJ 
B) 13 mJ 
C) 28 mJ 
D) 8.9 mJ 
E) 17 mJ

Question 18

The Bohr model pictures a hydrogen atom in its ground state as a proton and an electron separated by the distance a0 = 0.529 *10 - 10 m.The electric potential created by the electron at the position of the proton is

Accepted Answer

A) -13.6 V. 
B) +13.6 V. 
C) -27.2 V. 
D) +27.2 V. 
E) +5.12*109 V. 
A) -13.6 V. 
B) +13.6 V. 
C) -27.2 V. 
D) +27.2 V. 
E) +5.12*109 V.

Question 19

Two identical particles,each with a mass of 4.5 $\mu$g and a charge of 30 nC,are moving directly toward each other with equal speeds of 4.0 m/s at an instant when the distance separating the two is equal to 25 cm.How far apart will they be when closest to one another?

Accepted Answer

A) 9.8 cm 
B) 12 cm 
C) 7.8 cm 
D) 15 cm 
E) 20 cm 
A) 9.8 cm 
B) 12 cm 
C) 7.8 cm 
D) 15 cm 
E) 20 cm

Question 20

A 3.0-$\mu$F capacitor charged to 40 V and a 5.0-$\mu$F capacitor charged to 18 V are connected to each other,with the positive plate of each connected to the negative plate of the other.What is the final charge on the 3.0-$\mu$F capacitor?

Accepted Answer

A) 11 $\mu$C 
B) 15 $\mu$C 
C) 19 $\mu$C 
D) 26 $\mu$C 
E) 79$\mu$C 
A) 11 $\mu$C 
B) 15 $\mu$C 
C) 19 $\mu$C 
D) 26 $\mu$C 
E) 79$\mu$C

Exam 20: Electric Potential and Capacitance

The equivalent capacitance of the circuit shown below is

A 30- μ\muμ F capacitor is charged to 80 V and then connected across an initially uncharged capacitor of unknown capacitance C.If the final potential difference across the 30- μ\muμ F capacitor is 20 V,determine C.

A particle (charge = 50 μ\muμ C)moves in a region where the only force on it is an electric force.As the particle moves 25 cm from point A to point B,its kinetic energy increases by 1.5 mJ.Determine the electric potential difference,VB - VA.

A 25- μ\muμ F capacitor charged to 50 V and a capacitor C charged to 20 V are connected to each other,with the two positive plates connected and the two negative plates connected.The final potential difference across the 25- μ\muμ F capacitor is 36 V.What is the value of the capacitance of C?

Determine the equivalent capacitance of the combination shown when C = 12 nF.

Two flat conductors are placed with their inner faces separated by 6.0 mm.If the surface charge density on one of the inner faces is 40 pC/m2,what is the magnitude of the electric potential differences between the two conductors?

Which of the following represents the equipotential lines of a dipole?

A particle (charge = 5.0 μ\muμ C)is released from rest at a point x = 10 cm.If a 5.0- μ\muμ C charge is held fixed at the origin,what is the kinetic energy of the particle after it has moved 90 cm?

Points A [at (3,6)m] and B [at (8,-3)m] are in a region where the electric field is uniform and given by E→=12i~\overrightarrow { \mathrm { E } } = 12{ \tilde { i } }E=12i~ N/C.What is the electric potential difference VA - VB?

The electric field in the region defined by the y-z plane and the positive x axis is given by E = ax,where a is a constant.(There is no field for negative values of x. )As x increases in magnitude,relative to V = 0 at the origin,the electric potential in the region defined above is

Which statement is always correct when applied to a charge distribution located in a finite region of space?

If a = 30 cm,b = 20 cm,q = +2.0 nC,and Q = -3.0 nC in the figure,what is the potential difference VA - VB?

If VA- VB = 50 V,how much energy is stored in the 54- μ\muμ F capacitor?

The Bohr model pictures a hydrogen atom in its ground state as a proton and an electron separated by the distance a0 = 0.529 *10 - 10 m.The electric potential created by the electron at the position of the proton is

Two identical particles,each with a mass of 4.5 μ\muμ g and a charge of 30 nC,are moving directly toward each other with equal speeds of 4.0 m/s at an instant when the distance separating the two is equal to 25 cm.How far apart will they be when closest to one another?

A 3.0- μ\muμ F capacitor charged to 40 V and a 5.0- μ\muμ F capacitor charged to 18 V are connected to each other,with the positive plate of each connected to the negative plate of the other.What is the final charge on the 3.0- μ\muμ F capacitor?

Introduction and Vectors

Motion in One Dimension

Motion in Two Dimensions

The Laws of Motion

More Applications of Newtons Laws

Energy of a System

Conservation of Energy

Momentum and Collisions

Relativity

Rotational Motion

Gravity,planetary Orbits,and the Hydrogen Atom

Oscillatory Motion

Mechanical Waves

Superposition and Standing Waves

Fluid Mechanics

Temperature and the Kinetic Theory of Gases

Energy in Thermal Processes: the First Law of Thermodynamics

Heat Engines,entropy,and the Second Law of Thermodynamics

Electric Forces and Electric Fields

Current and Direct Current Circuits

Magnetic Forces and Magnetic Fields

Faradays Law and Inductance

Electromagnetic Waves

Reflection and Refraction of Light

Image Formation by Mirrors and Lenses

Wave Optics

Quantum Physics

Atomic Physics

Nuclear Physics

Particle Physics

Filters

A 30- $\mu$ F capacitor is charged to 80 V and then connected across an initially uncharged capacitor of unknown capacitance C.If the final potential difference across the 30- $\mu$ F capacitor is 20 V,determine C.

A particle (charge = 50 $\mu$ C)moves in a region where the only force on it is an electric force.As the particle moves 25 cm from point A to point B,its kinetic energy increases by 1.5 mJ.Determine the electric potential difference,V_B - V_A.

A 25- $\mu$ F capacitor charged to 50 V and a capacitor C charged to 20 V are connected to each other,with the two positive plates connected and the two negative plates connected.The final potential difference across the 25- $\mu$ F capacitor is 36 V.What is the value of the capacitance of C?

Two flat conductors are placed with their inner faces separated by 6.0 mm.If the surface charge density on one of the inner faces is 40 pC/m²,what is the magnitude of the electric potential differences between the two conductors?

A particle (charge = 5.0 $\mu$ C)is released from rest at a point x = 10 cm.If a 5.0- $\mu$ C charge is held fixed at the origin,what is the kinetic energy of the particle after it has moved 90 cm?

Points A [at (3,6)m] and B [at (8,-3)m] are in a region where the electric field is uniform and given by $\overrightarrow { \mathrm { E } } = 12{ \tilde { i } }$ N/C.What is the electric potential difference V_A - V_B?

If a = 30 cm,b = 20 cm,q = +2.0 nC,and Q = -3.0 nC in the figure,what is the potential difference V_A - V_B?

If V_A- V_B = 50 V,how much energy is stored in the 54- $\mu$ F capacitor? $If V<sub>A</sub>- V<sub>B</sub> = 50 V,how much energy is stored in the 54- \mu F capacitor?$

The Bohr model pictures a hydrogen atom in its ground state as a proton and an electron separated by the distance a₀ = 0.529 *10 ^- ¹⁰ m.The electric potential created by the electron at the position of the proton is

Two identical particles,each with a mass of 4.5 $\mu$ g and a charge of 30 nC,are moving directly toward each other with equal speeds of 4.0 m/s at an instant when the distance separating the two is equal to 25 cm.How far apart will they be when closest to one another?

A 3.0- $\mu$ F capacitor charged to 40 V and a 5.0- $\mu$ F capacitor charged to 18 V are connected to each other,with the positive plate of each connected to the negative plate of the other.What is the final charge on the 3.0- $\mu$ F capacitor?