Exam 20: Electric Potential and Capacitance

Charge of uniform density 90 nC/m³ is distributed throughout the inside of a long nonconducting cylindrical rod (radius = 2.0 cm).Determine the magnitude of the potential difference of point A (2.0 cm from the axis of the rod)and point B (4.0 cm from the axis).

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Question 1

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Identical point charges (+30 $\mu$ C)are placed at the corners of a rectangle (4.0 m *6.0 m).How much external energy is required to bring a charge of 55 $\mu$ C from infinity to the midpoint of one of the 6.0-m long sides of the rectangle?

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Question 2

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A capacitor of unknown capacitance C is charged to 100 V and then connected across an initially uncharged 60- $\mu$ F capacitor.If the final potential difference across the 60- $\mu$ F capacitor is 40 V,determine C.

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Question 3

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Charge of uniform linear density 3.0 nC/m is distributed along the x axis from x = 0 to x = 3 m.Which of the following integrals is correct for the electric potential (relative to zero at infinity)at the point x = +4 m on the x axis?

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Question 4

An initially uncharged parallel plate capacitor of capacitance C is charged to potential V by a battery.The battery is then disconnected.Which statement is correct?

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Question 5

Point charges q and Q are positioned as shown.If q = +2.0 nC,Q = -2.0 nC,a = 3.0 m,and b = 4.0 m,what is the electric potential difference,V_A -V_B?

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Question 6

A +4.0- $\pm$ C charge is placed on the x axis at x = +3.0 m,and a -2.0- $\pm$ C charge is located on the y axis at y = -1.0 m.Point A is on the y axis at y = +4.0 m.Determine the electric potential at point A (relative to zero at the origin).

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Question 7

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.It is then disconnected from the battery and the space between the plates is filled with a material of dielectric constant 3.After the dielectric is added,the magnitudes of the capacitance and the potential difference between the plates are

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Question 8

A 15- $\mu$ F capacitor is charged to 40 V and then connected across an initially uncharged 25- $\mu$ F capacitor.What is the final potential difference across the 25- $\mu$ F capacitor?

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Question 9

Four electrons move from point A to point B in a uniform electric field as shown below.Rank the electrons in diagrams I through IV by the changes in potential energy from most positive to most negative when traveling from A to B.

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Question 10

A charge of 40 pC is distributed on an isolated spherical conductor that has a 4.0-cm radius.Point A is 1.0 cm from the center of the conductor and point B is 5.0 cm from the center of the conductor.Determine the electric potential difference V_A - V_B.

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Question 11

An electron is released from rest at the negative plate of a parallel plate capacitor.If the distance between the plates is 5 mm and the potential difference across the plates is 5 V,with what velocity does the electron hit the positive plate? (m_e = 9.1 10 ^- ³¹ kg,q_e = 1.610 ^- ¹⁹ C. )

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Question 12

Is it feasible to construct an air-filled parallel-plate capacitor that has its two plates separated by 0.10 mm and has a capacitance of 1.0 F? Why or why not?

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Question 13

An alpha particle (m = 6.7* 10 ^- ²⁷ kg,q = +3.2 *10 ^- ¹⁹ C)has a speed of 20 km/s at point A and moves to point B where it momentarily stops.Only electric forces act on the particle during this motion.Determine the electric potential difference V_A- V_B.

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Question 14

A linear charge of nonuniform density $\lambda$ = bx,where b = 2.1 nC/m²,is distributed along the x axis from x = 2.0 m to x = 3.0 m.Determine the electric potential (relative to zero at infinity)of the point y = 4.0 m on the y axis.

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Question 15

Points A [at (2,3)m] and B [at (5,7)m] are in a region where the electric field is uniform and given by $\overrightarrow { \mathbf { E } } = ( 4 \tilde { \mathbf { i } } + 3 \tilde { \mathbf { j } } )$ N/C.What is the potential difference V_A - V_B?

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Question 16

When a negative charge is released and moves along an electric field line,it moves to a position of

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Question 17

The equivalent capacitance of the circuit shown below is

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Question 18

Identical 2.0- $\mu$ C charges are located on the vertices of a square with sides that are 2.0 m in length.Determine the electric potential (relative to zero at infinity)at the center of the square.

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Question 19

When introduced into a region where an electric field is present,a proton with initial velocity $\overrightarrow { \mathbf { v } }$ will eventually move

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Question 20

Showing 1 - 20 of 158

Exam 20: Electric Potential and Capacitance

Charge of uniform density 90 nC/m3 is distributed throughout the inside of a long nonconducting cylindrical rod (radius = 2.0 cm).Determine the magnitude of the potential difference of point A (2.0 cm from the axis of the rod)and point B (4.0 cm from the axis).

Identical point charges (+30 μ\muμ C)are placed at the corners of a rectangle (4.0 m *6.0 m).How much external energy is required to bring a charge of 55 μ\muμ C from infinity to the midpoint of one of the 6.0-m long sides of the rectangle?

A capacitor of unknown capacitance C is charged to 100 V and then connected across an initially uncharged 60- μ\muμ F capacitor.If the final potential difference across the 60- μ\muμ F capacitor is 40 V,determine C.

Charge of uniform linear density 3.0 nC/m is distributed along the x axis from x = 0 to x = 3 m.Which of the following integrals is correct for the electric potential (relative to zero at infinity)at the point x = +4 m on the x axis?

An initially uncharged parallel plate capacitor of capacitance C is charged to potential V by a battery.The battery is then disconnected.Which statement is correct?

Point charges q and Q are positioned as shown.If q = +2.0 nC,Q = -2.0 nC,a = 3.0 m,and b = 4.0 m,what is the electric potential difference,VA -VB?

A +4.0- ±\pm± C charge is placed on the x axis at x = +3.0 m,and a -2.0- ±\pm± C charge is located on the y axis at y = -1.0 m.Point A is on the y axis at y = +4.0 m.Determine the electric potential at point A (relative to zero at the origin).

A 15- μ\muμ F capacitor is charged to 40 V and then connected across an initially uncharged 25- μ\muμ F capacitor.What is the final potential difference across the 25- μ\muμ F capacitor?

Four electrons move from point A to point B in a uniform electric field as shown below.Rank the electrons in diagrams I through IV by the changes in potential energy from most positive to most negative when traveling from A to B.

A charge of 40 pC is distributed on an isolated spherical conductor that has a 4.0-cm radius.Point A is 1.0 cm from the center of the conductor and point B is 5.0 cm from the center of the conductor.Determine the electric potential difference VA - VB.

An electron is released from rest at the negative plate of a parallel plate capacitor.If the distance between the plates is 5 mm and the potential difference across the plates is 5 V,with what velocity does the electron hit the positive plate? (me = 9.1 *10 - 31 kg,qe = 1.6*10 - 19 C. )

Is it feasible to construct an air-filled parallel-plate capacitor that has its two plates separated by 0.10 mm and has a capacitance of 1.0 F? Why or why not?

An alpha particle (m = 6.7* 10 - 27 kg,q = +3.2 *10 - 19 C)has a speed of 20 km/s at point A and moves to point B where it momentarily stops.Only electric forces act on the particle during this motion.Determine the electric potential difference VA- VB.

A linear charge of nonuniform density λ\lambdaλ = bx,where b = 2.1 nC/m2,is distributed along the x axis from x = 2.0 m to x = 3.0 m.Determine the electric potential (relative to zero at infinity)of the point y = 4.0 m on the y axis.

Points A [at (2,3)m] and B [at (5,7)m] are in a region where the electric field is uniform and given by E→=(4i~+3j~)\overrightarrow { \mathbf { E } } = ( 4 \tilde { \mathbf { i } } + 3 \tilde { \mathbf { j } } )E=(4i~+3j~​) N/C.What is the potential difference VA - VB?

When a negative charge is released and moves along an electric field line,it moves to a position of

The equivalent capacitance of the circuit shown below is

Identical 2.0- μ\muμ C charges are located on the vertices of a square with sides that are 2.0 m in length.Determine the electric potential (relative to zero at infinity)at the center of the square.

When introduced into a region where an electric field is present,a proton with initial velocity v→\overrightarrow { \mathbf { v } }v will eventually move

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Charge of uniform density 90 nC/m³ is distributed throughout the inside of a long nonconducting cylindrical rod (radius = 2.0 cm).Determine the magnitude of the potential difference of point A (2.0 cm from the axis of the rod)and point B (4.0 cm from the axis).

Identical point charges (+30 $\mu$ C)are placed at the corners of a rectangle (4.0 m *6.0 m).How much external energy is required to bring a charge of 55 $\mu$ C from infinity to the midpoint of one of the 6.0-m long sides of the rectangle?

A capacitor of unknown capacitance C is charged to 100 V and then connected across an initially uncharged 60- $\mu$ F capacitor.If the final potential difference across the 60- $\mu$ F capacitor is 40 V,determine C.

Point charges q and Q are positioned as shown.If q = +2.0 nC,Q = -2.0 nC,a = 3.0 m,and b = 4.0 m,what is the electric potential difference,V_A -V_B?

A +4.0- $\pm$ C charge is placed on the x axis at x = +3.0 m,and a -2.0- $\pm$ C charge is located on the y axis at y = -1.0 m.Point A is on the y axis at y = +4.0 m.Determine the electric potential at point A (relative to zero at the origin).

A 15- $\mu$ F capacitor is charged to 40 V and then connected across an initially uncharged 25- $\mu$ F capacitor.What is the final potential difference across the 25- $\mu$ F capacitor?

A charge of 40 pC is distributed on an isolated spherical conductor that has a 4.0-cm radius.Point A is 1.0 cm from the center of the conductor and point B is 5.0 cm from the center of the conductor.Determine the electric potential difference V_A - V_B.

An electron is released from rest at the negative plate of a parallel plate capacitor.If the distance between the plates is 5 mm and the potential difference across the plates is 5 V,with what velocity does the electron hit the positive plate? (m_e = 9.1 10 ^- ³¹ kg,q_e = 1.610 ^- ¹⁹ C. )

An alpha particle (m = 6.7* 10 ^- ²⁷ kg,q = +3.2 *10 ^- ¹⁹ C)has a speed of 20 km/s at point A and moves to point B where it momentarily stops.Only electric forces act on the particle during this motion.Determine the electric potential difference V_A- V_B.

A linear charge of nonuniform density $\lambda$ = bx,where b = 2.1 nC/m²,is distributed along the x axis from x = 2.0 m to x = 3.0 m.Determine the electric potential (relative to zero at infinity)of the point y = 4.0 m on the y axis.

Points A [at (2,3)m] and B [at (5,7)m] are in a region where the electric field is uniform and given by $\overrightarrow { \mathbf { E } } = ( 4 \tilde { \mathbf { i } } + 3 \tilde { \mathbf { j } } )$ N/C.What is the potential difference V_A - V_B?

Identical 2.0- $\mu$ C charges are located on the vertices of a square with sides that are 2.0 m in length.Determine the electric potential (relative to zero at infinity)at the center of the square.

When introduced into a region where an electric field is present,a proton with initial velocity $\overrightarrow { \mathbf { v } }$ will eventually move