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An electric dipole having dipole moment of magnitude p is placed in a uniform electric field having magnitude E.What is the magnitude of the greatest change in potential energy that can happen for this dipole in this field?


A) pE
B) An electric dipole having dipole moment of magnitude p is placed in a uniform electric field having magnitude E.What is the magnitude of the greatest change in potential energy that can happen for this dipole in this field? A) pE B)    C) 4pE D)    E) No answer given is correct.
C) 4pE
D) An electric dipole having dipole moment of magnitude p is placed in a uniform electric field having magnitude E.What is the magnitude of the greatest change in potential energy that can happen for this dipole in this field? A) pE B)    C) 4pE D)    E) No answer given is correct.
E) No answer given is correct.

F) C) and E)
G) All of the above

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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 charge on the plates and the potential difference between them are:


A) Q0, V0. 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 charge on the plates and the potential difference between them are: A) Q0, V0.     B) Q0, V0.   C) Q0, V0. D) Q0, 3V0. E) 3Q0, 3V0. 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 charge on the plates and the potential difference between them are: A) Q0, V0.     B) Q0, V0.   C) Q0, V0. D) Q0, 3V0. E) 3Q0, 3V0.
B) Q0, V0. 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 charge on the plates and the potential difference between them are: A) Q0, V0.     B) Q0, V0.   C) Q0, V0. D) Q0, 3V0. E) 3Q0, 3V0.
C) Q0, V0.
D) Q0, 3V0.
E) 3Q0, 3V0.

F) A) and C)
G) None of the above

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A 20- μ\mu F capacitor charged to 2.0 kV and a 40- μ\mu F capacitor charged to 3.0 kV 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 20- μ\mu F capacitor after the two are so connected?


A) 53 mC
B) 27 mC
C) 40 mC
D) 80 mC
E) 39 mC

F) B) and C)
G) D) and E)

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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.The plates are pulled apart to a separation 2d while the capacitor remains connected to the battery.After the plates are 2d apart, the magnitude of the charge on the plates and the potential difference between them are:


A) Q0, V0 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.The plates are pulled apart to a separation 2d while the capacitor remains connected to the battery.After the plates are 2d apart, the magnitude of the charge on the plates and the potential difference between them are: A) Q0, V0     B) Q0, V0   C) Q0, V0 D) 2Q0, V0 E) 2Q0, 2V0 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.The plates are pulled apart to a separation 2d while the capacitor remains connected to the battery.After the plates are 2d apart, the magnitude of the charge on the plates and the potential difference between them are: A) Q0, V0     B) Q0, V0   C) Q0, V0 D) 2Q0, V0 E) 2Q0, 2V0
B) Q0, V0 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.The plates are pulled apart to a separation 2d while the capacitor remains connected to the battery.After the plates are 2d apart, the magnitude of the charge on the plates and the potential difference between them are: A) Q0, V0     B) Q0, V0   C) Q0, V0 D) 2Q0, V0 E) 2Q0, 2V0
C) Q0, V0
D) 2Q0, V0
E) 2Q0, 2V0

F) A) and E)
G) A) and B)

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A 30- μ\mu F capacitor is charged to 40 V and then connected across an initially uncharged 20- μ\mu F capacitor.What is the final potential difference across the 30- μ\mu F capacitor?


A) 15 V
B) 24 V
C) 18 V
D) 21 V
E) 40 V

F) C) and E)
G) None of the above

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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:


A) Q0, C0 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: A) Q0, C0     B) Q0, C0   C) Q0, C0 D) 3Q0, C0 E) 3Q0, 3C0 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: A) Q0, C0     B) Q0, C0   C) Q0, C0 D) 3Q0, C0 E) 3Q0, 3C0
B) Q0, C0 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: A) Q0, C0     B) Q0, C0   C) Q0, C0 D) 3Q0, C0 E) 3Q0, 3C0
C) Q0, C0
D) 3Q0, C0
E) 3Q0, 3C0

F) D) and E)
G) A) and E)

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A 200-volt battery is connected to a 0.50-microfarad parallel-plate, air-filled capacitor.Now the battery is disconnected, with care taken not to discharge the plates.Some Pyrex glass is then inserted between the plates, completely filling up the space.What is the final potential difference between the plates? (The dielectric constant for Pyrex is κ\kappa = 5.6.)

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A 25- μ\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- μ\mu F capacitor is 36 V.What is the value of the capacitance of C?


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

F) None of the above
G) A) and B)

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A 3.0- μ\mu F capacitor charged to 40 V and a 5.0- μ\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- μ\mu F capacitor?


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

F) B) and E)
G) D) and E)

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A 4.0-mF capacitor initially charged to 50 V and a 6.0-mF capacitor charged to 30 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 6.0-mF capacitor?


A) 20 mC
B) 8.0 mC
C) 10 mC
D) 12 mC
E) 230 mC

F) A) and B)
G) A) and C)

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Which of the following materials has the highest dielectric constant?


A) air
B) Mylar
C) paper
D) Pyrex glass
E) water

F) A) and E)
G) C) and D)

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When a capacitor has a charge of magnitude 80 μ\mu C on each plate the potential difference across the plates is 16 V.How much energy is stored in this capacitor when the potential difference across its plates is 42 V?


A) 1.0 mJ
B) 4.4 mJ
C) 3.2 mJ
D) 1.4 mJ
E) 1.7 mJ

F) A) and B)
G) B) and D)

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Into the gap between the plates of a parallel plate capacitor of capacitance a slab of metal is inserted halfway between the plates filling one fourth of the gap between the plates.What is the resulting new capacitance? Into the gap between the plates of a parallel plate capacitor of capacitance a slab of metal is inserted halfway between the plates filling one fourth of the gap between the plates.What is the resulting new capacitance?   A)    B)    C)    D)    E)


A) Into the gap between the plates of a parallel plate capacitor of capacitance a slab of metal is inserted halfway between the plates filling one fourth of the gap between the plates.What is the resulting new capacitance?   A)    B)    C)    D)    E)
B) Into the gap between the plates of a parallel plate capacitor of capacitance a slab of metal is inserted halfway between the plates filling one fourth of the gap between the plates.What is the resulting new capacitance?   A)    B)    C)    D)    E)
C) Into the gap between the plates of a parallel plate capacitor of capacitance a slab of metal is inserted halfway between the plates filling one fourth of the gap between the plates.What is the resulting new capacitance?   A)    B)    C)    D)    E)
D) Into the gap between the plates of a parallel plate capacitor of capacitance a slab of metal is inserted halfway between the plates filling one fourth of the gap between the plates.What is the resulting new capacitance?   A)    B)    C)    D)    E)
E) Into the gap between the plates of a parallel plate capacitor of capacitance a slab of metal is inserted halfway between the plates filling one fourth of the gap between the plates.What is the resulting new capacitance?   A)    B)    C)    D)    E)

F) A) and B)
G) A) and C)

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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.)

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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.The plates are pulled apart to a separation 2d while the capacitor remains connected to the battery.After the plates are 2d apart, the capacitance of the capacitor and the magnitude of the charge on the plates are:


A) C0, Q0 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.The plates are pulled apart to a separation 2d while the capacitor remains connected to the battery.After the plates are 2d apart, the capacitance of the capacitor and the magnitude of the charge on the plates are: A) C0, Q0     B) C0, Q0   C) C0, Q0 D) 2C0, Q0 E) 2C0, 2Q0 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.The plates are pulled apart to a separation 2d while the capacitor remains connected to the battery.After the plates are 2d apart, the capacitance of the capacitor and the magnitude of the charge on the plates are: A) C0, Q0     B) C0, Q0   C) C0, Q0 D) 2C0, Q0 E) 2C0, 2Q0
B) C0, Q0 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.The plates are pulled apart to a separation 2d while the capacitor remains connected to the battery.After the plates are 2d apart, the capacitance of the capacitor and the magnitude of the charge on the plates are: A) C0, Q0     B) C0, Q0   C) C0, Q0 D) 2C0, Q0 E) 2C0, 2Q0
C) C0, Q0
D) 2C0, Q0
E) 2C0, 2Q0

F) A) and E)
G) A) and D)

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A 0.16 pF parallel-plate capacitor is charged to 10 V.Then the battery is disconnected from the capacitor.When 1.00 *107 positive charges of magnitude |e| are now placed on the positive plate of the capacitor, the voltage between the plates changes by:


A) (-5.0 V.)
B) (-1.1 V.)
C) 0 V.
D) +1.1 V.
E) +5.0 V.

F) None of the above
G) C) and D)

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


A) 12 V
B) 18 V
C) 15 V
D) 21 V
E) 24 V

F) A) and B)
G) None of the above

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Which of the following statements is incorrect?


A) Capacitance is always positive.
B) The symbol for potential difference between the plates of a capacitor is Which of the following statements is incorrect? A) Capacitance is always positive. B) The symbol for potential difference between the plates of a capacitor is   C) Water is a polar molecule. D) When a dielectric is placed in a capacitor it serves to reduce the electric field. E) Non-polar molecules cannot be used for dielectric material in a capacitor.
C) Water is a polar molecule.
D) When a dielectric is placed in a capacitor it serves to reduce the electric field.
E) Non-polar molecules cannot be used for dielectric material in a capacitor.

F) A) and C)
G) D) and E)

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