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Two particles each have the same mass but particle #1 has four times the charge of particle #2.Particle #1 is accelerated from rest through a potential difference of 10 V and attains speed v.Particle #2 is accelerated from rest also through a potential difference of 10 V.What speed does particle #2 attain?


A) 2v
B) v/2
C) v/4
D)
Two particles each have the same mass but particle #1 has four times the charge of particle #2.Particle #1 is accelerated from rest through a potential difference of 10 V and attains speed v.Particle #2 is accelerated from rest also through a potential difference of 10 V.What speed does particle #2 attain? A)  2v B)  v/2 C)  v/4 D)

E) A) and D)
F) B) and D)

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A proton (+1.6 × 10−19 C) moves 10 cm on a path in the direction opposite to a uniform electric field of strength 3.0 N/C.How much work is done on the proton by the electrical field?


A) 4.8 × 10−20 J
B) 1.6 × 10−20 J
C) zero
D) −4.8 × 10−20 J

E) A) and B)
F) B) and C)

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An electron (charge −1.6 × 10−19 C) moves on a path perpendicular to the direction of a uniform electric field of strength 3.0 N/C.How much work is done on the electron as it moves 20 cm?


A) 1.6 × 10−20 J
B) −4.8 × 10−20 J
C) 4.8 × 10−20 J
D) zero

E) A) and B)
F) All of the above

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Very large capacitors have been considered as a means for storing electrical energy.If we constructed a very large parallel-plate capacitor of plate area 10 m2 using paper (κ = 3.7) of thickness 1.0 mm as a dielectric,how much electrical energy would it store at a plate voltage of 5000 V? (ε0 = 8.85 × 10−12 C2/N⋅m2)


A) 4.1 J
B) 8200 J
C) 0.41 J
D) 82,000 J

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

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An ion is released from rest and moves due to the force from an electric field from a position in the field having a potential of 14 V to a position having a potential of 8 V.The ion:


A) can have either a positive or a negative charge.
B) must be neutral.
C) must have a positive charge.
D) must have a negative charge.

E) C) and D)
F) A) and B)

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Two capacitors with capacitances of 1.5 μC and 0.25 μF,respectively,are connected in parallel.The system is connected to a 40-V battery.What charge accumulates on the 1.5-μF capacitor?


A) 100 μC
B) 75 μC
C) 60 μC
D) 33 μC

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

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A uniform electric field,with a magnitude of 600 N/C,is directed parallel to the positive x axis.If the potential at x = 4.0 m is 1000 V,what is the change in potential energy of a proton as it moves from x = 4.0 m to x = 1.0 m? (qp = 1.6 × 10−19 C)


A) 500 J
B) 2.9 × 10−16 J
C) 1.9 × 10−16 J
D) 8.0 × 10−17 J

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

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When charges qa,qb,and qc are placed respectively at the corners a,b,and c of a right triangle,the potential at the midpoint of the hypotenuse is 20 V.When the charge qa is removed,the potential at the midpoint becomes 15 V.When,instead,the charge qb is removed (qa and qc both in place) ,the potential at the midpoint becomes 13 V.What is the potential at the midpoint if both charges qa and qc are removed?


A) 13 V
B) 7 V
C) 5 V
D) 8 V

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

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If C = 48 µF,determine the equivalent capacitance for the combination shown. If C = 48 µF,determine the equivalent capacitance for the combination shown.   A)  32 µF B)  48 µF C)  24 µF D)  28 µF


A) 32 µF
B) 48 µF
C) 24 µF
D) 28 µF

E) A) and D)
F) None of the above

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A proton (+1.6 × 10−19 C) moves 10 cm along the direction of an electric field of strength 4.0 N/C.The electrical potential difference between the proton's initial and ending points is:


A) 4.8 × 10−19 V.
B) 0.40 V.
C) 0.044 V.
D) 6.4 × 10−19 V.

E) A) and D)
F) B) and C)

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How much charge can be placed on a capacitor of plate area 20 cm2 with air between the plates before it reaches "atmospheric breakdown" where E = 3.0 × 106 V/m? (ε0 = 8.85 × 10−12 C2/N⋅m2)


A) 6.6 × 10−7 C
B) 2.7 × 10−8 C
C) 5.3 × 10−8 C
D) 4.0 × 10−7 C

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

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Two capacitors with capacitances of 1.0 μC and 0.50 μF,respectively,are connected in series.The system is connected to a 150 V battery.What charge accumulates on the 1.0-μF capacitor?


A) 50 μC
B) 150 μC
C) 100 μC
D) 33 μC

E) A) and B)
F) C) and D)

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A solid metal sphere of radius r is inside a metal concentric spherical shell of inner radius 2r and outer radius 3r.A charge is place on the solid metal sphere and it is found that the potential at its surface is V​1 (at r) and that the potential at the outer surface of the spherical shell is V​3 (at 3r) .In terms of V​1 and V​3,what is the potential at the inner surface of the metal shell (at 2r) ?


A) 3V​1/2
B) V​3
C) V​1
D) 2V​3/2

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

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A solid conducting sphere of 10 cm radius has a net charge of 40 nC.If the potential at infinity is taken as zero,what is the potential at the center of the sphere?


A) 360 μV
B) 3.6 × 103 V
C) >3.6 × 104 V
D) 36 μV

E) A) and D)
F) B) and C)

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An electron in a TV picture tube is accelerated through a potential difference of 20 kV before it hits the screen.What is the kinetic energy of the electron in electron volts? (1 eV = 1.6 × 10−19 J)


A) 6.25 × 1022 eV
B) 1.0 × 104 eV
C) 2.0 × 104 eV
D) 3.2 × 10−22 eV

E) A) and B)
F) A) and C)

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If C = 14 µF,what is the equivalent capacitance for the combination shown? If C = 14 µF,what is the equivalent capacitance for the combination shown?   A)  5.8 µF B)  6.5 µF C)  8.2 µF D)  7.0 µF


A) 5.8 µF
B) 6.5 µF
C) 8.2 µF
D) 7.0 µF

E) A) and B)
F) A) and C)

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If C1 = 25 µF,C2 = 20 µF,C3 = 10 µF,and ΔV0 = 42 V,determine the energy stored by C3. If C<sub>1</sub> = 25 µF,C<sub>2</sub> = 20 µF,C<sub>3</sub> = 10 µF,and ΔV<sub>0</sub> = 42 V,determine the energy stored by C<sub>3</sub>.   A)  3.6 mJ B)  0.32 mJ C)  1.8 mJ D)  0.40 mJ


A) 3.6 mJ
B) 0.32 mJ
C) 1.8 mJ
D) 0.40 mJ

E) A) and D)
F) A) and B)

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Two parallel-plate capacitors have the same plate area,and the gap between the plates is filled with a dielectric with a dielectric constant equal to 6.The gap in capacitor A is three times that in capacitor B.What is the ratio of the capacitance of A to B?


A) 1/3
B) The ratio is not given.
C) 3
D) 18

E) A) and B)
F) A) and C)

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A point charge of +3.0 μC is located at the origin of a coordinate system and a second point charge of −9.0 μC is at x = 1.0 m.At what point on the x axis is the electrical potential zero?


A) +0.33 m
B) −0.25 m
C) +0.25 m
D) +0.75 m

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

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What is the equivalent capacitance between points a and b? All capacitors are 2.0 μF. What is the equivalent capacitance between points a and b? All capacitors are 2.0 μF.   A)  1.2 µF B)  0.25 µF C)  4.0 µF D)  0.60 µF


A) 1.2 µF
B) 0.25 µF
C) 4.0 µF
D) 0.60 µF

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

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