Exam 20: Electric Potential and Capacitance

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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 plates are pulled apart to a separation 2d without discharging them.After the plates are 2d apart,the new capacitance and the potential difference between the plates are

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Determine the equivalent capacitance of the combination shown when C = 15 mF. Determine the equivalent capacitance of the combination shown when C = 15 mF.

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How much energy is stored in the 50- μ\mu F capacitor when Va-Vb = 22V?  How much energy is stored in the 50- \mu F capacitor when V<sub>a</sub>-V<sub>b</sub> = 22V?

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A charge of 20 nC is distributed uniformly along the y axis from y = 0 to y = 4 m.Which of the following integrals is correct for the electric potential (relative to zero at infinity)at the point x = +3 m on the x axis?

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Identical point charges (+20 μ\mu C)are placed at the corners of an equilateral triangle with sides of 2.0-m length.How much external energy is required to bring a charge of 45 μ\mu C from infinity to the midpoint of one side of the triangle?

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Determine the energy stored in C2 when C1 = 15 μ\mu F,C2 = 10 μ\mu F,C3 = 20 μ\mu F,and V0 = 18 V.  Determine the energy stored in C<sub>2</sub> when C<sub>1</sub> = 15 \mu F,C<sub>2</sub> = 10  \mu F,C<sub>3</sub> = 20  \mu F,and V<sub>0</sub> = 18 V.

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A proton (m = 1.7 *10 - 27 kg,q = +1.6 *10 - 19 C)starts from rest at point A and has a speed of 40 km/s at point B.Only electric forces act on it during this motion.Determine the electric potential difference VB - VA.

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An electron is released form rest in a region of space where a uniform electric field is present.Joanna claims that its kinetic and potential energies both increase as it moves from its initial position to its final position.Sonya claims that they both decrease.Which one,if either,is correct?

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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 plates are pulled apart to a separation 2d without discharging them.After the plates are 2d apart,the magnitude of the charge on the plates and the potential difference between them are

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Charge of uniform density 12 nC/m is distributed along the x axis from x = 2.0 m to x = 5.0 m.What is the electric potential (relative to zero at infinity)at the origin (x = 0)?

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A 15- μ\mu F capacitor and a 25- μ\mu F capacitor are connected in parallel,and charged to a potential difference of 60 V.How much energy is then stored in this capacitor combination?

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A particle (charge = 40 μ\mu C)moves directly toward a second particle (charge = 80 μ\mu C)which is held in a fixed position.At an instant when the distance between the two particles is 2.0 m,the kinetic energy of the moving particle is 16 J.Determine the distance separating the two particles when the moving particle is momentarily stopped.

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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?

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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?

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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?

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A charge is placed on a spherical conductor of radius r1.This sphere is then connected to a distant sphere of radius r2 (not equal to r1)by a conducting wire.After the charges on the spheres are in equilibrium,

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A particle (charge = Q)is kept in a fixed position at point P,and a second particle (charge = q)is released from rest when it is a distance R from P.If Q = +2.0 mC,q = -1.5 mC,and R = 30 cm,what is the kinetic energy of the moving particle after it has moved a distance of 10 cm?

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A charge of 18 nC is uniformly distributed along the y axis from y = 3 m to y = 5 m.Which of the following integrals is correct for the electric potential (relative to zero at infinity)at the point x = +2 m on the x axis?

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A proton (mass = 1.67 *10 - 27 kg,charge = 1.60 *10 - 19 C)moves from point A to point B under the influence of an electrostatic force only.At point A the proton moves with a speed of 50 km/s.At point B the speed of the proton is 80 km/s.Determine the potential difference VB-VA.

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Determine the charge stored by C1 when C1 = 20 μ\mu F,C2 = 10 μ\mu F,C3 = 30 μ\mu F,and V0 = 18 V.  Determine the charge stored by C<sub>1</sub> when C<sub>1</sub> = 20  \mu F,C<sub>2</sub> = 10  \mu F,C<sub>3</sub> = 30  \mu F,and V<sub>0</sub> = 18 V.

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