Exam 20: Electric Potential and Capacitance

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An infinite plane of charge with σ=+55.5pC m2\sigma = + 55.5 \frac { p C } { \mathrm {~m} ^ { 2 } } is tilted at a 45 °\degree angle to the vertical direction as shown below.The potential difference,VB -VA,in volts,between points A and B,a 4.50 m distance apart,is  An infinite plane of charge with  \sigma = + 55.5 \frac { p C } { \mathrm {~m} ^ { 2 } }  is tilted at a 45 \degree  angle to the vertical direction as shown below.The potential difference,V<sub>B</sub> -V<sub>A</sub>,in volts,between points A and B,a 4.50 m distance apart,is

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A 60- μ\mu C charge is held fixed at the origin and a -20- μ\mu C charge is held fixed on the x axis at a point x = 1.0 m.If a 10- μ\mu C charge is released from rest at a point x = 40 cm,what is its kinetic energy the instant it passes the point x = 70 cm?

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What is the equivalent capacitance of the combination shown? What is the equivalent capacitance of the combination shown?

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A charge per unit length given by λ\lambda (x)= bx,where b = 12 nC/m2,is distributed along the x axis from x = +9.0 cm to x = +16 cm.If the electric potential at infinity is taken to be zero,what is the electric potential at the point P on the y axis at y = 12 cm?

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If VA - VB = 50 V,how much energy is stored in the 36- μ\mu F capacitor?  If V<sub>A</sub> - V<sub>B</sub> = 50 V,how much energy is stored in the 36- \mu F capacitor?

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Determine the energy stored in the 60- μ\mu F capacitor.  Determine the energy stored in the 60- \mu F capacitor.

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A rod (length = 2.0 m)is uniformly charged and has a total charge of 5.0 nC.What is the electric potential (relative to zero at infinity)at a point which lies along the axis of the rod and is 3.0 m from the center of the rod?

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What is the equivalent capacitance of the combination shown? What is the equivalent capacitance of the combination shown?

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Which of the following is not a capacitance?

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A 0.120 pF parallel-plate capacitor is charged to a potential difference of 10.0 V and then disconnected from the battery.A cosmic ray burst creates 1.00*106 electrons and 1.00 * 106 positive charges between the plates.If the charges do not recombine,but reach the oppositely charged plates,by how much is the potential difference between the capacitor plates reduced?

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What is the total energy stored in the group of capacitors shown if the charge on the 30- μ\mu F capacitor is 0.90 mC?  What is the total energy stored in the group of capacitors shown if the charge on the 30- \mu F capacitor is 0.90 mC?

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Several charges in the neighborhood of point P produce an electric potential of 6.0 kV (relative to zero at infinity)and an electric field of 36i^36 \hat { \mathbf { i } } N/C at point P.Determine the work required of an external agent to move a 3.0- μ\mu C charge along the x axis from infinity to point P without any net change in the kinetic energy of the particle.

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

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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

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Determine the energy stored in the 40- μ\mu F capacitor.  Determine the energy stored in the 40- \mu F capacitor.

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A particle (mass = 6.7*10 - 27 kg,charge = 3.2 *10 - 19 C)moves along the positive x axis with a speed of 4.8 *105 m/s.It enters a region of uniform electric field parallel to its motion and comes to rest after moving 2.0 m into the field.What is the magnitude of the electric field?

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A particle (q = +5.0 μ\mu C)is released from rest when it is 2.0 m from a charged particle which is held at rest.After the positively charged particle has moved 1.0 m toward the fixed particle,it has a kinetic energy of 50 mJ.What is the charge on the fixed particle?

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Four identical point charges (+4.0 ±\pm C)are placed at the corners of a square which has 20-cm sides.How much work is required to assemble this charge arrangement starting with each of the charges a very large distance from any of the other charges?

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