Equipotential Surfaces in a Capacitor Part A Is the electric potential energy of

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Equipotential Surfaces in a Capacitor

Part A

Is the electric potential energy of a particle with charge q the same at all points on an equipotential surface?

Is the electric potential energy of a particle with charge  the same at all points on an equipotential surface?

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Correct

For a particle with charge q on an equipotential surface at potential V, the electric potential energy has a constant value qV.

Part B

What is the work required to move a charge around on an equipotential surface at potential V with constant speed?

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Part C

What is the work done by the electric field on a charge as it moves along an equipotential surface at potential V?

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Part D

The work WE done by the uniform electric field E?  in displacing a particle with charge q along the path d?  is given by

WE=qE? ?d? =q|E? ||d? |cos?,

where ? is the angle between E?  and d? . Since in general, E?  is not equal to zero, for points on an equipotential surface, what must ? be for WE to equal 0?

Express your answer in radians.

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Now assume that a parallel-plate capacitor is attached across the terminals of a battery as shown in (Figure 1) . The electric field E?  in the region between the plates points in the negative z direction, from higher to lower voltage.

Part E

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Part F

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Explanation / Answer

1. yes

2. Always remember work done across equipotential surface is always ZERO because we know that W= qdV and here dV=0.

3. Also zero.

4. as we know here WE=0 hence from W= Ed cos theta here costheta=0 and theta=90 deg.

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