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Question

# Consider a uniform electric field in the zˆ direction. The potential is a constant

A
for any x for a given z
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B
for any y for a given z.
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C
in all space.
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D
on the xy plane for a given z.
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Solution

## The correct option is D on the x−y plane for a given z.We know that equipotential surfaces are perpendicular to the direction electric field lines. Here the uniform electric field is in +z−direction. The electric field in z direction suggests that equipotential surfaces are in x−y plane. Therefore, the potential is a constant for any x for a given z, for any y for a given z and, on the x−y plane. Final Answer: (b),(c),(d)

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