The electric potential V is constant everywhere within a certain region of space

Question

The electric potential V is constant everywhere within a certain region of space. Which statement below is true?

The electric field is zero everywhere within the region. The electric potential V is constant everywhere within a certain region of space. Which statement below is true? The electric field is zero everywhere within the region. A charged particle placed within the region will experience an electric force. The electric field is also constant (but not zero) within the region. The electric field varies from place to place within the region.

Explanation / Answer

as V is constant everywhere ,

and E = dV/dx

Now , as V is constant

E = 0

hence ,The electric field is zero everywhere within the region.

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