Question

In a region of constant potential

• A. the electric field is zero
• B. there can be no charge inside the region.
• C. the electric field is uniform
• D. the electric field shall necessarily change if a charge is placed outside the region.

Answer 1

Answer: (A), (B)

there can be no charge inside the region.

The relation of electric field and potential is given by

$E=-\frac{dV}{dr}$

If $V$ is constant, then

$dV=0$

That implies E is zero.

If a charge is placed outside the region, the electric field does not change.

Final Answer: Option (b), (c)