In a certain region of space with volume $0.2\ m^3$, the electric potential is found to be 5 V throughout. The magnitude of electric field in this region is:

A 0.5 N/C

B 1 N/C

C 5 N/C

D zero

The answer is D.

Solution

$E = -\frac{dV}{dr}$ Since the potential is constant (5 V) throughout the region, $\frac{dV}{dr} = 0$, so E = 0.

Concept field in a region of constant potential

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