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Question

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
$$5 N/C$$
B
$$0.5 N/C$$
C
$$1 N/C$$
D
zero
Solution
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Correct option is D. zero
Using the expression:
$$E=-\dfrac{dV}{dr}$$

Since the potential 'V' is constant, change in potential $$dV$$ is zero for any displacement $$dr$$.
Hence the electric field will be zero in the region.

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