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Question

In a region of constant potential:

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

Constant
potential $$\Rightarrow \mathrm{dV}=0$$ so by relation $$E=\dfrac{-d V}{d r},
\mathrm{E}=0$$


i.e., the
E.F. is not uniform discards answer (a) and agree which answer (b).


As potential
may be outside the charge also so there can be no charge inside the region of
constant potential. It verifies answer (c).


If a charge
is placed in outside region, potential difference in region will not be changed
or electric field will not be changed. It makes answer (d) false.

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