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Question

Figure shows two parallel surfaces A and B at the same potential, kept at a small distance r from each other. A point charge q is taken from the surface A to B.
The amount of work done is.

A
$$ \frac{q^2}{2 \pi \varepsilon_0 r } $$
B
$$ \frac{q^2}{8 \pi \varepsilon_0 r } $$
C
$$ \frac{q^2}{4 \pi \varepsilon_0 r } $$
D
Zero
Solution
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Correct option is D. Zero
Work done is given by,
$$ W=q(V_f-V_i)=0$$, since $$ V_f=V_i $$

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