electrostatic-potential-and-capacitance Question 3

Question: Q. 4. Figure shows some equipotential lines distributed in space. A charged object is moved from point $A$ to point $B$.

(a) The work done in Figure (I) is the greatest.

(b) The work done in Figure (II) is least. (c) The work done is the same in Figure (I), Figure (II) and Figure (III).

(d) The work done in Figure (III) is greater than Figure (II), but equal to that in Figure (I).

[NCERT Exemplar]

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Solution:

Ans. Correct option : (c)

Explanation: The work done by the electrostatic force is given by $W_{12}=q\left(V_{2}-V_{1}\right)$

As the potential difference between $A$ and $B$ in all three figures are equal, $20 \mathrm{~V}$, so work done by any charge in moving from $A$ to $B$ surface will be equal.

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