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Understanding Electrostatic Potential

A charge Q is...

Question

A charge Q is placed at the centre O of a square ABCD of side a as shown in Fig. 20.15. The work done to move a charge q from A to B is

\frac{q Q}{4 π ϵ_{0} a}

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\frac{\sqrt{2} q Q}{4 π ϵ_{0} a}

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\frac{q Q}{2 π ϵ_{0} a}

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Zero

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Solution

The correct option is D Zero
Work done =charge $\times$ potential difference.
$W_{A \to B} = q (V_{B} - V_{A})$
Since points A and B are at the same distance from charge Q, $V_{A} = V_{B}$ . Hence, work done is zero, which is choice (d)

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A charge Q is placed at the centre O of a square ABCD of side a as shown in Fig. 20.15. The work done to move a charge q from A to B is

The correct option is D ZeroWork done =charge × potential difference. WA→B=q(VB−VA) Since points A and B are at the same distance from charge Q, VA=VB. Hence, work done is zero, which is choice (d)

The correct option is D Zero
Work done =charge $\times$ potential difference.
$W_{A \to B} = q (V_{B} - V_{A})$
Since points A and B are at the same distance from charge Q, $V_{A} = V_{B}$ . Hence, work done is zero, which is choice (d)