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Byju's Answer

Standard XII

Physics

Potential Energy of a System of Multiple Point Charges

Three charges...

Question

Three charges, each +q, are placed at the corners of an isosceles triangle ABC of sides BC and AC, 2a. D and E are the mid points of BC and CA. The work done in taking a charge Q from D to E is :

\frac{3 q Q}{4 π ε_{0} a}

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\frac{3 q Q}{8 π ε_{0} a}

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\frac{q Q}{4 π ε_{0} a}

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zero

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Solution

The correct option is D zero
$W_{D \to E} = Q [V_{E} - V_{D}]$
$∵ V_{E} = V_{D} \Rightarrow W_{D \to E} = 0$

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Three charges, each +q, are placed at the corners of an isosceles triangle ABC of sides BC and AC, 2a. D and E are the mid points of BC and CA. The work done in taking a charge Q from D to E is :

The correct option is D zeroWD→E=Q[VE−VD]∵VE=VD⇒WD→E=0

The correct option is D zero
$W_{D \to E} = Q [V_{E} - V_{D}]$
$∵ V_{E} = V_{D} \Rightarrow W_{D \to E} = 0$