Three charges, each +q, are placed at the corners of an isosceles triangle ABC as shown in figure. AB = AC; D and E are midpoints of BC and AC, respectively. Work done in taking a charge Q from D to E is: [Diagram: Image]
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Question

Three charges, each +q, are placed at the corners of an isosceles triangle ABC as shown in figure. AB = AC; D and E are midpoints of BC and AC, respectively. Work done in taking a charge Q from D to E is: [Diagram: Image]

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G1 Physics · Accepted Answer

Step 1: Use the figure symmetry and equal-distance pairs to compare potential at D and E. Step 2: Source solution shows potentials are equal: Vᴅ = Vᴇ. Step 3: Work done W = Q(Vᴇ − Vᴅ) = 0.