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

1. 3qQ / 8πϵ₀a
2. qQ / 4πϵ₀a
3. zero
4. 3qQ / 4πϵ₀a

Correct answer: zero

Solution

The potential at points D and E due to the charges is the same because they are equidistant from the charges at the vertices of the triangle. Since the potential difference is zero, no work is done in moving the charge Q from D to E.

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