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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:

eqQ8πϵ₀a

zero

3qQ4πϵ₀a

qQ4πϵ₀a

Solution:

AC = BC
VD = VE
W = Q(VE - VD)
W = 0