Electrostatic Potential And Capacitance

Question

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

$fraction numerator eqQ over denominator 8 πε subscript straight o straight a end fraction$
$fraction numerator qQ over denominator 4 πε subscript straight o straight a end fraction$

zero

$fraction numerator 3 qQ over denominator 4 πε subscript straight o straight a end fraction$

Solution

zero

Here, AC = BC

V_D = V_E = V
W = Q [ V_E-V_D]
W = Q [V-V]
W = 0