Three charges are located in the x-y plane (see plot below), with Q 1 = -5.00 ?C

Question

Three charges are located in the x-y plane (see plot below), with Q1 = -5.00 ?C, Q2 = 3.00 ?C and Q3 = -5.00 ?C. Note that the charges are located at grid intersections points.

Calculate the total work required (by external forces) to transport Q1 and Q2 from their location to infinity.

Three charges are located in the x-y plane (see plot below), with Q1 = -5.00 ?C, Q2 = 3.00 ?C and Q3 = -5.00 ?C. Note that the charges are located at grid intersections points. Calculate the total work required (by external forces) to transport Q1 and Q2 from their location to infinity.

Explanation / Answer

When Q1 and Q2 are moved to infinity, basically all the charges are at infinity w.r.t each other. Thus work done is equal to negative of net PE of the system.

net PE = kQ1Q2/r12 + kQ2Q3/r23 + kQ1Q3/r13 = -0.0276246 J

Thus work required = 0.0276246 J

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