Shows a system of three charged particles. If you move the particle of charge +q

Question

Shows a system of three charged particles. If you move the particle of charge +q from point A to point D, are the following quantities positive, negative, or zero: (a) the change in the electric potential energy of the three-particle system, (b) the work done by the net electrostatic force on the particle you moved (that is, the net force due to the other two particles), and (c) the work done by your force? (d) What are the answers to (a) through (c) if, instead, the particle is moved from B to C? In the situation of Question 7, is the work done by your force positive negative, or zero if the particle is moved (a) from A to B, (b) from A to C, and (c) from B to D? (d) Rank those moves according to the magnitude of the work by your force, greatest first.

Explanation / Answer

Here the given two charges are symmetric in nature i.e. both are equal charges and equidistant from A and D.

When the charge is moving from A to D then initially it is having a separation d from left charge and 4d from right charge at A. Now at B it has separation of d from right charge and 4d from left charge. So there is no change in potential energy.

so

dU= We = W = 0

The same will happen when it is moving from B to C

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