A certain charge Q is divided into two parts q and ( Q - q ) . How should the charges Q and q be divided so that q and ( Q - q ) placed at a certain distance apart experience maximum electrostatic repulsion?

Question

A certain charge Q is divided into two parts q and ( Q - q ) . How should the charges Q and q be divided so that q and ( Q - q ) placed at a certain distance apart experience maximum electrostatic repulsion?, Q = q 2, Q = 2 q, Q = 4 q, Q = 3 q

MARKS App · Accepted Answer

F q = k q ( Q - q ) L 2 = k L 2 q Q - q 2 d F d q = 0 when force is maximum d F d q = k L 2 [ Q - 2 q ] = 0 ⇒ Q - 2 q = 0 ⇒ Q = 2 q

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