Charge $ Q $, is divided into two parts which are then kept some distance apart. The force between them will be maximum if the two parts are having the charge -

Question

Charge $ Q $, is divided into two parts which are then kept some distance apart. The force between them will be maximum if the two parts are having the charge -, $ Q / 2 $ each, $ Q / 4 $ and $ 3 Q / 4 $, $ Q / 3 $ and $ 2 Q / 3 $, $ e $ and $ (Q-e) $, where $ e= $ electron charge

MARKS App · Accepted Answer

Let charges are q and ( Q − q ) . force F = k q ( Q – q ) r 2 = k r 2 ( q Q − q 2 ) For maximum force d F d q = 0 ∴ k r 2 [ Q − 2 q ] = 0 ∴ q = Q 2 ∴ Charge of other part = Q − q = Q − Q 2 = Q 2

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