Question

A charge of \(0.8\) coulomb is divided into two charges \(Q_{1}\) and \(Q_{2}\). These are kept at a separation of \(30 \mathrm{~cm}\). The force on \(Q_{1}\) is maximum when
(A) \(Q_{1}=Q_{2}=0.4 \mathrm{C}\)
(B) \(Q_{1} \approx 0.8 \mathrm{C}, Q_{2}\) negligible
(C) \(Q_{1}\) negligible, \(Q_{2} \approx 0.8 \mathrm{C}\)
(D) \(Q_{1}=0.2 \mathrm{C}, Q_{2}=0.6 \mathrm{C}\)

Answer 1

Ans(A)

Let the two parts be \((0.8-q)\) and \(q\)$$
F=\frac{k(0.8-q) q}{r^{2}}
$$
Putting \(\frac{d F}{d q}=0\) we get \(q=0.4 C\)

Answer 2

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