First slide

Electrostatic force

Question

A charge Q is divided into two parts of q and $Q - q$ . If the coulomb repulsion between them when they are separated is to be maximum, the ratio of $\frac{Q}{q}$ should be

Easy

A

2
B

1/2
C

4
D

1/4

Solution

Let separation between two parts be $r \Rightarrow F = k . q \frac{(Q - q)}{r^{2}}$
For F to be maximum $\frac{dF}{dq} = 0 \Rightarrow \frac{Q}{q} = \frac{2}{1}$

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