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Q.

‘n’ charges Q, 4Q, 9Q, 16Q ..... are placed at distances of 1, 2, 3 ..... metre from a point ‘0’ on the same straight line. The electric intensity at ‘0’ is

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a

$\frac{Q}{4 π \in_{0} n^{2}}$

b

$\frac{Q}{4 π \in_{0} n}$

c

Infinity

d

$\frac{nQ}{4 {πϵ}_{0}}$

answer is D.

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Detailed Solution

$E = \frac{1}{4 π \in_{0}} . [\frac{Q_{1}}{x_{1}^{2}} + \frac{Q_{2}}{x_{2}^{2}} + \dots . + \frac{Q_{n}}{x_{n}^{2}}]$

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