First slide

Electric field

Question

In the given figure distance of the point from A where the electric field is zero is

Easy

A

20 cm
B

10 cm
C

33 cm
D

none of these

Solution

Suppose electric field is zero at N ,
Hence $|\vec{E_{1}}| = |\vec{E_{2}}|$
$\Rightarrow \frac{k q_{1}}{x^{2}} = \frac{k q_{2}}{{(80 - x)}^{2}}$
$\Rightarrow x = \frac{80}{\sqrt{\frac{q_{2}}{q_{1}}} + 1} = \frac{80}{\sqrt{\frac{20}{10}} + 1} = 33 c m$

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