Two charges of magnitude + q and -,3q are placed 100,cm apart. distance from + q between charges whe

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2. Electric Potential and Capacitance

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Two charges of magnitude $+ q$ and $-\,3q$ are placed $100\,cm$ apart. The distance from $+ q$ between the charges where the electrostatic potential is zero is.......$cm$

A

$25$

B

$50$

C

$75$

D

$80$

(AIIMS-2011)

Solution

Suppose $\mathrm{x}$ is the required distance from $\mathrm{q}$. then

$\frac{1}{4 \pi \varepsilon_{0}}\left[\frac{9}{x}+\frac{(-3 q)}{1-x}\right]=0$

After solving for $x,$ we get $x=\frac{1}{4} \,m$

Standard 12

Physics

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