A point charge of 10,μ C is placed at origin. At what location on X -axis should a point charge of

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1. Electric Charges and Fields

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A point charge of $10\,\mu C$ is placed at the origin. At what location on the $X$-axis should a point charge of $40\,\mu\,C$ be placed so that the net electric field is zero at $x =2\,cm$ on the $X$-axis ?

A

$x =6\,cm$

B

$x=4\,cm$

C

$x =8\,cm$

D

$x=-4\,cm$

(JEE MAIN-2023)

Solution

$E _{ P }=\frac{ K \times 10}{2^2}-\frac{ K \times 40}{\left( x _0-2\right)^2}=0$

$\frac{1}{2}=\frac{2}{x_0-2}$

$x_0-2=4$

$x_0=6\,cm$

Standard 12

Physics

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