Question

Two identical charges repel each other with a force equal to 10 mg wt when they are 0.6 m apart in air ( . The value of each charge is

Answer 1

The identical charges are 2 μC.

Explanation:

It is given that, two identical charges repel each other with a force equal to 10 mg wt when they are 0.6 m apart in air.

Force between charges is 10 mg wt,$F =10\times 10^{-3}\times 10\ m/s^2=0.1\ N$

The formula of the electric force is given by :

$F=\dfrac{kq^2}{r^2}\\\\q=\sqrt{\dfrac{Fr^2}{k}} \\\\q=\sqrt{\dfrac{0.1\times (0.6)^2}{9\times 10^9}} \\\\q=2\times 10^{-6} \\\\q=2\mu C$

So, the identical charges are 2 μC.

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