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A force of 45 xx 10^(-3) N acts between ...

A force of `45 xx 10^(-3) N` acts between two like charge bodies separated by 4 m in the air. If the magnitude of one of charges is `8 muC`, find the magnitude of the other charge.

Text Solution

Verified by Experts

Given `q_(1) = 8 muC = 8 xx 10^(-6)C`
Distance between two charges, `(r ) = 4 m`
Electrostatic force of repulsion , `(F) = 45 xx 10^(-3) N`
`1/(4piepsi_(0)) = 9 xx 10^(9) N m^(2)C^(-2)`
`q_(2) = ?`
`F = 1/(4 pi epsi_(0)) (q_(1)q_(2))/(r^(2))`
`:. 45 xx 10^(-3) = 9 xx 10^(9) xx (8 xx 10^(-6) xx q_(2))/((4)^(2)) = rArr q_(2) = 10 muC`
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