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A currentof 5.0 A is flowing in eah of t...

A currentof 5.0 A is flowing in eah of the two parallel conductors of infinite length separated by certain distance apart in vacuum in the same directions. Each conductor expereinces a force of `2xx10^-4N m^-1` due to the other. Find the separation between the two conductors.

Text Solution

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`I_(1) = I_(2) = 5*0A`
` F = 2 xx 10^(-4)Nm^(-1)`
`r = ?`
As `F = (mu_(0))/(4pi) (2I_(1)I_(2))/(r)`
`rArr 2 xx 10^(-4) = 10^(-7) xx (2xx5xx5)/(r)`
`rArr r = (50 xx 10^(-7))/(2xx10^(-7)) = 25 xx 10^(-3)` m
`rArr r = 25 xx 10^(-1)` cm ` = 2*5`cm
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