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A long straight wire carrying current of...

A long straight wire carrying current of `25A` rests on a table as shown in figure. Another wire PQ of length 1m, mass `2*5g` carries the same current but in the opposite direction. The wire PQ is free to slide up and down. To what height will PQ rise?

Text Solution

Verified by Experts

Here, `I_1=25A, I_2=25A, l=1m, m=2*5g=2*5xx10^-3kg`
In equilibrium position
`mg=(mu_0)/(4pi)(2I_1I_2l)/(h)`
or `h=(mu_0)/(4pi)(2I_1I_2l)/(mg)=(10^-7xx2xx25xx25xx1)/((2.5xx10^-3)xx9*8)=51xx10^-4m=0*51cm`
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