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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

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The magnetic field produced by long straight wire carrying current of 25A rests on a table on small wire `B=(mu_(0)I)/(2pih)`
the magnetic force on small conductor is
`F=Bilsintheta=Bil`
Force applied on PQ balance the weight of small current carrying wire.
`F=mg=(mu_(0)I^(2)l)/(2pih)`
`h=(mu_(0)I^(2)l)/(2pimg)=(4pixx10^(-7)xx25xx25xx1)/(2pixx2.5xx10^(-3)xx9.8)=51xx10^(-4)`
`h=0.51cm`
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