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A long straight conductor carries curren...

A long straight conductor carries current `i_(1)` A wire PQ carrying current `i_(2)` is placed as shown. The net force on PQ is `(2 mu_(0) i_(1)i_(2))/(pi) l nx`, then write the value of 'x'

Text Solution

Verified by Experts

The correct Answer is:
x=2

`dF = B i_(2) dx`
`= (mu_(0)i_(1)i_(2))/(2pi(a+x cos60^(@)))dx`
`F= underset(0) overset(6a)(int) dE =(mu_(0)i_(1)i_(2))/(pi) l n((4a)/(a))=(2mu_(0)i_(1)i_(2))/(pi)l n2`
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