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In Fig., a square loop PQRS of side a an...

In Fig., a square loop PQRS of side a and resistance r is placed near an infinitely long wire carrying a constant current I. The sides PQ and RS are parallel to the wire. The wire and the loop are in the same plane. The loop is rotated by `180^(@)` about an axis parallel to the long wire and passing through the midpoints of the sides QR and PS. Find the total amount of charge which passes through any point of the loop during the rotation

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`(mu_(0))/(pi r) I a (ln 2)`
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