Force between an Infinitely Long Wire and a Square Loop?
A square loop of wire with a side length of ( a ) carries a current ( I_1 ). The center of the loop is positioned a distance ( d ) from an infinitely long wire that carries a current ( I_2 ). Both the infinite wire and the square loop lie in the same plane; two sides of the square loop are parallel to the wire, while the other two sides are perpendicular to it. What is the magnitude of the net force acting on the loop? Please express the force in terms of ( I_1 ), ( I_2 ), ( a ), ( d ), and ( \mu_0 ).
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