Question: Problem 3 : Consider a small square loop of wire of side length ( a ) , carrying a current ( I

Problem 3: Consider a small square loop of wire of side length \( a \), carrying a current \( I \). It lies in the same plane as (and with an edge parallel to) an infinite wire carrying a current \( I^{\prime}\). The near edge of the square is a distance \( d \) from the inifinite wire.
(a): Calculate the magnetic force on the square by finding the force on each side.
(b): Find the magnetic dipole moment \(\mathbf{m}\) of the square. Assuming that \( a \ll d \), use \(\mathbf{F}=\boldsymbol{
abla}(\mathbf{m}\cdot \mathbf{B})\) to find the force on the square. (Here \(\mathbf{B}\) is the field from just the infinite wire.) Compare your result with that of part (a).
Problem 3 : Consider a small square loop of wire

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