A rectangular loop of wire is oriented w...

A rectangular loop of wire is oriented with the left corner at the origin, one edge along X-axis and the other edge along Y-axis as shown in the figure. A magnetic field is directed into the page and has a magnitude that is given by B = `alpha` y where `alpha` is a constant. Find the total magnetic force on the loop if it carries current i.

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`F = alpha a^2 i hat j`

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