A square loop of wire of side length \(a\) and resistance \(R\) lies a distance \(x\) to the right of a long, straight wire that carries a current \(I\). The straight wire lies in the plane defined by the loop, parallel to one side of the square, and the current direction in the wire is upward. The loop is held stationary, and the current in the wire varies sinusoidally as \(I=I_{\max } \sin (\omega t)\). Derive an expression for the emf induced in the loop as a function of \(I_{\max }, \omega\), \

(a, x\), and \(t\).