13.7 Exercise 27

A long solenoid of radius $a$ with $n$ turns per unit length is carrying a time-dependent current $I \left(t\right) = I_{0} \text{sin} \omega t$ where $I_{0}$ and $\omega$ are constants. The solenoid is surrounded by a wire of resistance R that has two circular loops of radius b with $b > a$. Find the magnitude and direction of current induced in the outer loops at time $t = 0$.