A long solenoid of radius a with n turns per unit length is carrying a time-dependent current I(t) = I0sin(ωt) where I0 and ω are constants. The solenoid is surrounded by a wire of resistance R that has three circular loops of radius b with b > a. Find the magnitude of current induced in the outer loops at time t = 0. (Use the following as necessary: a, b, n, I0, R, μ0, and ω.) Iouter =