A current I(1) = I, cos(ct) flows through a long solenoid with a turns per meter and diameter d, where I, is the current amplitude and w is the angular frequency. Derive an expression for the magnitude of the induced electric field Ein(r. ) inside the solenoid as a function of the distance r from the solenoid's central axis and the time r. Your expression may include the variables Jo. w. d, n, and the permeability of free space po- Ein(r. 1) = Derive an expression for the magnitude of the induced electric field Eau(r, () outside the solenoid as a function of r and t. Your expression may include the variables lo, c, d, n, and po- Eout(r.() =