Problem 3. Consider a discharging capacitor made out of two identical circular conducting plates of radius a. The plates are separated by a distance d (See figure below). The bottom plate carries a negative charge Q () and the top plate carries a positive charge +Q(t). The charge on the capacitor is decreasing linearly in time. The current I through the wire is in the positive k-direction. In the following questions express your answers in terms of Q(t),1,a, 0, 1o, 7,d, , 8, and k as needed. You may neglect all edge effects. _ (a) Derive an expression for the magnitude and direction of the electric field E(r,t) at time between the plates. Clearly show your work. (b) Derive an expression for the magnitude of the magnetic field B(r,t) at time inside the capacitor at a distance r