Walker, Halliday & Resnick — Maxwell's Equations; Magnetism of Matter: Problem 14

14 The magnitude of the electric field between the two circular parallel plates in Fig. 32-20 is \( E = (4.0 \times 10^5) - (6.0 \times 10^4 t) \), with \( E \) in volts per meter and \( t \) in seconds. At \( t = 0 \), \( \vec{E} \) is upward. The plate area is \( 6.0 \times 10^{-2} \text{ m}^2 \). For \( t \ge 0 \), what are the (a) magnitude and (b) direction (up or down) of the displacement current between the plates and (c) is the direction of the induced magnetic field clockwise or counterclockwise in the figure?