Question

The parallel plate capacitor is being charged as shown in the Figure. (a) Derive an expression...

The parallel plate capacitor is being charged as shown in the Figure.

(a) Derive an expression for the induced magnetic field in both of the regions, r < R and r > R.

(b) Find B at r = R for dE/dt = 1012 V/m-s and R = 5.0 cm.

(c) What is the displacement current in Amperes?

(d) What is the direction of the Poynting vector?

(e) Show that the rate at which energy flows into the volume between the plates, as calculated by integrating the Poynting vector over the cylindrical boundary of this volume, is equal to the rate of increase in the electrical energy density stored in this volume. Ignore fringing of the electric field at the edges of the capacitor plates

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