A parallel-plate capacitor is being charged. The capacitor consists of two circular parallel plates of area A and separation d. (a) Show that the displacement current in the capacitor gap has the same value as the conduction current in the capacitor leads. (b) What is the direction of the Poynting vector in the region of space between the capacitor plates? (c) Calculate the Poynting vector S this region and show that the flux of S this region is equal to the rate of change of the energy stored in the capacitor.
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