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Physics, 25.02.2020 00:06 gabby5155

G A capacitor consists of two circular plates of radius a separated by a distance d << a. The capacitor is being charged using very thin wires that are connected to the (outside) centers of the circular plates and carry a constant current I. Assume the current flows out over the plates in such a way that the surface charge is always uniform, and is zero at t = 0. Neglect edge effects. a) Find the displacement current through the circle of radius s < a that is centered on the axis of the capacitor and in the plane midway between the plates. b) Show that your result from part (a) exactly equals the net current that is flowing onto the plates inside the circle of radius s. (This shows that the displacement current has just the right magnitude to complete the circuit across the capacitor.)

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