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A Circuit Within a Circuit. Fig. 29.47 shows a small circuit within a larger one, both lying on the surface of a table. The switch is closed at t = 0 with the capacitor initially uncharged. Assume that the small circuit has no appreciable effect on the larger one. (a) What is the direction (a to b or to a) of the current in the resistor r (i) the instant after the switch is closed and (ii) one time constant after the switch is closed? (b) Sketch a graph of the current in the small circuit as a function of time, calling clockwise positive.
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