In the RC circuit in Figure (a), the capacitor is initially uncharged and the switch is closed

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In the RC circuit in Figure (a), the capacitor is initially uncharged and the switch is closed at time t = 0.

(a) What is the power supplied by the battery as a function of time?

(b) What is the power dissipated in the resistor as a function of time?

(c) What is the rate at which energy is stored in the capacitor as a function of time? Plot your answers to parts (a), (b), and (c) versus time on the same graph.

(d) Find the maximum rate at which energy is stored in the capacitor as a function of the battery voltage e and the resistance R. At what time does this maximumoccur?

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