Consider a circuit consisting of a resistor R and a capacitor C in series with a battery of emf I? and a switch (Fig. 11.17). The capacitor is initially uncharged and the switch is closed at time t = 0. By considering the potential drop across each of the components of the circuit, verify that the charge Q on the capacitor has the form Q = Ce(1-exp(-r/RC)) (a) What is the current flowing in the circuit? (b) What is the power supplied by the battery as a function of t ? (c) What is the power dissipated in the resistor as a function of t ? (d) What is the rate at which energy is stored in the capacitor as a function of t ?
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