Capacitor charge and current in a charging series RC circuit (18-27)

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Source emf

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Question

The product $R$ C (resistance multiplied by capacitance) is the time constant of the circuit.

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Review

Figure 18-18 graphs the charge $q$ and current $i$ as given by Equations 18-27. Both of these equations involve the exponential function, the irrational number $e = 2.71828\ldots$ raised to a power. (Note that $e$ is not the same as the magnitude of the charge on the electron, for which we unfortunately use the same symbol.)