Question

1 Show that the discharge of a capacitor obeys the exponential equation q(t) = 2.e-t/RC And that the instantaneous current in the circuit obeys the expression 1 = Q RC e

Answer 1

Solution

A differential equation can be formed by applying Kirchoffs voltage rule in the case of a discharging capacitor via a resistance. Further it is only a process of integration to obtain the exponential decay solution.

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