In the given circuit, the switch S is closed at time t = 0 . The charge Q on the capacitor at any instant t is given by `Q(t) = Q(1-e^(-alphat))`. Find the value of `Q_0` and `alpha` in terms of given parameters as shown in the circuit.
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Explanation

`Q_0` is the steady- state charge stored in the capacitor.
`rArr Q_0 = C["potential difference across the capacitor in steady state"]`
`=C ["steady state current through "R_2] (R_2)`
`=C((V)/(R_1+R_2))R_2 = (CVR_2)/(R_1+R_2), alpha is (1)/(tau_e) = (1)/(CR_("net"))`