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. .

In the given circuit, the switch S is closed at time t = 0 . The charg

1.	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. .
Answer» Correct Answer - A::B::C Given `Q = Q_0 [1-e^(alphat)]` Here `Q_0 = Maximum charge and `alpha = 1/(tau_c) = 1/(C_(Req))` Now the maximum charge `Q_0 = C[V_(0)]` where `V_0` = max potential difference across C `= C[V/(R_1+R_2) xx R_2]` and `tau_c = C R_(eq)` `=C[(R_1R_2)/(R_1+R_2)] :. alpha = (1/tau_c) = (R_1 + R_2)/(CR_1R_2)`.

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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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