The circuit shown in the figure is used to charge the capacitor C alternately from two current sources as indicated. The switches S1 and S2 are mechanically coupled and connected as follows

Assume that the capacitor has zero initial charge. Given that u(t) is a unit step function, the voltage V_c(t) across the capacitor is given by

In the circuit shown, V_C is 0 volts at t = 0 sec. For t > 0, the capacitor current i_C(t), where t is in seconds, is given by

A 2mH inductor with some initial current can be represented as shown below, where s is the Laplace Transform variable. The value of initial current is:

In the figure shown below, assume that all the capacitors are initially uncharged. If ν_i(t) = 10 u(t) Volts, ν₀(t) is given by