Solve the following problem:
For the network of Fig.
a. Find the mathematical expression for the voltage across the capacitor after the switch is thrown into position 1.
b. Repeat part (a) for the current iC.
c. Find the mathematical expressions for the voltage vC and current iC if the switch is thrown into position 2 at a time equal to five time constants of the charging circuit.
d. Plot the waveforms of vC and iC for a period of time extending from t = 0 to t = 30 ms.
