Solve the following problem:
Repeat Problem 1 for R = 1 MΩ, and compare the results.
Problem 1: For the circuit of Fig.
a. Determine the time constant of the circuit.
b. Write the mathematical equation for the voltage vC following the closing of the switch.
c. Determine the voltage vC after one, three, and five time constants.
d. Write the equations for the current iC and the voltage vR.
e. Sketch the waveforms for vC and iC.
