Consider the circuit shown in Figure. Prior to t = 0, v1 = 100V, and v2 = 0.
a. Immediately after the switch is closed, what is the value of the current [i.e., what is the value of i(0+)]?
b. Write the KVL equation for the circuit in terms of the current and initial voltages. Take the derivative to obtain a differential equation.
c. What is the value of the time constant in this circuit?
d. Find an expression for the current as a function of time.
e. Find the value that v2 approaches as t becomes very large.
