The circuit of Fig. 9.2 is modified substantially, with the resistor being replaced with

Chapter 9, Problem 8

(choose chapter or problem)

The circuit of Fig. 9.2 is modified substantially, with the resistor being replaced with a \(1\ k \Omega\) resistor, the inductor swapped out for a smaller 7 mH version, the capacitor replaced with a 1 nF alternative, and now the inductor is initially discharged while the capacitor is storing 7.2 mJ. (a) Compute \(\alpha\), \(\omega_0\), \(s_1\), and \(s_2\), and verify that the circuit is still overdamped. (b) Obtain an expression for the current flowing through the resistor which is valid for t > 0. (c) Calculate the magnitude of the resistor current at \(t = 10\ \mu s\).