Consider the circuit shown in Fig. P30.63. Let E = 36.0 V,

Chapter 30, Problem 30.63

(choose chapter or problem)

Consider the circuit shown in Fig. P30.63. Let \(\mathcal{E}=36.0 \mathrm{\ V}, R_{0}=50.0\ \Omega, R=150\ \Omega\), and L = 4.00 H.

(a) Switch \(S_{1}\) is closed and switch \(S_{2}\) is left open. Just after \(S_{1}\) is closed, what are the current \(\dot{i}_{0}\) through \(R_{0}\) and the potential differences \(v_{a c}\) and \(v_{c b}\)?

(b) After \(S_{1}\) has been closed a long time (\(S_{2}\) is still open) so that the current has reached its final, steady value, what are \(i_0,\ v_{ac}\) and \(v_{cb}\)?

(c) Find the expressions for \(i_0,\ v_{ac}\) and \(v_{cb}\), as functions of the time t since \(S_{1}\) was closed. Your results should agree with part (a) when t = 0 and with part (b) when \(t \rightarrow \infty\). Graph \(i_0,\ v_{ac}\text{, and }v_{cb}\) versus time.