Chapter 30, Problem 30.64P

After the current in the circuit of Fig. P30.63 has reached its final, steady value with switch S₁ closed and S₂ open, switch S₂ is closed, thus short-circuiting the inductor. (Switch S₁ remains closed. See Problem 30.63 for numerical values of the circuit elements.) (a) Just after S₂ is closed, what are ʋ_ac and ʋ_cb, and what are the currents through R₀, R, and S₂? (b) A long time after S₂ is closed, what are ʋ_ac and ʋ_cb, and what are the currents through R₀, R, and S₂? (c) Derive expressions for the currents through R₀, R, and S₂ as functions of the time t that has elapsed since S₂ was closed. Your results should agree with part (a) when t = 0 and with part (b) when t → ∞. Graph these three currents versus time.