Problem 4. Switches 1 and 2 in the circuit show below are synchronized. When switch 1 is
opened, switch 2 closes and vice versa. Switch 1 has been open a long time before
closing at t = 0. Find iL(t) for 𝑡 ≥ 0.
Answer: 𝑖𝐿 (𝑡) = 48 + 12𝑒−40𝑡 cos 30𝑡 + 66𝑒−40𝑡 sin 30𝑡 𝑚𝐴, 𝑡 ≥ 0