Electric Circuits and Networks

15.16 PROBLEMS

1. Evaluate the voltage across the capacitor in a series RC circuit with R = 1 kΩ and C = 1000 μF at t = 0⁺ and t = 20 s if the applied voltage to the circuit is (a) 2 e^0.01t cost V (b) 2 e^0.01tcost u(t) V. Use differential equation approach.
2. A current source with i_s(t) = f(t) u(t) A is applied to a parallel RL circuit with R = 1 Ω and L = 1 H. The voltage across the combination is found to be = 2e^–tsint u(t) V. Find f(t) and the initial current in the inductor. Do not use the Laplace transform technique.
3. The output variable y in a linear time-invariant circuit is related to the input variable x by the following differential equation Its zero-input response is found to contain e^–0.5t term among other terms. If x(t) = 3e^{0.01 t} sin ...