For the circuit shown in figure 1, assume that the switch was closed for a long time before t = 0. The switch changes its position at t = 0. Now, answer the following: P1. Determine the initial conditions for the capacitor and the inductor (That is the voltage of the capacitor and the current through the inductor before t = 0) [Hint: Mesh analysis might be helpful] P2. Convert the circuit in s-domain for t >0 P3. Then calculate the current through the capacitor i(s) P4. Take the partial fraction of i(s) [if necessary], and then take the inverse Laplace transform of i(s) to get the current i(t) 6Ω 6Ω 6Ω i(t) t = 0 2H :0.5F 12V 4V ll +

For the circuit shown in figure 1, assume that the switch was closed for a long time before t = 0. The switch changes its position at t = 0. Now, answer the following: P1. Determine the initial conditions for the capacitor and the inductor (That is the voltage of the capacitor and the current through the inductor before t = 0) [Hint: Mesh analysis might be helpful] P2. Convert the circuit in s-domain for t >0 P3. Then calculate the current through the capacitor i(s) P4. Take the partial fraction of i(s) [if necessary], and then take the inverse Laplace transform of i(s) to get the current i(t) 6Ω 6Ω 6Ω i(t) t = 0 2H :0.5F 12V 4V ll +

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter24: Resistive-inductive-capacitive Parallel Circuits

Section: Chapter Questions

Problem 1RQ: An AC circuit contains a 24 resistor, a 15.9-mH inductor, and a 13.3F capacitor connected in...

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