In the RLC circuit below, the voltage supply vs is a sine tone burst with amplitude V₁ and angular frequency w. Assume under-damped dynamics. R L iL ww mooo + US vc(t) a. Write down the differential equation governing the circuit, in terms of the state variable vo(t). b. Solve for the homogeneous solution of vc(t). c. Solve for the particular solution of vc(t). d. Assume that the inductor and capacitor are uncharged when the tone burst occurred. Solve for the complete response of the circuit. e. Solve for iL(t). f. Plot vc(t). Do not forget to indicate the values that you have used.
In the RLC circuit below, the voltage supply vs is a sine tone burst with amplitude V₁ and angular frequency w. Assume under-damped dynamics. R L iL ww mooo + US vc(t) a. Write down the differential equation governing the circuit, in terms of the state variable vo(t). b. Solve for the homogeneous solution of vc(t). c. Solve for the particular solution of vc(t). d. Assume that the inductor and capacitor are uncharged when the tone burst occurred. Solve for the complete response of the circuit. e. Solve for iL(t). f. Plot vc(t). Do not forget to indicate the values that you have used.
Chapter15: Alternating-current Circuits
Section: Chapter Questions
Problem 63CP: A 20 resistor, 50F capacitor, and 30-mH inductor are connected in series with an ac source of...
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