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Question: an electric circuit is being driven with a voltage source...

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7.6 An electric circuit is being driven with a voltage source e, as shown in Fig. PT.6, and the output of primary interest is the capacitor voltage eo esg. (a) Derive the system differential equation relating eo to e,. b) Find the undamped natural frequency and damping ratio for this system. (c Find iL(0+), eo(0+), and deo/dt at t 0+, assuming that es has been equal to zero for a very long time and then suddenly changes to 10 V att 0. odo sketch the response of eo versus time, indicating clearly the period of oscillation (if applicable) and the final steady-state value of eo. (3) RI 2000 e,(t) en- R2 80002 L 27.6 h (g) C 4.5 uF

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