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Unformatted text preview: equivalent circuit. c) Draw a phasor diagram showing the inductor current, the capacitor voltage, and the source voltage. d) Convert the inductor current and capacitor voltage phasor into time-domain expressions as given above for the source voltage. 3. (20%) Use the inductor current and the capacitor voltage as state variable and develop a state-space description for the RLC circuit shown above (assume the switch is closed). Convert the model into s-domain and use it to derive the transfer function from the source voltage to the capacitor voltage. Compare the result with your answer to Problem 1d) 4. (20%) Consider a periodic rectangular voltage shown below. Determine a) The fundamental amplitude and frequency of the voltage, b) The amplitude and rms value of the 3 rd and 5 th harmonic, and c) The total rms value of the voltage. 1 Ω + − S 100 μ F + v − 1 mH 0.1 Ω 10 0.05 0.03 0.1 0.08 t...
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This note was uploaded on 11/19/2009 for the course ECSE ECSE taught by Professor M during the Spring '07 term at Rensselaer Polytechnic Institute.
- Spring '07