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 timedomain expressions as given above for the source voltage. 3. (20%) Use the inductor current and the capacitor voltage as state variable and develop a statespace description for the RLC circuit shown above (assume the switch is closed). Convert the model into sdomain 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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 Spring '07
 M
 Alternating Current, RLC, Inductor, Electrical impedance, capacitor voltage

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