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Engineering · Electrical Engineering
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The circuit depicted in Fig. 7.3 is driven by a sinusoidal signal with 2 kHz frequency, 5 V amplitude, and 5 V DC-offset. i.e. the source can be represented mathematically as: Vs(t) 5+5cos(ut) V Rs is the internal resistance of the source. Rs:50 Ω vs(t)(U V. Figure 7.3 Schematic for sinusoidal (AC) steady state analysis using phasors. A. Derive a time variant expression for node voltages Vo, Vr, and V2 using phasors, and superposition analysis technique. B. Use your results from part (A) to derive expressions for: i. Voltage across the inductor, ii. Current through the inductor iv. Current through the capacitor. and inductor. Express which signal (voltage or current) is lagging the other for each case. C. User your results in (B) to derive the phase shift between voltage and current in capacitor

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