Problem 5 40μF Phasor Voltage, Current, Power -|| 30 μF ww 305 ww 205 V₂ (t) = 20 cos(1000t) V V₂ a) Find Average power IP, Reactive power Q Complex power S, Phase angle : supplied by source b) Find instantaneous time-domain power plt). c) Plot p(t) and label all the quantities found above.

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**Problem 5: Phasor Voltage, Current, Power**

**Circuit Diagram:**
- The circuit consists of a voltage source \( V_g \), with an inductor (\( 40 \mu F \)) in series with a resistor (30 Ω), a second branch parallel consisting of a capacitor (\( 30 \mu F \)) in series with a resistor (20 Ω).

**Voltage Source:**
- \( V_g(t) = 20 \cos(1000t) \) V

**Tasks:**
a) Calculate the following for the source:
   - Average power \( P \)
   - Reactive power \( Q \)
   - Complex power \( S \)
   - Phase angle \( \Theta \)

b) Determine the instantaneous time-domain power \( p(t) \).

c) Plot \( p(t) \) and label all the quantities calculated above.
Transcribed Image Text:**Problem 5: Phasor Voltage, Current, Power** **Circuit Diagram:** - The circuit consists of a voltage source \( V_g \), with an inductor (\( 40 \mu F \)) in series with a resistor (30 Ω), a second branch parallel consisting of a capacitor (\( 30 \mu F \)) in series with a resistor (20 Ω). **Voltage Source:** - \( V_g(t) = 20 \cos(1000t) \) V **Tasks:** a) Calculate the following for the source: - Average power \( P \) - Reactive power \( Q \) - Complex power \( S \) - Phase angle \( \Theta \) b) Determine the instantaneous time-domain power \( p(t) \). c) Plot \( p(t) \) and label all the quantities calculated above.
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