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Discuss/explain the changes in apparent power(S) and why there were no changes in average power(P) for both circuits. Explain it all in terms of the “power triangle”. No value of C was given.

Discuss/explain the changes in apparent power(S) and why there were no changes in average power(P) for both circuits. Explain it all in terms of the “power triangle”. No value of C was given.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Discuss/explain the changes in apparent power(S) and why there were no changes in average power(P) for both circuits. Explain it all in terms of the “power triangle”.

No value of C was given.

The image is a schematic representation of an electrical circuit. **Description of Circuit Components:** 1. **Voltage Source:** - The voltage input is denoted by \( v_{\text{in}}(t) = 5 \cos (5 \times 10^3 t) \). - This indicates an AC voltage source with an amplitude of 5 volts and an angular frequency of \( 5000 \text{ rad/s} \). 2. **Inductor:** - Next to the voltage source is an inductor with an inductance of \( 0.1 \text{ H} \) (henries). 3. **Resistor:** - Connected in series with the inductor is a resistor with a resistance of \( 865 \, \Omega \). 4. **Capacitor:** - In parallel to the series combination of the inductor and the resistor is a capacitor represented by the symbol \( C \). **Explanation:** This circuit is a classic example of a series RLC circuit with a parallel capacitor, which is driven by an AC voltage source. The circuit can demonstrate concepts such as resonance, impedance, and the phase relationship between voltage and current in AC circuits. The frequency of the source can affect the behavior of the circuit, particularly in terms of resonance where the inductive and capacitive reactances can cancel each other out.
Transcribed Image Text:The image is a schematic representation of an electrical circuit. **Description of Circuit Components:** 1. **Voltage Source:** - The voltage input is denoted by \( v_{\text{in}}(t) = 5 \cos (5 \times 10^3 t) \). - This indicates an AC voltage source with an amplitude of 5 volts and an angular frequency of \( 5000 \text{ rad/s} \). 2. **Inductor:** - Next to the voltage source is an inductor with an inductance of \( 0.1 \text{ H} \) (henries). 3. **Resistor:** - Connected in series with the inductor is a resistor with a resistance of \( 865 \, \Omega \). 4. **Capacitor:** - In parallel to the series combination of the inductor and the resistor is a capacitor represented by the symbol \( C \). **Explanation:** This circuit is a classic example of a series RLC circuit with a parallel capacitor, which is driven by an AC voltage source. The circuit can demonstrate concepts such as resonance, impedance, and the phase relationship between voltage and current in AC circuits. The frequency of the source can affect the behavior of the circuit, particularly in terms of resonance where the inductive and capacitive reactances can cancel each other out.
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Step 1

The given circuit is shown below,

Electrical Engineering homework question answer, step 1, image 1

Where,Vin(t) =5cos×103tR1=865ΩL=0.1H

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