6. (a) Determine the phasor-domain and time-domain representations of v(t) in the following circuit. 10cos(100nt) A 10uF v(t) (b) Determine the phasor-domain and time-domain representations of v(t) in the following circuit. 20sin(101) A 0.1 H + v(t)
6. (a) Determine the phasor-domain and time-domain representations of v(t) in the following circuit. 10cos(100nt) A 10uF v(t) (b) Determine the phasor-domain and time-domain representations of v(t) in the following circuit. 20sin(101) A 0.1 H + v(t)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Circuits 1 HW 6 Q6
Transcribed Image Text:### Problem 6
#### (a) Circuit Analysis
Determine the phasor-domain and time-domain representations of \( v(t) \) in the following circuit.
**Circuit Description:**
- A current source providing \( 10 \cos(100\pi t) \, \text{A} \).
- The current source is in parallel with a capacitor of \( 10 \, \mu\text{F} \).
**Diagram Explanation:**
The diagram displays a parallel circuit with an AC current source connected to a capacitor. The current source oscillates with a cosine waveform. The capacitor influences how the voltage across it changes with time, affecting \( v(t) \).
#### (b) Circuit Analysis
Determine the phasor-domain and time-domain representations of \( v(t) \) in the following circuit.
**Circuit Description:**
- A current source providing \( 20 \sin(10t) \, \text{A} \).
- The current source is in parallel with an inductor of \( 0.1 \, \text{H} \).
**Diagram Explanation:**
The diagram displays a parallel circuit with an AC current source connected to an inductor. The current source oscillates with a sine waveform. The inductor affects the buildup and decay of energy in the circuit, influencing \( v(t) \).
This educational material helps analyze the given circuits by transforming them into the phasor domain to simplify calculations involving sinusoidal sources and reactive components like capacitors and inductors.
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