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3 w = 10 w = 10 red/sec Jc V = 80+ √200 b) find c if w = 100₁ |VI = 100 volt > I=4 <0 =a) 1 = 4 (0, find cif

3 w = 10 w = 10 red/sec Jc V = 80+ √200 b) find c if w = 100₁ |VI = 100 volt > I=4 <0 =a) 1 = 4 (0, find cif

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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### Exercise: Analysis of the Given Circuit For analyzing the given circuit as illustrated in the diagram: #### a) Given: - \( I = 4 \angle 0 \) - \(\omega = 10^3 \text{ rad/sec} \) **Problem:** Find the capacitance \( C \) if the voltage \( V \) is: \[ V = 80 + j200 \] #### b) Given: - \(\omega = 100 \) - \(|V| = 100 \text{ Volts} \) - \( I = 4 \angle 0 \) **Problem:** Find the capacitance \( C \). ### Detailed Circuit Diagram: The circuit diagram contains: - A voltage source \( V \) - A resistor \( R \) - An inductor \( L \) - A capacitor \( C \) The given parameters within the circuit diagram are: - \(R = 20 \Omega\) - \(L = 0.1 H\) ### Step-by-Step Solution: #### a) For \(\omega = 10^3 \text{ rad/sec}\) 1. **Current**: \( I = 4 \angle 0 = 4 + j0 \) 2. **Voltage**: \( V = 80 + j200 \) 3. **Impedance Calculation**: \[ Z = R + j \omega L - \frac{j}{\omega C} \] #### b) For \(\omega = 100 \text{ rad/sec}\) 1. **Current**: \( I = 4 \angle 0 = 4 + j0 \) 2. **Voltage Magnitude**: \( |V| = 100 \text{ Volts} \) 3. **Impedance Calculation**: \[ Z = R + j \omega L - \frac{j}{\omega C} \] To determine \( C \), solve the impedance equation for both scenarios provided.
Transcribed Image Text:### Exercise: Analysis of the Given Circuit For analyzing the given circuit as illustrated in the diagram: #### a) Given: - \( I = 4 \angle 0 \) - \(\omega = 10^3 \text{ rad/sec} \) **Problem:** Find the capacitance \( C \) if the voltage \( V \) is: \[ V = 80 + j200 \] #### b) Given: - \(\omega = 100 \) - \(|V| = 100 \text{ Volts} \) - \( I = 4 \angle 0 \) **Problem:** Find the capacitance \( C \). ### Detailed Circuit Diagram: The circuit diagram contains: - A voltage source \( V \) - A resistor \( R \) - An inductor \( L \) - A capacitor \( C \) The given parameters within the circuit diagram are: - \(R = 20 \Omega\) - \(L = 0.1 H\) ### Step-by-Step Solution: #### a) For \(\omega = 10^3 \text{ rad/sec}\) 1. **Current**: \( I = 4 \angle 0 = 4 + j0 \) 2. **Voltage**: \( V = 80 + j200 \) 3. **Impedance Calculation**: \[ Z = R + j \omega L - \frac{j}{\omega C} \] #### b) For \(\omega = 100 \text{ rad/sec}\) 1. **Current**: \( I = 4 \angle 0 = 4 + j0 \) 2. **Voltage Magnitude**: \( |V| = 100 \text{ Volts} \) 3. **Impedance Calculation**: \[ Z = R + j \omega L - \frac{j}{\omega C} \] To determine \( C \), solve the impedance equation for both scenarios provided.
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