1 iin (t) Vin (t) ~ R₁ www Vout(t)- L₁ m C₁ For the above circuit, assume the following: Vin(t) = 15 cos(120πt +30°)V, R₁ = 5k, L₁ = 10mH, and C₁ = 5µF: A) Find the current Iin in Aiin 20in form in units of [mA]4[°]. B) Find the power factor of the voltage source (no units). C) Find the average (real) power P provided by the voltage source in units of mW. D) Find the reactive power Q provided by the voltage source in units of mV AR. E) Determine which kind of filter (Lowpass, Highpass, Bandpass, Notch) is the above circuit.
1 iin (t) Vin (t) ~ R₁ www Vout(t)- L₁ m C₁ For the above circuit, assume the following: Vin(t) = 15 cos(120πt +30°)V, R₁ = 5k, L₁ = 10mH, and C₁ = 5µF: A) Find the current Iin in Aiin 20in form in units of [mA]4[°]. B) Find the power factor of the voltage source (no units). C) Find the average (real) power P provided by the voltage source in units of mW. D) Find the reactive power Q provided by the voltage source in units of mV AR. E) Determine which kind of filter (Lowpass, Highpass, Bandpass, Notch) is the above circuit.
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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D and E only
![**Problem Description:**
Consider the RL circuit shown. Assume the following parameters:
- Input voltage: \( v_{in}(t) = 15 \cos(120\pi t + 30^\circ) \) V
- Resistor \( R_1 = 5 \, k\Omega \)
- Inductor \( L_1 = 10 \, mH \)
- Capacitor \( C_1 = 5 \, \mu F \)
**Questions:**
A) Find the current \( I_{in} \) in \( A_{in} \angle \theta_{in} \) form in units of \([mA] \angle [^\circ]\).
B) Determine the power factor of the voltage source (unitless).
C) Calculate the average (real) power \( P \) provided by the voltage source in units of \( mW \).
D) Calculate the reactive power \( Q \) provided by the voltage source in units of \( mVAR \).
E) Identify the kind of filter (Lowpass, Highpass, Bandpass, Notch) represented by the circuit above.
**Diagram Explanation:**
The circuit diagram includes:
1. An AC voltage source denoted by \( v_{in}(t) \).
2. A resistor \( R_1 \).
3. An inductor \( L_1 \).
4. A capacitor \( C_1 \).
The components are connected in series, with the output voltage \( v_{out}(t) \) measured across the inductor and capacitor. The current \( i_{in}(t) \) flows through the circuit.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F254ab4ad-32b3-46a6-a767-6cfb48fa4969%2F5f52237c-ee1c-43a4-b9da-ad9be7d5599c%2Fzuudln7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
Consider the RL circuit shown. Assume the following parameters:
- Input voltage: \( v_{in}(t) = 15 \cos(120\pi t + 30^\circ) \) V
- Resistor \( R_1 = 5 \, k\Omega \)
- Inductor \( L_1 = 10 \, mH \)
- Capacitor \( C_1 = 5 \, \mu F \)
**Questions:**
A) Find the current \( I_{in} \) in \( A_{in} \angle \theta_{in} \) form in units of \([mA] \angle [^\circ]\).
B) Determine the power factor of the voltage source (unitless).
C) Calculate the average (real) power \( P \) provided by the voltage source in units of \( mW \).
D) Calculate the reactive power \( Q \) provided by the voltage source in units of \( mVAR \).
E) Identify the kind of filter (Lowpass, Highpass, Bandpass, Notch) represented by the circuit above.
**Diagram Explanation:**
The circuit diagram includes:
1. An AC voltage source denoted by \( v_{in}(t) \).
2. A resistor \( R_1 \).
3. An inductor \( L_1 \).
4. A capacitor \( C_1 \).
The components are connected in series, with the output voltage \( v_{out}(t) \) measured across the inductor and capacitor. The current \( i_{in}(t) \) flows through the circuit.
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