Consider the following circuit R Us +v₁ (t)- vilt) + 3L Vo(t) For this circuit, the input voltage is vs (t) = 0.1 cos(450t +30°) V. Assume R = 100 2 and L = 50mH. By analyzing the circuit using the concept of phasors and basic circuit laws in the frequency domain i.e. w domain, fill in the following blanks. Use j to denote a complex term. 2. The phasor notation for v, (t) is V₂ (w) = 0.1-30 V. Use the "<" ("less than" or "<" key on your board) to denote the angle. Example: for an angle of 90°, you would type <90 as your answer without the degree symbol. b. The resistance is ZR = 100 Ω c. The inductive impedance is Z = j22.5 Ω d. Using voltage division in the frequency domain, the phasor form of the current in the circuit is I (w) = 0.0009-17.319 A. Enter the amplitude up to 4 decimal places e. The sinusoidal form of the inductor voltage i (t) = 0.0009cos(450t+17 A. Enter the amplitude up to 4 decimal places. Ignore the degree symbol when entering your
Consider the following circuit R Us +v₁ (t)- vilt) + 3L Vo(t) For this circuit, the input voltage is vs (t) = 0.1 cos(450t +30°) V. Assume R = 100 2 and L = 50mH. By analyzing the circuit using the concept of phasors and basic circuit laws in the frequency domain i.e. w domain, fill in the following blanks. Use j to denote a complex term. 2. The phasor notation for v, (t) is V₂ (w) = 0.1-30 V. Use the "<" ("less than" or "<" key on your board) to denote the angle. Example: for an angle of 90°, you would type <90 as your answer without the degree symbol. b. The resistance is ZR = 100 Ω c. The inductive impedance is Z = j22.5 Ω d. Using voltage division in the frequency domain, the phasor form of the current in the circuit is I (w) = 0.0009-17.319 A. Enter the amplitude up to 4 decimal places e. The sinusoidal form of the inductor voltage i (t) = 0.0009cos(450t+17 A. Enter the amplitude up to 4 decimal places. Ignore the degree symbol when entering your
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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c, d, and e please
*Note: The link above is a placeholder for the circuit diagram which includes a resistor \( R \) and an inductor \( L \) in series with a voltage source \( V_s \). The voltages across the resistor and inductor are denoted as \( v_1(t) \) and \( v_0(t) \), respectively.*
For this circuit, the input voltage is \( v_s(t) = 0.1 \cos(450t + 30^\circ) \) V. Assume \( R = 100 \, \Omega \) and \( L = 50 \, \text{mH} \).
By analyzing the circuit using the concept of phasors and basic circuit laws in the frequency domain (i.e., \(\omega\) domain), fill in the following blanks. Use \( j \) to denote a complex term.
a. The phasor notation for \( v_s(t) \) is \( V_s(\omega) \).
\[
V_s(\omega) = 0.1 < 30 \text{ V}
\]
Use the "<" ("less than" key on your board) to denote the angle.
b. The resistance is \( Z_R \).
\[
Z_R = 100 \, \Omega
\]
c. The inductive impedance is \( Z_L \).
\[
Z_L = j22.5 \, \Omega
\]
d. Using voltage division in the frequency domain, the phasor form of the current in the circuit is \( I(\omega) \).
\[
I(\omega) = 0.0009 < 17.319 \text{ A}
\]
Enter the amplitude up to 4 decimal places.
e. The sinusoidal form of the inductor voltage \( i(t) \).
\[
i(t) = 0.0009 \cos(450t + 17^\circ) \text{ A}
\]
Enter the amplitude up to 4 decimal places. Ignore the degree symbol when entering your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07dc3289-c262-41f1-9fc5-a8d18500de1b%2F4fdaf09e-a4c1-4523-9f4a-b6cd8e4cdc8e%2Ff1ev7ep_processed.png&w=3840&q=75)
Transcribed Image Text:### Analyzing an RL Circuit in the Frequency Domain
Consider the following RL circuit:
*Note: The link above is a placeholder for the circuit diagram which includes a resistor \( R \) and an inductor \( L \) in series with a voltage source \( V_s \). The voltages across the resistor and inductor are denoted as \( v_1(t) \) and \( v_0(t) \), respectively.*
For this circuit, the input voltage is \( v_s(t) = 0.1 \cos(450t + 30^\circ) \) V. Assume \( R = 100 \, \Omega \) and \( L = 50 \, \text{mH} \).
By analyzing the circuit using the concept of phasors and basic circuit laws in the frequency domain (i.e., \(\omega\) domain), fill in the following blanks. Use \( j \) to denote a complex term.
a. The phasor notation for \( v_s(t) \) is \( V_s(\omega) \).
\[
V_s(\omega) = 0.1 < 30 \text{ V}
\]
Use the "<" ("less than" key on your board) to denote the angle.
b. The resistance is \( Z_R \).
\[
Z_R = 100 \, \Omega
\]
c. The inductive impedance is \( Z_L \).
\[
Z_L = j22.5 \, \Omega
\]
d. Using voltage division in the frequency domain, the phasor form of the current in the circuit is \( I(\omega) \).
\[
I(\omega) = 0.0009 < 17.319 \text{ A}
\]
Enter the amplitude up to 4 decimal places.
e. The sinusoidal form of the inductor voltage \( i(t) \).
\[
i(t) = 0.0009 \cos(450t + 17^\circ) \text{ A}
\]
Enter the amplitude up to 4 decimal places. Ignore the degree symbol when entering your answer.
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