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2. For the network in Fig: a. Find the total impedance Zr and the total admittance Yr. b. Find the current Is. c. Calculate l2 using the current divider rule.

2. For the network in Fig: a. Find the total impedance Zr and the total admittance Yr. b. Find the current Is. c. Calculate l2 using the current divider rule.

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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Question
For the network in the figure: a. Find the total impedance \( Z_T \) and the total admittance \( Y_T \). b. Find the current \( I_S \). c. Calculate \( I_2 \) using the current divider rule. d. Calculate \( V_C \). e. Calculate the average power delivered to the network. ### Circuit Diagram Description: - The circuit features a voltage source \( E = 60 \, V \angle 30^\circ \). - There is an inductor with reactance \( X_L = 12 \, \Omega \). - A resistor \( R_2 = 9.1 \, \Omega \) is in parallel with a capacitor with reactance \( X_C = 12 \, \Omega \). - Arrows indicate the direction of current flow: \( I_S \) from the voltage source through \( Z_T \), and \( I_2 \) through \( R_2 \) and \( X_C \). - The voltage across the capacitor is indicated as \( V_C \). This setup calls for calculations involving complex impedance and phasor analysis to determine current and power within the circuit.
Transcribed Image Text:For the network in the figure: a. Find the total impedance \( Z_T \) and the total admittance \( Y_T \). b. Find the current \( I_S \). c. Calculate \( I_2 \) using the current divider rule. d. Calculate \( V_C \). e. Calculate the average power delivered to the network. ### Circuit Diagram Description: - The circuit features a voltage source \( E = 60 \, V \angle 30^\circ \). - There is an inductor with reactance \( X_L = 12 \, \Omega \). - A resistor \( R_2 = 9.1 \, \Omega \) is in parallel with a capacitor with reactance \( X_C = 12 \, \Omega \). - Arrows indicate the direction of current flow: \( I_S \) from the voltage source through \( Z_T \), and \( I_2 \) through \( R_2 \) and \( X_C \). - The voltage across the capacitor is indicated as \( V_C \). This setup calls for calculations involving complex impedance and phasor analysis to determine current and power within the circuit.
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