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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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1. Let \( V_s = 180 \angle 30^\circ \, \text{V}, \, Z_L = 7 + 10j \, \Omega, \, n = \frac{1}{3}, \, Z_s = 15 + 10j \, \Omega \) in the circuit shown below. **Circuit Diagram:** - The circuit consists of two loops connected via a transformer. - The left loop contains a voltage source (\( V_s \)), a series impedance (\( Z_s \)), and the primary coil of the transformer. - The right loop contains the secondary coil of the transformer and a load impedance (\( Z_L \)). - The primary side has a current \( I_1 \), and the secondary side has a current \( I_2 \). 1. The primary coil of the transformer is connected in series with \( Z_s \) and the voltage source \( V_s \). 2. The transformer has a turn ratio of \( 1:n \), where \( n = \frac{1}{3} \). 3. The secondary coil is connected to the load impedance \( Z_L \). **Tasks:** (a) Find \( Z_{\text{in}} \). (b) Find \( I_1 \). (c) Find \( I_2 \). (d) Find \( V_1 \). (e) Find \( V_2 \).
Transcribed Image Text:1. Let \( V_s = 180 \angle 30^\circ \, \text{V}, \, Z_L = 7 + 10j \, \Omega, \, n = \frac{1}{3}, \, Z_s = 15 + 10j \, \Omega \) in the circuit shown below. **Circuit Diagram:** - The circuit consists of two loops connected via a transformer. - The left loop contains a voltage source (\( V_s \)), a series impedance (\( Z_s \)), and the primary coil of the transformer. - The right loop contains the secondary coil of the transformer and a load impedance (\( Z_L \)). - The primary side has a current \( I_1 \), and the secondary side has a current \( I_2 \). 1. The primary coil of the transformer is connected in series with \( Z_s \) and the voltage source \( V_s \). 2. The transformer has a turn ratio of \( 1:n \), where \( n = \frac{1}{3} \). 3. The secondary coil is connected to the load impedance \( Z_L \). **Tasks:** (a) Find \( Z_{\text{in}} \). (b) Find \( I_1 \). (c) Find \( I_2 \). (d) Find \( V_1 \). (e) Find \( V_2 \).
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