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The parameters of a certain linear transformer are R1 = 100 Q, R2 = 200 Q, L1 = 6.25 H, L2 = 4 H, and k = 0.6. R1 is the resistance of the primary winding and Li is the self-inductance of the primary winding. R2 is the resistance of the secondary winding and L2 is the self-inductance of the secondary winding. The transformer couples a load-impedance consisting of a 1 ko resistor in series with a 2 µF capacitor on the secondary to the sinusoidal voltage source on the primary. The 250 Vrms source has an internal impedance of 250 + j100 Q and a frequency of 250 rad/sec. a) Construct a properly labeled frequency-domain equivalent circuit of the system. b) Calculate the self-impedance of the primary circuit. c) Calculate the self-impedance of the secondary circuit. d) Calculate the impedance reflected into the primary winding in polar form.

The parameters of a certain linear transformer are R1 = 100 Q, R2 = 200 Q, L1 = 6.25 H, L2 = 4 H, and k = 0.6. R1 is the resistance of the primary winding and Li is the self-inductance of the primary winding. R2 is the resistance of the secondary winding and L2 is the self-inductance of the secondary winding. The transformer couples a load-impedance consisting of a 1 ko resistor in series with a 2 µF capacitor on the secondary to the sinusoidal voltage source on the primary. The 250 Vrms source has an internal impedance of 250 + j100 Q and a frequency of 250 rad/sec. a) Construct a properly labeled frequency-domain equivalent circuit of the system. b) Calculate the self-impedance of the primary circuit. c) Calculate the self-impedance of the secondary circuit. d) Calculate the impedance reflected into the primary winding in polar form.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**Linear Transformer Parameters and Calculations** The parameters of a certain linear transformer are as follows: - \( R_1 = 100 \, \Omega \) - \( R_2 = 200 \, \Omega \) - \( L_1 = 6.25 \, \text{H} \) - \( L_2 = 4 \, \text{H} \) - Coupling coefficient \( k = 0.6 \) **Component Definitions:** - \( R_1 \) is the resistance of the primary winding. - \( L_1 \) is the self-inductance of the primary winding. - \( R_2 \) is the resistance of the secondary winding. - \( L_2 \) is the self-inductance of the secondary winding. **Circuit Description:** The transformer couples a load-impedance consisting of a 1 k\(\Omega\) resistor in series with a 2 μF capacitor on the secondary, to the sinusoidal voltage source on the primary. The source provides 250 Vrms with an internal impedance of \( 250 + j100 \, \Omega \), and operates at a frequency of 250 rad/sec. **Calculations:** a) Construct a properly labeled frequency-domain equivalent circuit of the system. b) Calculate the self-impedance of the primary circuit. c) Calculate the self-impedance of the secondary circuit. d) Calculate the impedance reflected into the primary winding in polar form.
Transcribed Image Text:**Linear Transformer Parameters and Calculations** The parameters of a certain linear transformer are as follows: - \( R_1 = 100 \, \Omega \) - \( R_2 = 200 \, \Omega \) - \( L_1 = 6.25 \, \text{H} \) - \( L_2 = 4 \, \text{H} \) - Coupling coefficient \( k = 0.6 \) **Component Definitions:** - \( R_1 \) is the resistance of the primary winding. - \( L_1 \) is the self-inductance of the primary winding. - \( R_2 \) is the resistance of the secondary winding. - \( L_2 \) is the self-inductance of the secondary winding. **Circuit Description:** The transformer couples a load-impedance consisting of a 1 k\(\Omega\) resistor in series with a 2 μF capacitor on the secondary, to the sinusoidal voltage source on the primary. The source provides 250 Vrms with an internal impedance of \( 250 + j100 \, \Omega \), and operates at a frequency of 250 rad/sec. **Calculations:** a) Construct a properly labeled frequency-domain equivalent circuit of the system. b) Calculate the self-impedance of the primary circuit. c) Calculate the self-impedance of the secondary circuit. d) Calculate the impedance reflected into the primary winding in polar form.
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