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3. A 7970 V:120 V, 60 Hz potential transformer has the following parameters as seen from the high-voltage (primary) windings: X₁ X = 1721 Ω _ Χ = 1897 Ω Xm = 782 k R₁ = 1378 52 R₂ = 1602 £2 a) Assuming that the secondary is open circuited and that the primary is connected to a 7.97 kV source, calculate the magnitude and the phase angle (with respect to the high-voltage source) of the voltage at the secondary terminals. b) Calculate the magnitude and the phase angle of the secondary voltage if a 1-kn resistive load is connected to the secondary terminals.

3. A 7970 V:120 V, 60 Hz potential transformer has the following parameters as seen from the high-voltage (primary) windings: X₁ X = 1721 Ω _ Χ = 1897 Ω Xm = 782 k R₁ = 1378 52 R₂ = 1602 £2 a) Assuming that the secondary is open circuited and that the primary is connected to a 7.97 kV source, calculate the magnitude and the phase angle (with respect to the high-voltage source) of the voltage at the secondary terminals. b) Calculate the magnitude and the phase angle of the secondary voltage if a 1-kn resistive load is connected to the secondary terminals.

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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### Problem Statement: A 7970 V:120 V, 60 Hz potential transformer has the following parameters as seen from the high-voltage (primary) windings: - \( X_1 = 1721 \, \Omega \) - \( X'_2 = 1897 \, \Omega \) - \( X_m = 782 \, k\Omega \) - \( R_1 = 1378 \, \Omega \) - \( R'_2 = 1602 \, \Omega \) #### Questions: a) Assuming that the secondary is open-circuited and that the primary is connected to a 7.97 kV source, calculate the magnitude and the phase angle (with respect to the high-voltage source) of the voltage at the secondary terminals. b) Calculate the magnitude and the phase angle of the secondary voltage if a 1-kΩ resistive load is connected to the secondary terminals. #### Explanation: For part a), when the secondary is open-circuited, there is no load current flowing through the secondary winding. The analysis will require solving for the secondary voltage given the primary voltage and considering the transformer parameters. For part b), when a 1-kΩ resistive load is connected to the secondary, the equivalent circuit of the transformer must be analyzed considering the load's effect. This will involve calculating the secondary voltage under load conditions. Diagrams and complex number calculations will be essential to solve these problems; these typically include equivalent circuit models and phasor diagrams to determine magnitude and phase relationships in AC circuits.
Transcribed Image Text:### Problem Statement: A 7970 V:120 V, 60 Hz potential transformer has the following parameters as seen from the high-voltage (primary) windings: - \( X_1 = 1721 \, \Omega \) - \( X'_2 = 1897 \, \Omega \) - \( X_m = 782 \, k\Omega \) - \( R_1 = 1378 \, \Omega \) - \( R'_2 = 1602 \, \Omega \) #### Questions: a) Assuming that the secondary is open-circuited and that the primary is connected to a 7.97 kV source, calculate the magnitude and the phase angle (with respect to the high-voltage source) of the voltage at the secondary terminals. b) Calculate the magnitude and the phase angle of the secondary voltage if a 1-kΩ resistive load is connected to the secondary terminals. #### Explanation: For part a), when the secondary is open-circuited, there is no load current flowing through the secondary winding. The analysis will require solving for the secondary voltage given the primary voltage and considering the transformer parameters. For part b), when a 1-kΩ resistive load is connected to the secondary, the equivalent circuit of the transformer must be analyzed considering the load's effect. This will involve calculating the secondary voltage under load conditions. Diagrams and complex number calculations will be essential to solve these problems; these typically include equivalent circuit models and phasor diagrams to determine magnitude and phase relationships in AC circuits.
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