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Engineering and Tech / Engineering Circuit Analysis 8 / Chapter 12 / Problem 12.7

Engineering Circuit Analysis | 8th Edition | ISBN: 9780073529578 | Authors: William H. Hayt Professor Emeritus, Jack Kemmerly, Steven M. Durbin

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Each phase of a balanced three-phase -connected load consists of a 200 mH inductor in

Chapter 12, Problem 12.7

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QUESTION:

Each phase of a balanced three-phase \(\Delta\)-connected load consists of a 200 mH inductor in series with the parallel combination of a \(5\ \mu F\) capacitor and a \(200\ \Omega\) resistance. Assume zero line resistance and a phase voltage of 200 V at \(\omega = 400\ rad/s\). Find (a) the phase current; (b) the line current; (c) the total power absorbed by the load.

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QUESTION:

Each phase of a balanced three-phase \(\Delta\)-connected load consists of a 200 mH inductor in series with the parallel combination of a \(5\ \mu F\) capacitor and a \(200\ \Omega\) resistance. Assume zero line resistance and a phase voltage of 200 V at \(\omega = 400\ rad/s\). Find (a) the phase current; (b) the line current; (c) the total power absorbed by the load.

ANSWER:

Step 1 of 5

Given that .

The phase voltage is , and .

Convert the time domain components to frequency domain components

And,

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