A three-phase 240-V rms circuit has a balanced Y-load impedance Z. Two wattmeters are

Chapter 12, Problem DP12-2

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QUESTION:

A three-phase 240-V rms circuit has a balanced Y-load impedance Z. Two wattmeters are connected with current coils in lines A and C. The wattmeter in line A reads 1440 W, and the wattmeter in line C reads zero. Determine the value of the impedance.

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QUESTION:

A three-phase 240-V rms circuit has a balanced Y-load impedance Z. Two wattmeters are connected with current coils in lines A and C. The wattmeter in line A reads 1440 W, and the wattmeter in line C reads zero. Determine the value of the impedance.

ANSWER:

Step 1 of 3:

The power delivered at phase A is calculated by the shown equation,

                   

                   

Subsequently, the power delivered at phase C is calculated by the shown equation,

                     

                     

                   

Then,      

                   

                   

                           

                           

Substituting (2) in(1),

                         

                               

                                         

 

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