Consider a simple positive phase sequence, three-phase, three-wire system operated at 50

Chapter 12, Problem 16

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QUESTION:

Consider a simple positive phase sequence, three-phase, three-wire system operated at 50 Hz and with a balance load. Each phase voltage of 240 V is connected across a load composed of a series-connected \(50\ \Omega\) and 500 mH combination. Calculate (a) each line current; (b) the power factor of the load; (c) the total power supplied by the three-phase source.

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QUESTION:

Consider a simple positive phase sequence, three-phase, three-wire system operated at 50 Hz and with a balance load. Each phase voltage of 240 V is connected across a load composed of a series-connected \(50\ \Omega\) and 500 mH combination. Calculate (a) each line current; (b) the power factor of the load; (c) the total power supplied by the three-phase source.

ANSWER:

Step 1 of 6

(a)

The phase voltages are,

To get the line current the impedance needs to be calculated. Calculate the reactance of the load due to inductance,

The total impedance is,

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