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Question

A symmetrical three-phase three-wire RYB system is connected to a balanced delta-connected load. The RMS values of the line current and line-to-line voltage are 10 A and 400 V respectively. The power in the system is measured using the two wattmeter method. The first wattmeter connected between R-line and Y-line reads zero. The reading of the second wattmeter (connected between B-line and Y-line) in watt is
  1. 3464.1

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Solution

The correct option is A 3464.1
As the load is balanced and one of the watt-meter read zero power factor is 0.5.

Reading of the other wattmeter will be

W1=VLIL cos(30ϕ)
W2=VLIL cos(30+ϕ)

when,
cos ϕ=0.5

W2=VLILcos(30+60)

=VLIL cos 90=0

W1=10×400 cos(3060)=3464.1 W

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