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In a balanced three phase circuit, power is measured by two wattmeters, the ratio of two wattmeter readings is 2:1. Determine the power factor of the system.
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Given:

W1W2=21   i.eW1=2W2

To find: Power factor

ϕ=tan1[3(W1W2)W1+W2]=tan1[3(W1W2)W1+W2]=tan13W23W2ϕ=tan1(0.557)=30Power factor=cosϕ=cos30=0.8661

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