In measurement of 3 phase power by the two-wattmeter method of a balanced load, the power factor is given by:

1
\(\cos \left\{ {{{\tan }^{ - 1}}\left[ {\sqrt 3 \left( {\frac{{{W_2} + {W_1}}}{{{W_1} - {W_2}}}} \right)} \right]} \right\}\)
2
\(\cos \left\{ {{{\tan }^{ - 1}}\left[ {\ 3 \left( {\frac{{{W_2} - {W_1}}}{{{W_1} +{W_2}}}} \right)} \right]} \right\}\)
3
\(\cos \left\{ {{{\tan }^{ - 1}}\left[ {\sqrt 3 \left( {\frac{{{W_2} - {W_1}}}{{{W_1} + {W_2}}}} \right)} \right]} \right\}\)
4
\(\cos \left\{ {{{\tan }^{ - 1}}\left( {\frac{{{W_2} + {W_1}}}{{{W_1} - {W_2}}}} \right)} \right\}\)

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