GATE Instrumentation - GATE 2017-2018 Questions and Answers

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For the circuit shown in the figure, the voltage and current expressions are

v(t) = E₁ sin(wt) + E₃ sin(3 wt) and i(t) = I₁ sin(wt - Ï†₁) + I₃ sin(3 wt - Ï†₃) + I₅ sin(5 wt)

The average power measured by the Wattmeter is

1/2 E₁I₁ cosÏ†₁

1/2 [E₁I₁ cosÏ†₁ + E₁I₃ cosÏ†₃ + E₁I₅]

1/2 [E₁I₁ cosÏ†₁ + E₃I₃ cosÏ†₃]

1/2 [E₁I₁ cosÏ†₁ + E₃I₁ cosÏ†₁]

Answer : Option C

Explanation :

-NA-

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