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GATE 2014 EE (EE1) – Question 57

Electrical and Electronic Measurements · Measurement of voltage, current, power, energy and power factor · 2 marks · Numerical answer

Find the rms voltmeter reading (V) for the circuit shown.

Diagram for GATE 2014 EE (EE1) question 57

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Correct answer: 140 to 142

Explanation

Each vertical branch has j1+(−j1)=0series impedance at the indicated frequency, so the bridge terminals are shorted and source current is100sin(ωt)/0.5, peak200A. The two midpoint voltages differ by−j(Ileft+Iright)=−jItotalbecause the reactive elements are reversed. Hence voltmeter voltage has peak200Vand rms **200/√2=141.421V**.