GATE 2014 EE (EE2) – Question 41

Electric Circuits · Transient response of DC and AC networks, sinusoidal steady-state analysis, resonance, two port networks, balanced three phase circuits, star-delta transformation, complex power and power factor in AC circuits · 2 marks · Numerical answer

The circuit dissipates 1 kW total. The voltmeter across the load reads 200 V. Find X_L (Ω).

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Correct answer: 17.3 to 17.4

Explanation

Only the1Ωresistor and load resistance dissipate power. The former carries2Aand dissipates4W,leaving996W in the load. The10Aload current gives R=996/100=9.96Ω. Its200Vterminal magnitude gives |Z|=20Ω. Therefore XL=√(20²−9.96²)=**17.34354Ω**. Parallel capacitor currents must not be treated as in-phase arithmetic values.