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GATE 2021 EE – Question 49

Electric Circuits · Network solution methods: KCL, KVL, Node and Mesh analysis · 2 marks · Numerical answer

A three-phase balanced voltage is applied to the load shown. The phase sequence is RYB. The ratio $\dfrac{|I_B|}{|I_R|}$ is ________.

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Correct answer: 1

Explanation

The load is connected between the lines through a capacitor of $-j10\ \Omega$ and an inductor of $j10\ \Omega$, which have equal and opposite reactance magnitudes. The resulting currents in lines R and B have equal magnitude, so the ratio is 1 (the official key is 1).