ISRO Electrical Engineering (EE) 2023 - Question 22

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The phasor current through the inductance in the given circuit shown is [Figure description: A current source i = 10 cos 2t (arrow up) in parallel with a 1 H inductor and a 2 Ω resistor.]

  • A. 10/√2 at -45°
  • B. 10/√2 at 45°
  • C. 5 at 45°
  • D. 5 at -45°

Answer: A. 10/√2 at -45°

Explanation: Current division between 2 Ω resistor and j2 Ω inductor: IL = 10∠0° × [2 / (2 + j2)] = 10 / (1 + j) = (10/√2)∠-45°.

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