In a single-phase RL series circuit, if the current lags the supply voltage by an angle of 60°, then the voltage across the inductor leads the supply voltage by an angle of __________.

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SSC JE Electrical 4 Dec 2023 Official Paper II
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  1. 90°
  2. 60°
  3. 30°

Answer (Detailed Solution Below)

Option 4 : 30°
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The correct option is 4

Concept:

  • In an RL series circuit with a sinusoidal supply, the current lags the voltage across the resistor, is in phase with the total supply voltage, and leads the voltage across the inductor.
  • If the current is lagging the supply voltage by 60°, this means that the phase difference between the current and the voltage across the inductor would be 90° (because in an RL circuit, the voltage across the inductor is always 90° ahead of the current).
  • Therefore, if we subtract the 60° lag of the current from the 90° lead of the inductor voltage, the voltage across the inductor is leading the supply voltage by a phase angle of 300.

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