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⚛️ Physics  ·  Alternating Current  ·  NEET & JEE

The angular speed of an AC generator is doubled while its number of turns, coil area and magnetic field remain unchanged. At the same time, the resistance of its purely resistive load is reduced to half. How does the RMS current change?

Answer: It becomes four times the original value.

  • A It becomes twice the original value
  • B It becomes three times the original value
  • C It becomes four times the original value
  • D It becomes eight times the original value

Correct answer: C. It becomes four times the original value

Explanation: The generated peak emf E<sub>0</sub> = NBA&omega;, so doubling &omega; doubles the emf. Halving the load resistance doubles the current again. Therefore the RMS current becomes four times its original value.

V and I Phase Relationships in AC CircuitsPure Inductor: I lags V by 90°VIPure Capacitor: I leads V by 90°VIMemory aid "ELI the ICE man": in an inductor (L) E(V) leads I; in a capacitor (C) I leads E(V)For a pure resistor, V and I stay perfectly in phase (no lag or lead at all)

In a pure inductor the current lags the voltage by 90° (energy is briefly stored in the magnetic field before current responds); in a pure capacitor the current leads the voltage by 90° (current must flow to build up charge before voltage rises) - the mnemonic "ELI the ICE man" keeps these straight.

Concept context

AC circuits, impedance, LCR series circuit, resonance, transformers, and power factor.

Read the full Alternating Current notes →