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AIIMS 2016
Exam
AIIMS
Year
2016
Subject
Physics
Chapter
Alternating Current

AIIMS 2016 · Physics · Alternating Current

Assertion : At resonance, L C R series circuit have a minimum...

Assertion : At resonance, LCRL C R series circuit have a minimum current. Reason : At resonance, in LCR series circuit, the current and e.m.f are not in phase with each other.

Options

  1. AIf both assertion and reason are true and reason is the correct explanation of assertion.
  2. BIf both assertion and reason are true but reason is not the correct explanation of assertion.
  3. CIf assertion is true but reason is false.
  4. DIf both assertion and reason are false.

Correct answer

D. If both assertion and reason are false.

Step-by-step solution

At resonance X_L=X_C or ωL=1ωC\omega L=\frac{1}{\omega C}. Because of this impedance of LCRL C R series circuit become equal to resistance of circuit \left(Z=\sqrt{R^2+\left(X_L-X_C\right)^2}\right).Thereforefrom. Therefore fromI=EZ=ER\frac{E}{Z}=\frac{E}{R}, at resonance, current in LCR series circuit is maximum. Correspondingly phase angle is also equal to zero. Therefore emf and current are in phase in L C R series circuit.
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