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BITSAT2021PhysicsAlternating CurrentActual

For an RLC circuit driven with voltage of amplitude V_ m and frequency ₀= 1 LC the current exhibits resonance the quality factor, Q is given by

Options

  1. A₀ ~L
  2. B₀ ~L R
  3. CR ₀ C
  4. DCR ₀

Correct answer

B. ₀ ~L R

Step-by-step solution

Total angular momentum of the system initially ( L _ i = I ₁ w + I ₂(0)= I ₁ w ) Total angular momentum of the system finally ( L _ f = ( I ₁+ I ₂ ) w ₂ ) According to conservation of angular momentum i.e. ( L _ i = L _ f ) ( aligned & I ₁ = ( I ₁+ I ₂ ) ₂ & ₂= I ₁ I ₁+ I ₂ aligned )

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