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BITSAT Physics Alternating Current 2021 BITSAT 2021

BITSAT Physics Question (2021) — Solution

Question

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. A. _ 0 ~L
  2. B. _ 0 ~L R
  3. C. R _ 0 C
  4. D. CR _ 0

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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