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MHT CET202613 April 2026Evening ShiftPhysicsAlternating CurrentActual

In the circuit shown, the ratio of the quality factor and the band width is (Given: band width = R/L)

Options

  1. A1 LC L^2 R^2
  2. B1 LC
  3. C1 LC L R
  4. D1 LC R L

Correct answer

A. 1 LC L^2 R^2

Step-by-step solution

The quality factor Q of a series LCR circuit is given by: Q = ₀ L R where ₀ is the resonant angular frequency, ₀ = 1 LC . The bandwidth is given as = R L . The ratio of the quality factor to the bandwidth is: Ratio = Q = ₀ L R R L = ₀ L^2 R^2 Substituting ₀ = 1 LC , we get: Ratio = 1 LC L^2 R^2 Answer: 1 LC L^2 R^2

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