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MHT CET 2024 (15 May, Shift 2) · Resonance, Bandwidth & Q Factor

Resonance, Bandwidth & Q Factor question from MHT CET 2024 (15 May, Shift 2)

Q44MHT CET 2024 · 15 MAY · SHIFT 2Easy

Resonance, Bandwidth & Q Factor

Which one of the following graphs correctly represents the variation of impedance (Z)(Z) of a series LCR circuit with the frequency (v)(v) of applied a.c.?

Figure

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Answer: (b)

  1. As ν→0\nu \to 0, XC=12πνCX_C = \dfrac{1}{2\pi\nu C} is very large, so ZZ is large.
  2. At ν0\nu_0, XL=XCX_L = X_C and Z=RZ = R (minimum, not zero).
  3. For large ν\nu, XL=2πνLX_L = 2\pi\nu L is large, so ZZ rises again.
  4. Graph B shows high ZZ, a dip to a non-zero minimum, then high ZZ. So the answer is (b) B.
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