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JEE Main 2022 (29 Jun, Shift 1) · Resonance, Bandwidth & Q Factor

Resonance, Bandwidth & Q Factor question from JEE Main 2022 (29 Jun, Shift 1)

Q80JEE Main 2022 · 29 JUN · SHIFT 1Medium

Resonance, Bandwidth & Q Factor

For a series LCR circuit, I vs ω\omega curve is shown:

(a) To the left of ω\omegar, the circuit is mainly capacitive.

(b) To the left of ω\omegar, the circuit is mainly inductive.

(c) At ω\omegar, impedance of the circuit is equal to the resistance of the circuit.

(d) At ω\omegar, impedance of the circuit is 0. Figure Choose the most appropriate answer from the options given below:

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Answer: (c)

  1. For ω<ωr\omega < \omega_r: XC=1ωC>XL=ωLX_C = \frac{1}{\omega C} > X_L = \omega L, so the circuit is mainly capacitive: (a) true, (b) false.
  2. At ωr\omega_r: XL=XCX_L = X_C, so Z=RZ = R (not zero): (c) true, (d) false.
  3. So the answer is (c) (a) and (c) only.
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