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NEET 2023
Exam
NEET
Year
2023
Subject
Physics
Chapter
Alternating Current

NEET 2023 · Physics · Alternating Current

In a series LCR circuit, the inductance L is 10mH , capacitance C...

In a seriesLCRLCR circuit, the inductanceLL is 10mH10mH, capacitance CC is 1μF1\mu F and resistance RR is 100Ω100Ω. The frequency at which resonance occurs is:

Options

  1. A1.59kHz1 . 59kHz
  2. B15.9rads−115 . 9rad{s}^{- 1}
  3. C15.9kHz15 . 9kHz
  4. D1.59rads−11 . 59rad{s}^{- 1}

Correct answer

A. 1.59kHz1 . 59kHz

Step-by-step solution

Resonance occurs when the value of inductive and capacitive reactances have equal magnitude but a phase difference of 180°180 °.

Therefore, resonance frequency =12πLC=12π(10×10−3)×(1×10−6)=1.591×103≈1.59kHz= \dfrac{1}{2\pi\sqrt{LC}} = \dfrac{1}{2\pi\sqrt{\left(10 \times {10}^{- 3}\right) \times \left(1 \times {10}^{- 6}\right)}} = 1 . 591 \times {10}^{3} \approx 1 . 59kHz

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