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NEET 2005 (AIPMT) · Series LCR Circuit

Series LCR Circuit question from NEET 2005 (AIPMT)

Q62NEET 2005 · AIPMTMedium

Series LCR Circuit

In a circuit L, C and R are connected in series with an alternating voltage source of frquency ff The current leads the voltage by 45°. The value of C is

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Answer: (d)

  1. Current leads by 45∘45^\circ: XC−XL=Rtan⁡45∘=RX_C - X_L = R\tan 45^\circ = R.
  2. 12πfC=2πfL+R\dfrac{1}{2\pi fC} = 2\pi fL + R
  3. C=12πf(2πfL+R)C = \dfrac{1}{2\pi f(2\pi fL + R)}
  4. So the answer is (d).
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