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JEE Main 2021 (17 Mar, Shift 2) · Pure R, L and C Circuits

Pure R, L and C Circuits question from JEE Main 2021 (17 Mar, Shift 2)

Q52JEE Main 2021 · 17 MAR · SHIFT 2Easy

Pure R, L and C Circuits

Match List - I with List - II

Choose the most appropriate answer from the options given below:

List - IList - II
(a)Phase difference between current and voltage in a purely resistive AC circuit(i)π2\frac{\pi}{2} ; current leads voltage
(b)Phase difference between current and voltage in a pure inductive AC circuit(ii)zero
(c)Phase difference between current and voltage in a pure capacitive AC circuit(iii)π2\frac{\pi}{2} ; current lags voltage
(d)Phase difference between current and voltage in an LCR series circuit(iv)tan⁡−1(XC−XLR)\tan^{-1}\left(\frac{X_C - X_L}{R}\right)
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Answer: (a)

  1. Pure resistor: phase difference zero, (a)-(ii).
  2. Pure inductor: π2\frac{\pi}{2}, current lags voltage, (b)-(iii).
  3. Pure capacitor: π2\frac{\pi}{2}, current leads voltage, (c)-(i).
  4. LCR series: ϕ=tan⁡−1(XC−XLR)\phi = \tan^{-1}\left(\frac{X_C - X_L}{R}\right), (d)-(iv).
  5. So the answer is (a).
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