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Question: Regarding AC circuit, match the followings. (symbols have their usual meanings) | | | | ...

Regarding AC circuit, match the followings. (symbols have their usual meanings)

1.Quality factor(i)Parallel LCR
2.Power factor(ii)Series LCR
3.Acceptor circuit(iii)RZ\frac{R}{Z}
4.Rejector circuit(iv)1RLC\frac{1}{R}\sqrt{\frac{L}{C}}
Answer

1-(iv), 2-(iii), 3-(ii), 4-(i)

Explanation

Solution

  1. Quality factor (QQ): For a series LCR circuit, Q=1RLCQ = \frac{1}{R}\sqrt{\frac{L}{C}}. This matches with (iv).
  2. Power factor (cosϕ\cos \phi): Defined as the ratio of resistance to impedance, cosϕ=RZ\cos \phi = \frac{R}{Z}. This matches with (iii).
  3. Acceptor circuit: A series LCR circuit that resonates at a specific frequency, allowing maximum current. This matches with (ii).
  4. Rejector circuit: A parallel LCR circuit that resonates at a specific frequency, offering maximum impedance. This matches with (i).