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In alternating current circuit at resonance, the angle of lead or lag is?

Physics
JAMB 2010

In alternating current circuit at resonance, the angle of lead or lag is?

  • A. π°
  • B. (π)/2°
  • C. (π)/3°
  • D.
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Correct Answer: Option D
Explanation

Resonance occurs whenever the phase angle of the circuit is zero, The only way that f = 0 is if XL = XC

Note that tanϕ = \(\frac{ X }{ R}\) where X = reactance and ϕ = angle of lead or lag.

therefore, tan ϕ = \(\frac{ X_L - X_C}{ R}\) but at resonance  \(X_L = X_C\)

tan ϕ = \(\frac{0}{R}\) = 0 and ϕ = \(tan^{-1}\) = 0º

There is an explanation video available below.


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Explanation Video

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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995