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E5A08

ELECTRICAL PRINCIPLES · Resonance and Q: characteristics of resonant circuits; series and parallel resonance; definitions and effects of Q; half-power bandwidth

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What is the phase relationship between the current through and the voltage across a series resonant circuit at resonance?

  1. AThe voltage leads the current by 90 degrees
  2. BThe current leads the voltage by 90 degrees
  3. CThe voltage and current are in phase
  4. DThe voltage and current are 180 degrees out of phase
Why At resonance the inductive reactance and capacitive reactance are equal in magnitude and opposite in sign, so they cancel and leave only resistance. A purely resistive impedance produces no phase shift, so the current through the series circuit and the voltage across it rise and fall together. This zero phase angle is one of the defining tests for resonance, along with minimum impedance and maximum current in a series circuit.
Watch out The 90 degree answers describe a circuit dominated by a single reactance: voltage leads current by 90 degrees in a pure inductor, and current leads voltage by 90 degrees in a pure capacitor. At resonance neither dominates because they cancel each other.
Resonance = reactances cancel = looks like a plain resistor = zero phase angle, series or parallel.
HamSandwich explanation, first draft. The question and answers are the NCVEC text.
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The rest of E5A

  1. E5A01 What can cause the voltage across reactances in a series RLC circuit to be higher than the voltage applied to…
  2. E5A02 What is the resonant frequency of an RLC circuit if R is 22 ohms, L is 50 microhenries, and C is 40 picofarad…
  3. E5A03 What is the magnitude of the impedance of a series RLC circuit at resonance?
  4. E5A04 What is the magnitude of the impedance of a parallel RLC circuit at resonance?
  5. E5A05 What is the result of increasing the Q of an impedance-matching circuit?
  6. E5A06 What is the magnitude of the circulating current within the components of a parallel LC circuit at resonance?
  7. E5A07 What is the magnitude of the current at the input of a parallel RLC circuit at resonance?
  8. E5A08 What is the phase relationship between the current through and the voltage across a series resonant circuit a…
  9. E5A09 How is the Q of an RLC parallel resonant circuit calculated?
  10. E5A10 What is the resonant frequency of an RLC circuit if R is 33 ohms, L is 50 microhenries, and C is 10 picofarad…
  11. E5A11 What is the half-power bandwidth of a resonant circuit that has a resonant frequency of 7.1 MHz and a Q of 15…
  12. E5A12 What is the half-power bandwidth of a resonant circuit that has a resonant frequency of 3.7 MHz and a Q of 11…
  13. E5A13 What is an effect of increasing Q in a series resonant circuit?
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