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E5A09

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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How is the Q of an RLC parallel resonant circuit calculated?

  1. AReactance of either the inductance or capacitance divided by the resistance
  2. BReactance of either the inductance or capacitance multiplied by the resistance
  3. CResistance divided by the reactance of either the inductance or capacitance
  4. DReactance of the inductance multiplied by the reactance of the capacitance
Why In a parallel RLC tank the resistance appears across the circuit, so a larger shunt resistance means less loss and a higher Q: Q = R / X, where X is the reactance of either the inductor or capacitor (they are equal at resonance). This is the reciprocal of the series case, where the resistance is in line with the reactance and Q = X / R. At resonance you can use either XL or XC since XL = XC.
Watch out The choice dividing reactance by resistance is the formula for a series resonant circuit; mixing the two up is the classic trap in this group.
Parallel: R is on top (R/X). Series: R is on the bottom (X/R). The R follows where it sits in the circuit.
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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