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E6D02

CIRCUIT COMPONENTS · Inductors and piezoelectricity: permeability, core material and configuration; transformers; piezoelectric devices

E6D02E6D →

What is the equivalent circuit of a quartz crystal?

  1. ASeries RLC in parallel with a shunt C representing electrode and stray capacitance
  2. BParallel RLC, where C is the parallel combination of resonance capacitance of the crystal and electrode and stray capacitance
  3. CSeries RLC, where C is the parallel combination of resonance capacitance of the crystal and electrode and stray capacitance
  4. DParallel RLC, where C is the series combination of resonance capacitance of the crystal and electrode and stray capacitance
Why A quartz crystal's mechanical resonance is modeled electrically by a motional arm of series L, C and R, where L represents the vibrating mass, C the mechanical stiffness, and R the mechanical losses. Across that arm sits a separate shunt capacitance C0 formed by the metal electrodes plated on the quartz plus holder and stray capacitance. This Butterworth-Van Dyke model is why a crystal has two closely spaced resonances: a series resonance from the motional L and C, and a slightly higher parallel (antiresonant) point where the motional arm looks inductive and resonates with the shunt C0.
Watch out The choices that lump the electrode and stray capacitance together with the motional capacitance into one RLC branch miss the point: the shunt capacitance must be a separate parallel element, since it is what creates the second, parallel resonance and the gap between the two resonant frequencies.
Crystal = series RLC motional arm with the electrode C hung across it. Two Cs, two resonances.
HamSandwich explanation, first draft. The question and answers are the NCVEC text.
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The rest of E6D

  1. E6D01 What is piezoelectricity?
  2. E6D02 What is the equivalent circuit of a quartz crystal?
  3. E6D03 Which of the following is an aspect of the piezoelectric effect?
  4. E6D04 Why are cores of inductors and transformers sometimes constructed of thin layers?
  5. E6D05 How do ferrite and powdered iron compare for use in an inductor core?
  6. E6D06 What core material property determines the inductance of an inductor?
  7. E6D08 Which of the following materials has the highest temperature stability of its magnetic characteristics?
  8. E6D09 What devices are commonly used as VHF and UHF parasitic suppressors at the input and output terminals of a tr…
  9. E6D10 What is a primary advantage of using a toroidal core instead of a solenoidal core in an inductor?
  10. E6D11 Which type of core material decreases inductance when inserted into a coil?
  11. E6D12 What causes inductor saturation?
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