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E7C01

PRACTICAL CIRCUITS · Filters and matching networks: types of networks; types of filters; filter applications; filter characteristics; impedance matching

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How are the capacitors and inductors of a low-pass filter Pi-network arranged between the network's input and output?

  1. ATwo inductors are in series between the input and output, and a capacitor is connected between the two inductors and ground
  2. BTwo capacitors are in series between the input and output, and an inductor is connected between the two capacitors and ground
  3. CAn inductor is connected between the input and ground, another inductor is connected between the output and ground, and a capacitor is connected between the input and output
  4. DA capacitor is connected between the input and ground, another capacitor is connected between the output and ground, and an inductor is connected between the input and output
Why A Pi-network is named for the shape of the Greek letter pi: two vertical legs to ground with a horizontal element bridging them. For a low-pass version, the shunt legs must be capacitors (low reactance to high frequencies, shorting them to ground) and the series element must be an inductor (high reactance to high frequencies, blocking them from reaching the output). Low frequencies pass straight through the coil while the capacitors look like open circuits, so the network passes the low end and attenuates the high end. This is the classic tube amplifier output tank arrangement used for both harmonic suppression and impedance matching.
Watch out Two inductors in series with a capacitor to ground is also a low-pass filter, but it forms a T-network, not a Pi; the two series capacitors with a shunt inductor is a high-pass T.
Pi = two legs down, one bar across. Low-pass Pi: caps are the legs to ground, coil is the bar.
HamSandwich explanation, first draft. The question and answers are the NCVEC text.
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The rest of E7C

  1. E7C01 How are the capacitors and inductors of a low-pass filter Pi-network arranged between the network's input and…
  2. E7C02 What is the frequency response of a T-network with series capacitors and a shunt inductor?
  3. E7C03 What is the purpose of adding an inductor to a Pi-network to create a Pi-L-network?
  4. E7C04 How does an impedance-matching circuit transform a complex impedance to a resistive impedance?
  5. E7C05 Which filter type has ripple in the passband and a sharp cutoff?
  6. E7C06 What are the characteristics of an elliptical filter?
  7. E7C07 Which describes a Pi-L network?
  8. E7C08 Which of the following is most frequently used as a band-pass or notch filter in VHF and UHF transceivers?
  9. E7C09 What is a crystal lattice filter?
  10. E7C10 Which of the following filters is used in a 2-meter band repeater duplexer?
  11. E7C11 Which of the following measures a filter's ability to reject signals in adjacent channels?
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