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RC phase-shift oscillator

Oscillators · Advanced · about 20 minutes · part of Electronics Engineering

Three RC sections each delay the signal; at one frequency they add up to 180°. An inverting amplifier adds the other 180°, so the loop is positive feedback at exactly that frequency and the circuit rings into a steady sine.

RC phase-shift oscillator: the circuit on the simulator's bench

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How it works

For three equal sections fed from the output, the loop phase is 180° at

f = 1 ÷ (2π · R · C · √6) = 650 Hz

where the network passes 1/29 of the signal, so the amplifier needs a gain above 29: here R_f ÷ R3 = 30.

Try it on the bench

  1. Reduce R_f to 270 kΩ (gain 27): the oscillation dies away, because the loop gain is below 1.
  2. Double all three capacitors: the frequency halves.

Parts on the bench

In the course

Electronics Engineering, module “Oscillators and timing”.

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