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RC Phase-Shift Oscillator


RC Phase-Shift Oscillator Frequency

Formula: 1 / (2 π R C √6)

The formula:

f = 1 / (2 π R C √6)

is commonly seen in RC oscillator circuits, specifically in the frequency of a phase-shift oscillator using three RC sections.

Explanation

  • For a phase-shift oscillator with 3 identical RC sections:

    f = 1 / (2 π R C √6)

  • Where:
    • R = resistance in ohms
    • C = capacitance in farads
    • f = frequency of oscillation in Hz
  • The factor √6 comes from the total phase shift of 180° provided by the 3 RC networks to satisfy the Barkhausen criterion, along with the 180° inversion of the amplifier.

So this is specifically the frequency formula for a 3-stage RC phase-shift oscillator.

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