Derivation of Frequency of Oscillations for Clapp Oscillator

CLAPP OSCILLATOR

Circuit Diagram of Clapp Oscillator

Analysis:

To have sustained oscillations Aβ = 1. Using this General form of LC Oscillator is determined as

(Z1+Z2+Z3)hie + Z1Z2+Z1Z3 = 0                                                     --> (1)

Here, Z1 = 1/jwC1, Z2 = 1/jwC2, & Z3 = jwL + 1/jwC3.

Substituting Z1, Z2 & Z3 in eq (1)

then frequency of oscillation can be calculated as fo = 1/2π√LC

Where