The Colpitts oscillators
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A sinusoidal oscillator consists basically of an amplifier and a phase shifting network, the amplifier receives the output of the phase-shifting network, amplifies it phase shifts it through 180 and applies it to the input of the network. The network phase shift the amplifier output through another180 Before applying it back to the amplifier input When the amplifier gain equals the inverse of the network attenuation and the amplifier phase shift equals the network phase shift, the circuit is amplifying an input signal to produce an output which is attenuated to become the input signal. The circuit is generating its own input, an a state of oscillation exists.