In the Colpitts Oscillator the feedback loop is a capacitive divider as shown in figure bellow. The frequency also depends on the LC circuit and the next formula is used to calculations.
Formula 1
Frequency:
Where:
f is the frequency in hertz (Hz)
Π is the constant 3.1416
C is the capacitance in farads (F)
L is the inductance in henry (H)
Application example:
Calculate the runing frequency of a Colpitts Oscillator where the LC circuit is formed by a 100 pF capacitor and a 100 µH coil.
Data:
L = 100 µH
C = 100 pF
f = ?
Applying formula 121.1: