Colpitt's Oscillator

Materials §

• voltage source
• 5 resistors
  • 8.2k, 1.5k, 1.2k, 1k, emitter resistor
• 5 capacitors
  • 2 x 1$\mu f$ (bypass)
  • 4.7nf
  • 47nf
  • 1 emitter bypass resistor
• 1 indcutor
  • 1mh
• oscilloscope (or radio)\

Derivation §

LC §

We want 150 khz

$$\begin{array}{rl}f& =\frac{1}{2\pi \sqrt{LC}}\\ 150000& =\frac{1}{2\pi \sqrt{L{C}_{total}}}\\ ⟹C_{total}& =\frac{1}{9\cdot 10^{10}{\pi }^{2}L}\\ ⟹\frac{C_1{C}_2}{C_1+C_2}& =\frac{1}{9\cdot 10^{10}{\pi }^{2}L}\end{array}$$

We want feedback ratio to roughly be 1/3

$$C_1/$$