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This Colpitts calculator will compute the values of
Ctop and Cbot, providing you supply the oscillator
frequency, inductance value of the coil (L), and beta.
The feedback ratio is usually 1:10, therefore beta is 0.1
\( f_0 = \frac{1}{2 \cdot \pi \cdot \sqrt{L \cdot \left( \frac{C_{\text{top}}
\cdot C_{\text{bot}}}{C_{\text{top}} + C_{\text{bot}}} \right)}} \)
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\( L = \left( \frac{\text{Radius}^2
\cdot \text{Turns}^2}{9
\cdot \text{Radius} + 10
\cdot \text{Length}} \right) \)
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