Discussion
A Colpitts uses \( C_{1} = 100 \ \mathrm{pF} \) and \( C_{2} = 1000 \ \mathrm{pF} \). Its feedback fraction is about
Answer: C
The fraction returned is set by the capacitor ratio:
\[ \beta = \frac{C_{1}}{C_{2}} = \frac{100}{1000} = 0.1 \]
giving 0.1, so the amplifier must supply a gain of at least ten. Inverting the ratio gives ten, which would be a fraction greater than one and is impossible for a passive divider. Checking that a computed fraction lies below one is a quick test that catches the inversion immediately.
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