A tuned circuit of a transistor oscillator unit has an inductance of $5 \mathrm{mH}$ and a capacitance of $5 \mathrm{pF}$. The natural frequency of the oscillator is

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Aicharya · Accepted Answer

For tuned circuit of a transistor oscillator unit, $\begin{aligned} & L=5 \mathrm{mH}=5 \times 10^{-3} \mathrm{H} \ & C=5 \mathrm{pF}=5 \times 10^{-12} \mathrm{~F} \end{aligned}$ $\therefore$ Natural frequency of tuned oscillator, $\begin{aligned} f & =\frac{1}{2 \pi \sqrt{L C}}=\frac{1}{2 \pi \sqrt{5 \times 10^{-3} \times 5 \times 10^{-12}}} \ & =\frac{1}{2 \pi \sqrt{2.5 \times 10^{-14}}} \ & =\frac{10^7}{2 \pi \sqrt{2.5}}=\frac{10}{9.93} \times 10^6 \mathrm{~Hz} \ & =1.006 \times 10^6 \mathrm{~Hz} \ & \approx 1 \times 10^6 \mathrm{~Hz}=1 \mathrm{MHz} \end{aligned}$

A tuned circuit of a transistor oscillator unit has an inductance of \(5 \mathrm{mH}\) and a capacitance of…

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