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  4. The carrier frequency generated by a circuit containing 1 nF capacitor and 10 μ H inductor is

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Q. The carrier frequency generated by a circuit containing $1 \, nF$ capacitor and $10 \, \mu H$ inductor is

NTA AbhyasNTA Abhyas 2020Semiconductor Electronics: Materials Devices and Simple Circuits

Solution:

$C=1 \, nF=10^{- 9}F, \, L=10μH=10^{- 5}H$
$f=\frac{1}{2 \pi \sqrt{LC}}=\frac{1}{2 \pi \sqrt{10^{- 5} \times 10^{- 9}}}=\frac{10^{7}}{2 \pi }$
$=159.2\times 10^{4} \, Hz=1592 \, kHz$