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  4. An AM transmitter employs a 50 μ H coil and a 1 nF capacitor. The carrier frequency will be

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Q. An AM transmitter employs a $50\, \mu H$ coil and a $1 nF$ capacitor. The carrier frequency will be

Communication Systems

Solution:

Here, $L =50\, \mu H =50 \times 10^{-6} H$
and $C =1 nF =10^{-9} F $
$f_{ C } =\frac{1}{2 \pi / \sqrt{L C}}=\frac{1}{2 \times \frac{22}{7} \sqrt{50 \times 10^{-6} \times 10^{-9}}} $
$ =\frac{7 \times 10^{7}}{44 \sqrt{5}} Hz =711.5\, Hz \approx 712\, kHz$