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  • Help me understand! The carrier frequency of a transmitter is provided by a tank circuit of a coil of inductance 49 µH and a capacitance of 2.5 nF. It is modulated by an audio signal of 12 kHz. The frequency range occupied by the side bands is

The carrier frequency of a transmitter is provided by a tank circuit of a coil of inductance 49 µH and a capacitance of 2.5 nF. It is modulated by an audio signal of 12 kHz. The frequency range occupied by the side bands is :

  • Option 1)

    13482 kHz − 13494 kHz

  • Option 2)

    442 kHz − 466 kHz

  • Option 3)

    63 kHz − 75 kHz

  • Option 4)

    18 kHz − 30 kHz

 

Answers (2)

best_answer

As we learnt

Side band frequency -

AM wave contains three frequency f_{c},\left ( f_{c}+f_{m} \right )\: and \: \left ( f_{c}-f_{m} \right )

 

- wherein

f_{c} is carrier frequency, f_{c} -f_{m} \:and\: f_{c}+f_{m} are side band frequency.

 

 \omega =\frac{1}{\sqrt{LC}}=\frac{1}{\sqrt{49*10^{-6}*2.5*10^{-9}}}=\frac{10^{8}}{35}

v_{c}=\frac{\omega }{2\Pi }=\frac{10^{8}}{35*2*\frac{22}{7}}=\frac{10^{7}}{22}=454KHz

v_{m}=12KHz

Modulating Frequency =(454-12) to (454+12)KHz

                                         =442-466KHz


Option 1)

13482 kHz − 13494 kHz

Option 2)

442 kHz − 466 kHz

Option 3)

63 kHz − 75 kHz

Option 4)

18 kHz − 30 kHz

Posted by

Plabita

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