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Amplitude modulated wave is represented by 

\mathrm{V}_{\mathrm{AM}}=10\left[1+0.4 \cos \left(2 \pi \times 10^{4} \mathrm{t}\right)\right] \cos \left(2 \pi \times 10^{7} \mathrm{t}\right). The total bandwidth of the amplitude modulated wave is:

 

 

Option: 1

\mathrm{10 \; \mathrm{kHz}}


Option: 2

20 \, \, \mathrm{MHz}


Option: 3

20\, \, \mathrm{kHz}


Option: 4

10 \, \, \mathrm{MHz}


Answers (1)

best_answer

V_{A M}=10\left[1+0.4 \cos \left(2 \pi \times 10^{4} t\right)\right] \\

                 \times \cos \left(2\pi \times 10^{7} t\right] \\       

\omega \mathrm{=2 \pi f_{m}=2 \pi \times 10^{4} }

Bandwidth = 2\times f_{m}
                =2 \times 10^{4}=20 \mathrm{kHz} \\

Hence option 3 is correct.

Posted by

shivangi.shekhar

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