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An AM radio transmitter operating at 3.9 MHz is modulated by frequencies up to 4 kHz. What are the maximum upper and lower side frequencies. What is the total bandwidth of the AM signal

Respuesta :

Answer:

total width bandwidth = 8kHz

Explanation:

given data

transmitter operating = 3.9 MHz

frequencies up to =  4 kHz

solution

we get here upper side frequencies that is

upper side frequencies = 3.9 × [tex]10^{6}[/tex] + 4  × 10³

upper side frequencies = 3.904 MHz

and

now we get lower side frequencies that is

lower side frequencies = 3.9 × [tex]10^{6}[/tex] - 4  × 10³

lower side frequencies =  3.896 MHz

and now we get total width bandwidth

total width bandwidth = upper side frequencies  - lower side frequencies

total width bandwidth = 8kHz

fichoh

Based on the operating and modulated frequency given, the upper, lower and total bandwidth of the signal are ; 3.904 MHz, 3.896 MHz and 8 KHz respectively.

Given the Parameters :

  • Operating frequency = [tex] 3.9 \times 10^{6}[/tex]
  • Modulation = [tex] 4.0 \times 10^{3}[/tex]

The maximum upper side frequency :

  • Operating frequency + modulation

[tex] 3.9 \times 10^{6} + 4.0 \times 10^{3} = 3.904 MHz[/tex]

The Maximum lower side frequency :

  • Operating frequency - Modulation

[tex] 3.9 \times 10^{6} - 4.0 \times 10^{3} = 3.896 \times 10^{6} MHz[/tex]

The Bandwidth :

  • Maximum upper side - Maximum lower side frequency

[tex] 3.904 \times 10^{6} - 3.896 \times 10^{6} = 8000 Hz[/tex]

1000 Hz = 1 KHz

8000 Hz = 8 KHz

Hence, the total bandwidth is 8KHz

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