If a 1500 kHz radio wave is modulated by a 2000 Hz sine wave tone, what frequencies does the modulated wave contain?

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Multiple Choice

If a 1500 kHz radio wave is modulated by a 2000 Hz sine wave tone, what frequencies does the modulated wave contain?

Explanation:
When a carrier wave, such as a 1500 kHz radio wave, is modulated by a sine wave tone, the modulation process creates sidebands around the carrier frequency. The basic principle of amplitude modulation (AM) states that the frequencies of the modulated signal will consist of the carrier frequency plus and minus the modulation frequency. In this case, the carrier frequency of 1500 kHz corresponds to 1500,000 Hz. When this carrier is modulated by a sine wave tone of 2000 Hz, the modulated wave will produce two side frequencies. These are calculated by adding and subtracting the modulation frequency from the carrier frequency: - The upper side frequency is found by adding the modulation frequency: 1500,000 Hz + 2000 Hz = 1502,000 Hz (or 1502 kHz). - The lower side frequency is found by subtracting the modulation frequency: 1500,000 Hz - 2000 Hz = 1498,000 Hz (or 1498 kHz). Therefore, the modulated wave contains the original carrier frequency of 1500 kHz, as well as the two side frequencies of 1502 kHz and 1498 kHz. This

When a carrier wave, such as a 1500 kHz radio wave, is modulated by a sine wave tone, the modulation process creates sidebands around the carrier frequency. The basic principle of amplitude modulation (AM) states that the frequencies of the modulated signal will consist of the carrier frequency plus and minus the modulation frequency.

In this case, the carrier frequency of 1500 kHz corresponds to 1500,000 Hz. When this carrier is modulated by a sine wave tone of 2000 Hz, the modulated wave will produce two side frequencies. These are calculated by adding and subtracting the modulation frequency from the carrier frequency:

  • The upper side frequency is found by adding the modulation frequency:

1500,000 Hz + 2000 Hz = 1502,000 Hz (or 1502 kHz).

  • The lower side frequency is found by subtracting the modulation frequency:

1500,000 Hz - 2000 Hz = 1498,000 Hz (or 1498 kHz).

Therefore, the modulated wave contains the original carrier frequency of 1500 kHz, as well as the two side frequencies of 1502 kHz and 1498 kHz.

This

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