If a 1500 kHz radio wave is modulated by a 2000 Hz sine wave tone, what frequencies does the modulated wave contain?
• Amplitude modulation (AM) creates two side frequencies around the carrier frequency • The carrier frequency stays the same; the modulation adds frequencies above and below the carrier • Remember 1 kHz = 1000 Hz, and how to convert between Hz, kHz, and MHz
• What is the carrier frequency in Hz, and what is the modulation tone frequency in Hz? Add and subtract the tone from the carrier: what two side frequencies do you get? • Once you have the three frequencies in Hz (carrier and two sidebands), how do you correctly express them in kHz or MHz? • Look at the answer choices and ask: which one shows the right numerical values with the correct units (kHz, MHz, Hz)?
• Convert 1500 kHz to Hz before adding or subtracting 2000 Hz so units match • After finding the sideband frequencies in Hz, reconvert to kHz or MHz carefully • Check that the correct option has the right base frequency, the right sideband spacing, and the correct units (don’t mix up kHz, MHz, and Hz)
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