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What will be the upper sideband and lower sideband frequencies for amplitude modulation of a 5-kHz signal with 40-kHz carrier frequency?
- a)42.5 kHz and 37.5 kHz, respectively
- b)45 kHz and 35 kHz, respectively
- c)50 kHz and 30 kHz, respectively
- d)25 kHz and 15 kHz, respectively
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
What will be the upper sideband and lower sideband frequencies for amp...
Introduction:
In amplitude modulation (AM), the information signal is modulated onto a higher frequency carrier signal. This modulation process generates two sidebands, known as the upper sideband (USB) and lower sideband (LSB). The frequencies of these sidebands can be determined using the formula:
Sideband frequencies:
The sideband frequencies are calculated using the formula:
USB = Carrier frequency + Modulating frequency
LSB = Carrier frequency - Modulating frequency
Given data:
Carrier frequency = 40 kHz
Modulating frequency = 5 kHz
Calculations:
Using the given formula, we can calculate the sideband frequencies as follows:
USB = 40 kHz + 5 kHz = 45 kHz
LSB = 40 kHz - 5 kHz = 35 kHz
Therefore, the upper sideband frequency is 45 kHz, and the lower sideband frequency is 35 kHz.
Explanation:
In amplitude modulation, the modulating signal is used to vary the amplitude of the carrier signal. The modulation process generates two sidebands, which are essentially the modulating signal shifted in frequency. The USB is located above the carrier frequency, while the LSB is located below the carrier frequency.
In this case, the carrier frequency is 40 kHz, and the modulating frequency is 5 kHz. We can calculate the sideband frequencies by adding or subtracting the modulating frequency from the carrier frequency.
The USB is obtained by adding the modulating frequency to the carrier frequency:
USB = 40 kHz + 5 kHz = 45 kHz
Similarly, the LSB is obtained by subtracting the modulating frequency from the carrier frequency:
LSB = 40 kHz - 5 kHz = 35 kHz
Therefore, the upper sideband frequency is 45 kHz, and the lower sideband frequency is 35 kHz. This means that the modulating signal will be present at these frequencies when using amplitude modulation with a carrier frequency of 40 kHz and a modulating frequency of 5 kHz.
In amplitude modulation (AM), the information signal is modulated onto a higher frequency carrier signal. This modulation process generates two sidebands, known as the upper sideband (USB) and lower sideband (LSB). The frequencies of these sidebands can be determined using the formula:
Sideband frequencies:
The sideband frequencies are calculated using the formula:
USB = Carrier frequency + Modulating frequency
LSB = Carrier frequency - Modulating frequency
Given data:
Carrier frequency = 40 kHz
Modulating frequency = 5 kHz
Calculations:
Using the given formula, we can calculate the sideband frequencies as follows:
USB = 40 kHz + 5 kHz = 45 kHz
LSB = 40 kHz - 5 kHz = 35 kHz
Therefore, the upper sideband frequency is 45 kHz, and the lower sideband frequency is 35 kHz.
Explanation:
In amplitude modulation, the modulating signal is used to vary the amplitude of the carrier signal. The modulation process generates two sidebands, which are essentially the modulating signal shifted in frequency. The USB is located above the carrier frequency, while the LSB is located below the carrier frequency.
In this case, the carrier frequency is 40 kHz, and the modulating frequency is 5 kHz. We can calculate the sideband frequencies by adding or subtracting the modulating frequency from the carrier frequency.
The USB is obtained by adding the modulating frequency to the carrier frequency:
USB = 40 kHz + 5 kHz = 45 kHz
Similarly, the LSB is obtained by subtracting the modulating frequency from the carrier frequency:
LSB = 40 kHz - 5 kHz = 35 kHz
Therefore, the upper sideband frequency is 45 kHz, and the lower sideband frequency is 35 kHz. This means that the modulating signal will be present at these frequencies when using amplitude modulation with a carrier frequency of 40 kHz and a modulating frequency of 5 kHz.
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Community Answer
What will be the upper sideband and lower sideband frequencies for amp...
Concept:
An amplitude modulation spectrum is represented as:
fc = Carrier Frequency
fm = Signal frequency
fc + fm = Upper Sideband
fc - fm = Lower Sideband
Analysis:
Given fc = 40 kHz and fm = 5 kHz
The upper and lower sidebands after Amplitude modulation will be:
Upper Sideband = fc + fm = 40 + 5 kHz = 45 kHz
Lower Sideband = fc - fm = 40 - 5 kHz = 35 kHz
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What will be the upper sideband and lower sideband frequencies for amplitude modulation of a 5-kHz signal with 40-kHz carrier frequency?a)42.5 kHz and 37.5 kHz, respectivelyb)45 kHz and 35 kHz, respectivelyc)50 kHz and 30 kHz, respectivelyd)25 kHz and 15 kHz, respectivelyCorrect answer is option 'B'. Can you explain this answer?
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