Question:
A message signal of frequency 3kHz is used to modulate a carrier signal of frequency 1.5 MHz. The bandwidth of the amplitude modulated wave is
A message signal of frequency 3kHz is used to modulate a carrier signal of frequency 1.5 MHz. The bandwidth of the amplitude modulated wave is
Updated On: Mar 21, 2025
- 6 MHz
- 3 MHz
- 3 kHz
- 6 kHz
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The Correct Option is D
Solution and Explanation
Step 1: Understanding the concept of bandwidth in amplitude modulation.
In Amplitude Modulation (AM), the bandwidth of the modulated signal is determined by the frequency of the message signal. The formula for the bandwidth of an AM signal is given by: \[ \text{Bandwidth of AM signal} = 2 \times f_{\text{message signal}} \] Where \( f_{\text{message signal}} \) is the frequency of the message signal being used to modulate the carrier wave. Step 2: Applying the given values.
From the problem, we are given that the message signal frequency is \( f_{\text{message signal}} = 3 \, \text{kHz} \). Now, using the formula for bandwidth: \[ \text{Bandwidth of AM signal} = 2 \times 3 \, \text{kHz} = 6 \, \text{kHz} \]
In Amplitude Modulation (AM), the bandwidth of the modulated signal is determined by the frequency of the message signal. The formula for the bandwidth of an AM signal is given by: \[ \text{Bandwidth of AM signal} = 2 \times f_{\text{message signal}} \] Where \( f_{\text{message signal}} \) is the frequency of the message signal being used to modulate the carrier wave. Step 2: Applying the given values.
From the problem, we are given that the message signal frequency is \( f_{\text{message signal}} = 3 \, \text{kHz} \). Now, using the formula for bandwidth: \[ \text{Bandwidth of AM signal} = 2 \times 3 \, \text{kHz} = 6 \, \text{kHz} \]
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