Question:
The amplitude of the side bands of the modulated signal if the carrier signal and message signal amplitudes are 25 V and 5 V respectively is:
The amplitude of the side bands of the modulated signal if the carrier signal and message signal amplitudes are 25 V and 5 V respectively is:
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For AM signals: Sideband amplitude \(A_{\text{SB}} = \frac{A_m}{2}\), where \(A_m\) is message amplitude.
Updated On: Jul 18, 2026
- 0.5 V
- 2.5 V
- 0.2 V
- 5 V
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The Correct Option is B
Solution and Explanation
Step 1: Recall amplitude modulation (AM) formula.
The amplitude of the side bands in AM is given by:
\[ A_{\text{sideband}} = \frac{A_m}{2} \]
where \(A_m\) is the amplitude of the message signal and \(A_c\) is carrier amplitude.
Step 2: Check modulation index.
\[ m = \frac{A_m}{A_c} = \frac{5}{25} = 0.2 \]
Step 3: Compute sideband amplitude.
\[ A_{\text{SB}} = \frac{A_c \cdot m}{1} = A_c \cdot \frac{A_m}{A_c} = A_m / 2 \]
Step 4: Substitute values.
\[ A_{\text{SB}} = \frac{5 \, \text{V}}{2} = 2.5 \, \text{V} \]
Step 5: Verify.
Sideband amplitude consistent with AM theory.
Step 6: Final conclusion.
\[ \boxed{2.5 \, \text{V}} \]
The amplitude of the side bands in AM is given by:
\[ A_{\text{sideband}} = \frac{A_m}{2} \]
where \(A_m\) is the amplitude of the message signal and \(A_c\) is carrier amplitude.
Step 2: Check modulation index.
\[ m = \frac{A_m}{A_c} = \frac{5}{25} = 0.2 \]
Step 3: Compute sideband amplitude.
\[ A_{\text{SB}} = \frac{A_c \cdot m}{1} = A_c \cdot \frac{A_m}{A_c} = A_m / 2 \]
Step 4: Substitute values.
\[ A_{\text{SB}} = \frac{5 \, \text{V}}{2} = 2.5 \, \text{V} \]
Step 5: Verify.
Sideband amplitude consistent with AM theory.
Step 6: Final conclusion.
\[ \boxed{2.5 \, \text{V}} \]
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