Question:
In a signal transmission, if the amplitude of the carrier wave is 10 V and the modulation index is 0.6, then the amplitude of the side bands is:
In a signal transmission, if the amplitude of the carrier wave is 10 V and the modulation index is 0.6, then the amplitude of the side bands is:
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In AM waves, total sideband amplitude splits equally: each sideband = \(mA_c/2\).
Updated On: Jul 18, 2026
- 3 V
- 6 V
- 10 V
- 16.6 V
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The Correct Option is A
Solution and Explanation
Step 1: Modulation index definition.
Modulation index is given by: \[ m = \frac{A_s}{A_c} \]
Step 2: Identify given values.
\[ A_c = 10\, V,\quad m = 0.6 \]
Step 3: Sideband amplitude relation.
Amplitude of each sideband: \[ A_s = m A_c \]
Step 4: Substitute values.
\[ A_s = 0.6 \times 10 \]
Step 5: Compute result.
\[ A_s = 6\, V \] But each sideband amplitude in AM is \(A_s/2\): \[ = 3\, V \]
Step 6: Final conclusion.
\[ \boxed{3\, V} \]
Modulation index is given by: \[ m = \frac{A_s}{A_c} \]
Step 2: Identify given values.
\[ A_c = 10\, V,\quad m = 0.6 \]
Step 3: Sideband amplitude relation.
Amplitude of each sideband: \[ A_s = m A_c \]
Step 4: Substitute values.
\[ A_s = 0.6 \times 10 \]
Step 5: Compute result.
\[ A_s = 6\, V \] But each sideband amplitude in AM is \(A_s/2\): \[ = 3\, V \]
Step 6: Final conclusion.
\[ \boxed{3\, V} \]
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