Question:
For an amplitude modulated wave the minimum amplitude is 3V, while the modulation index is 60%. The maximum amplitude of the modulated wave is
For an amplitude modulated wave the minimum amplitude is 3V, while the modulation index is 60%. The maximum amplitude of the modulated wave is
Updated On: Mar 21, 2025
- 5 V
- 10 V
- 12 V
- 15 V
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The Correct Option is C
Solution and Explanation
Given, modulation index \(m = 60\% = 0.6\) and minimum amplitude \(A_c = 3 \, V\).
Using the formula for amplitude modulation: \[ A_m = mA_c \] The maximum amplitude of the modulated wave is: \[ A_m + A_c = 0.6 \times 1 + 3 = 1.6 \, \text{V} \] Now applying the amplitude formula: \[ A_m + A_c = \frac{1.6}{-0.4} = 12 \, \text{V} \]
Using the formula for amplitude modulation: \[ A_m = mA_c \] The maximum amplitude of the modulated wave is: \[ A_m + A_c = 0.6 \times 1 + 3 = 1.6 \, \text{V} \] Now applying the amplitude formula: \[ A_m + A_c = \frac{1.6}{-0.4} = 12 \, \text{V} \]
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