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  • For an amplitude modulated wave the minimum amplitude is 3 V, while the modulation index is 60%. The maximum amplitude of the modulated wave is :Option: 1

For an amplitude modulated wave the minimum amplitude is 3 V, while the modulation index is 60%. The
maximum amplitude of the modulated wave is :

Option: 1

10 V


Option: 2

12 V


Option: 3

15 V


Option: 4

5 V


Answers (1)

best_answer

Given, modulation index = 60% = 0.6

\frac{\mathrm{A}_{\mathrm{m}}}{\mathrm{A}_{\mathrm{c}}}=\frac{0.6}{1}

Using componendo – dividendo, we can write

\begin{aligned} & \frac{\mathrm{A}_{\mathrm{m}}+\mathrm{A}_{\mathrm{c}}}{\mathrm{A}_{\mathrm{m}}-\mathrm{A}_{\mathrm{c}}}=\frac{0.6+1}{0.6-1}=\frac{1.6}{-0.4} \\ & \mathrm{~A}_{\mathrm{m}}+\mathrm{A}_{\mathrm{c}}=\frac{1.6}{-0.4} \times\left(\mathrm{A}_{\mathrm{m}}-\mathrm{A}_{\mathrm{c}}\right) \end{aligned}

=\frac{1.6}{-0.4} \times(-3)=12 \mathrm{~V}

Posted by

SANGALDEEP SINGH

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