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A sinusoidal carrier voltage is amplitude modulated. The resultant amplitude modulated wave has maximum and minimum amplitude of 120 V and 80 V respectively. The amplitude of each side band is :

Option: 1

20 \mathrm{~V}


Option: 2

15 \mathrm{~V}


Option: 3

10 \mathrm{~V}


Option: 4

5 \mathrm{~V}


Answers (1)

best_answer

\begin{aligned} & \mathrm{V}_{\max }=\mathrm{V}_{\mathrm{m}}+\mathrm{V}_{\mathrm{c}} \\ & 120=\mathrm{V}_{\mathrm{c}}+\mathrm{V}_{\mathrm{m}} ....(1) \\ & \mathrm{V}_{\min }=\mathrm{V}_{\mathrm{c}}-\mathrm{V}_{\mathrm{m}} \\ & 80=\mathrm{V}_{\mathrm{c}}-\mathrm{V}_{\mathrm{m}}....(2) \\ & (1)+(2) \\ & 200=2 \mathrm{~V}_{\mathrm{c}} \Rightarrow \mathrm{V}_{\mathrm{c}}=100 \\ & \mathrm{~V}_{\mathrm{M}}=120-100=20 \Rightarrow(2) \\ & \mu=\frac{\mathrm{V}_{\mathrm{m}}}{\mathrm{V}_{\mathrm{c}}}=\frac{20}{100}=0.2 \end{aligned}

The amplitude of the side bond =\frac{\mu \mathrm{A}_{\mathrm{c}}}{2}=0.2 \times \frac{100}{2}=10 \mathrm{~V}

 

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SANGALDEEP SINGH

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