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Karnataka Board PUCPUC Science 2nd PUC Class 12

An amplitude modulated wave is as shown in figure. Calculate (i) the percentage modulation, (ii) peak carrier voltage and, (iii) peak value of information voltage.

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Question

An amplitude modulated wave is as shown in figure. Calculate

  1. the percentage modulation
  2. peak carrier voltage and
  3. peak value of information voltage.

Long Answer
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Solution

From the figure

`V_(max) = 100/2 = 50V, V_(min) = 20/2 = 10  V`.

i. Percentage modulation = `mu(%) = (V_(max) - V_(min))/(V_(max)  + V_(min)) xx 100`

= `((50  - 10)/(50 + 10)) xx 100`

= `40/60 xx 100`

= 66.67%

ii. Peak carrier voltage = `V_c = (V_(max) + V_(min))/2`

= `(50 + 10)/2`

= 30 V

iii. Peak information voltage = `V_m = muV_c`

= `2/3 xx 30`

= 20 V.

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Chapter 15: Communication Systems - Exercise [Page 104]

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NCERT Exemplar Physics Exemplar [English] Class 12
Chapter 15 Communication Systems
Exercise | Q 12.28 | Page 104

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