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JEE Main 20211 SeptemberEvening Shift
Exam
JEE Main
Year
2021
Date
1 September
Shift
Evening Shift
Subject
Physics
Chapter
Communication System

JEE Main 2021 · 1 September · Evening Shift · Physics · Communication System

A carrier wave with amplitude of 250V is amplitude modulated by a...

A carrier wave with amplitude of 250V250V is amplitude modulated by a sinusoidal base band signal of amplitude 150V.150V . The ratio of minimum amplitude to maximum amplitude for the amplitude modulated wave is 50:x,50: x, then value of x,x, is _________ .

Correct answer

200

Step-by-step solution

The value of maximum amplitude, {A}_\max = {A}_{c} + {A}_{m} = \left(250 + 150\right)V = 400V
, and the value of minimum amplitude,{A}_\min = {A}_{c} - {A}_{m} = \left(250 - 150\right)V = 100V
⇒ \dfrac{{A}_\min}{{A}_\max} = \dfrac{100V}{400V} = \dfrac{1}{4} = \dfrac{50}{200}⇒x=200V⇒ x = 200V
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