An amplitude modulated signal is plotted below : Which one…

Physics Communication System ( Not In Syllabus ) JEE (Main) / AIEEE Problems ( Previous Years ) MCQ (Single Correct)

An amplitude modulated signal is plotted below :

Which one of the following best describes the above signal ?

(9 + sin(2.5 π × 10 5 t))sin(2 π × 10 4 t) V

(1 + 9sin(2 π × 10 4 t))sin(2.5 π × 10 5 t)V

(9 + sin(2 π × 10 4 t))sin(2.5 π × 10 5 t)V

(9 + sin(4 π × 10 4 t))sin(5 π × 10 5 t)V

Text Solution

Verified by Experts

The correct answer is:

ω s = = 2 π × 10 4 s –1

ω c = = 2.5 π × 10 5 s –1

V max = V c + V s = 10

V min = V c – V s = 8

∴ V c = 9mV

V s = 1mV

Equation of AM wave AM

V AM = (V c + V s sin ω s t) sin ω c t

= {9 + sin (2 π × 10 4 )t} × sin(2.5 π × 10 5 t) (In mV)

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