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Semiconductor Electronics: Materials, Devices and Simple Circuits

Modulating and demodulating

A signal A t is transmitted using v_{0} _{0} t as carrier w

Question

Medium

Solving time: 3 mins

A signal $A cos ω t$ is transmitted using $v_{0} sin ω_{0} t$ as carrier wave. The correct amplitude modulated (AM) signal is
(a) $(v_{0} sin ω_{0} t + A cos ω t$
(b) $(v_{0} + A) cos ω t sin ω_{0} t$
(c) $v_{0} sin [ω_{0} (1 + 0.01 A sin ω t) t]$
(d) $v_{0} sin ω_{0} t + \frac{A}{2} sin (ω_{0} - ω) t + \frac{A}{2} sin (ω_{0} + ω) t$

Name: Video solution 1: A signal Acosωt is transmitted using v0sinω0t as carrier wave. The correct amplitude modulated (AM) signal is(a) (v0sinω0t+Acosωt(b) (v0+A)cosωtsinω0t(c) v0sin[ω0(1+0.01Asinωt)t](d) v0sinω0t+2Asin(ω0−ω)t+2Asin(ω0+ω)t
Uploaded: 2023-01-11T07:22:32.000Z
Duration: 4 min
Description: Video solution 1: A signal Acosωt is transmitted using v0sinω0t as carrier wave. The correct amplitude modulated (AM) signal is(a) (v0sinω0t+Acosωt(b) (v0+A)cosωtsinω0t(c) v0sin[ω0(1+0.01Asinωt)t](d) v0sinω0t+2Asin(ω0−ω)t+2Asin(ω0+ω)t

Views: 5,881 students

Updated on: Jan 11, 2023

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2019

Found 6 tutors discussing this question

Harper Discussed

A signal

A cos ω t

is transmitted using

v_{0} sin ω_{0} t

as carrier wave. The correct amplitude modulated (AM) signal is
(a)

(v_{0} sin ω_{0} t + A cos ω t

(b)

(v_{0} + A) cos ω t sin ω_{0} t

(c)

v_{0} sin [ω_{0} (1 + 0.01 A sin ω t) t]

(d)

v_{0} sin ω_{0} t + \frac{A}{2} sin (ω_{0} - ω) t + \frac{A}{2} sin (ω_{0} + ω) t

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

Exp. (d)
Given, modulating signal,

A_{m} = A cos ω t

Carrier wave,

A_{c} = v_{0} sin ω_{0} t

In amplitude modulation, modulated wave is given by

Y_{m} = [A_{0} + A_{m}] sin ω_{0} t

where,

A_{0}

is amplitude of the carrier wave (given as

v_{0}

)

∴ Y_{m} = [v_{0} + A cos ω t] sin ω_{0} t

= v_{0} sin ω_{0} t + A sin ω_{0} t cos ω t

= v_{0} sin ω_{0} t + \frac{A}{2} [sin (ω_{0} + ω) t + sin (ω_{0} - ω) t]

= v_{0} sin ω_{0} t + \frac{A}{2} sin (ω_{0} - ω) t + \frac{A}{2} sin (ω_{0} + ω) t

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Question Text	A signal $A cos ω t$ is transmitted using $v_{0} sin ω_{0} t$ as carrier wave. The correct amplitude modulated (AM) signal is (a) $(v_{0} sin ω_{0} t + A cos ω t$ (b) $(v_{0} + A) cos ω t sin ω_{0} t$ (c) $v_{0} sin [ω_{0} (1 + 0.01 A sin ω t) t]$ (d) $v_{0} sin ω_{0} t + \frac{A}{2} sin (ω_{0} - ω) t + \frac{A}{2} sin (ω_{0} + ω) t$
Updated On	Jan 11, 2023
Topic	Semiconductor Electronics: Materials, Devices and Simple Circuits
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 1
Upvotes	242
Avg. Video Duration	4 min

Text solutionVerified

Filo tutor solutions (1)

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A signal Acosωt is transmitted using v0​sinω0​t as carrier wave. The correct amplitude modulated (AM) signal is(a) (v0​sinω0​t+Acosωt(b) (v0​+A)cosωtsinω0​t(c) v0​sin[ω0​(1+0.01Asinωt)t](d) v0​sinω0​t+2A​sin(ω0​−ω)t+2A​sin(ω0​+ω)t

Text solutionVerified

Filo tutor solutions (1)

Questions from JEE Mains 2019 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

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