A signal A\; cos\omega t is transmitted using v_{_{0}}sin\omega _{0}t as carrier wave. The correct amplitude modulated (AM) signal is :

  • Option 1)

    v_{0}sin\omega _{0}t+\frac{A}{2}sin\left ( \omega _{0}-\omega \right )t+\frac{A}{2}sin\left ( \omega _{0}+\omega \right )t

     

     

     

     

  • Option 2)

     v_{0}sin\left [ \omega _{0}\left ( 1+0.01Asin\omega t \right )t \right ]

  • Option 3)

    \left ( v_{0}+A \right )cos\omega t\; sin\omega_{0}t

  • Option 4)

     \left ( v_{0} +A\right )cos\omega t\; \; sin\omega _{0}t

 

Answers (1)

Amplitude modulated signal

=E_{c}sin\omega _{c}t +\frac{mE_{c}}{2}cos \left ( \omega _{c}-\omega _{m} \right )t

                            -\; \frac{mE_{c}}{2}cos \left ( \omega _{c}+\omega _{m} \right )t

E_{c}=amplitude\; of \; carrier\; wave=V_{0}

m=\frac{E_{m}}{E_{c}}=\frac{A}{V_{0}}

there for

AM signal is given by

V_{0}sin\omega _{0}t+\frac{A}{2}sin\left ( \omega _{0}-\omega \right )t+\frac{A}{2}sin \left ( \omega _{0}+\omega \right )t


Option 1)

v_{0}sin\omega _{0}t+\frac{A}{2}sin\left ( \omega _{0}-\omega \right )t+\frac{A}{2}sin\left ( \omega _{0}+\omega \right )t

 

 

 

 

Option 2)

 v_{0}sin\left [ \omega _{0}\left ( 1+0.01Asin\omega t \right )t \right ]

Option 3)

\left ( v_{0}+A \right )cos\omega t\; sin\omega_{0}t

Option 4)

 \left ( v_{0} +A\right )cos\omega t\; \; sin\omega _{0}t

Preparation Products

Knockout JEE Main April 2021

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 22999/- ₹ 14999/-
Buy Now
Knockout JEE Main April 2022

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 34999/- ₹ 24999/-
Buy Now
Test Series JEE Main April 2021

Take chapter-wise, subject-wise and Complete syllabus mock tests and get in depth analysis of your test..

₹ 6999/- ₹ 4999/-
Buy Now
JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
Buy Now
Test Series JEE Main April 2022

Take chapter-wise, subject-wise and Complete syllabus mock tests and get an in-depth analysis of your test..

₹ 6999/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
 
Exams
Articles
Questions