Question

Identify the mathematical expression for amplitude modulated wave.

• A. $A_{c} sin\left[\left\{\omega_{c} + k_{1}v_{m}\left(t\right)\right\}t + \phi\right]$
• B. $A_{c} sin\left\{\omega_{c} t+ \phi + k_{2}v_{m}\left(t\right)\right\}$
• C. $\left\{A_{c} + k_{2}v_{m}\left(t\right)\right\}sin \left(\omega_{c} t+ \phi \right)$
• D. $A_{c} v_{m}\left(t\right)sin \left(\omega_{c} t+ \phi \right)$

Answer 1

Answer: (C)

In amplitude modulation, the amplitude (signal strength) of the carrier wave is varied in proportion to that of the message signal. In option "C" amplitude is varied according to message signal.
The mathematical expression for amplitude modulated wave is$A _{ c }+ k _{2} v _{ m }( t ) \sin \left[ \omega _{ c }( t )+ \phi \right]$