Q. A carrier wave is modulated by a number of sine waves with modulation indices $m_{1},m_{2},m_{3},\ldots,$ The total modulation index $(m)$ of the wave is
A) $m_{1} + m_{2} + m_{3} + .\ldots.$
B) $m_{1} - m_{2} + m_{3} + .\ldots.$
C) $\sqrt{m_{1}^{2} + m_{2}^{2} + m_{3}^{2} + ...}$
D) $\sqrt{\frac{m_{1}^{2} + m_{2}^{2} + m_{3}^{2} + ...}{n}}$
Explanation
(c) Total modulation index of the wave
$m = \sqrt{m_{1}^{2} + m_{2}^{2} + m_{3}^{2} + ...}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.