The maximum amplitude of an amplitude modulated wave is $16 \mathrm{~V}$, while the minimum amplitude is $4…

The maximum amplitude of an amplitude modulated wave is $16 \mathrm{~V}$, while the minimum amplitude is $4 \mathrm{~V}$. The modulation index is
  1. $0.4$
  2. $0.5$
  3. $0.6$
  4. $4$

Solution

We have, $m=\frac{A_m}{A_c}=\frac{E_{\max }-E_{\min }}{E_{\max }+E_{\min }}$ Here, $E_{\max }=16 \mathrm{~V}$ and $E_{\min }=4 \mathrm{~V}$ $\begin{aligned} & \Rightarrow \quad m=\frac{16-4}{16+4} \\ & =\frac{12}{20}=\frac{3}{5}=0.6 \end{aligned}$

Asked in: AP EAMCET 2015

Practice more Communication System questions on Aicharya