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For an amplitude modulated wave, the maximum amplitude is found to be \(10V\) while the minimum amplitude is found to be \(2V\) . Determine the modulation index, \(\mu \) .
What would be the value of \(\mu \)  if the minimum amplitude is zero volt?

Answer

\(\rightarrow \) For the first case,
\(A_{\mathit{Max}}=A_M+A_C=10V\quad \dots(i)\)
\(A_{\mathit{Min}}=A_C-A_M=2V\quad \dots(ii)\)
From \(\left(i\right)+\left(\mathit{ii}\right)\)
\(\Rightarrow 2A_C=12\)  
\(\Rightarrow A_C=6V\)  
From \(\left(i\right)\)
\(\Rightarrow A_M+6=10\Rightarrow A_M=4V\)  
Modulation index, \(\mu =\frac{A_M}{A_C}=\frac 4 6=\frac 2 3=0.67\)
\(\rightarrow \)  for the second case we use, \(A_{\mathit{min}}=0\)
\(\Rightarrow A_{\mathit{max}}=A_C+A_M\)  
  \(\Rightarrow A_C=A_M=5\)
\(\Rightarrow \mu =\frac 5 5=1=100\)  
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