Concept:
The standard equation of AM is given by
y(t) = Ac(1 + μ cos ωmt) cos ωct
\(\frac{{{P_{SB}}}}{{{P_C}}} = \frac{{{\mu ^2}}}{{{\mu ^2} + 2}}\)
Calculation:
Converting the given equation into standard equation of AM.
<!--[if gte msEquation 12]>yt=Ac1+μcosωmtcosωct<![endif]--><!--[if !msEquation]--><!--[if gte vml 1]>
<![endif]--><!--[if !vml]-->\(y\left( t \right) = {A_c}\left( {1 + \mu cos{\omega _m}t} \right)\cos {\omega _c}t\)
\({A_m}\left( t \right) = 100\left( {1 + \frac{1}{2}cos{\omega _m}t} \right)\cos {\omega _c}t\)
Here μ = 0.5
μ = 0.5
\(\frac{{{P_{SB}}}}{{{P_C}}} = \frac{{{{0.5}^2}}}{{{{0.5}^2} + 2}} \times 100\;\% = 11.11\%\)
<!--[endif]--><!--[endif]-->