**Concept:**

The standard equation of AM is given by

y(t) = A_{c}(1 + μ cos ω_{m}t) cos ω_{c}t

\(\frac{{{P_{SB}}}}{{{P_C}}} = \frac{{{\mu ^2}}}{{{\mu ^2} + 2}}\)

**Calculation:**

Converting the given equation into standard equation of AM.

<!--[if gte msEquation 12]>*y**t**=**A**c**1+μcos**ω**m**t*cos*ω**c**t*<![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]-->