In an amplitude modulated system, if the total power is 600 W and the power in the carrier is 400 W. then the modulation index is 

Concept:

The total transmitted power for an AM system is given by:

\({P_t} = {P_c}\left( {1 + \frac{{{μ^2}}}{2}} \right)\)

Pc = Carrier Power

μ = Modulation Index

Calculation:

Given P_t = 600 W, P_c = 400 W

Putting these values in the total power of AM wave expression, we get:

\(600 = 400\left( {1 + \frac{{{μ^2}}}{2}} \right)\)

\(\frac{6}{4}=\left( {1 + \frac{{{μ^2}}}{2}} \right)\)

\(\frac{6}{4}=\left( {1 + \frac{{{μ^2}}}{2}} \right)\)

\(\frac{μ^2}{2}=\frac{1}{2}\)

μ = 1.00