Question

The aerial current of an AM transmitter increases to 50 A from 45 A when modulated with a single tone message signal, then the modulating index is _____%.

• A. 68.4

Answer 1

The correct option is A 68.4
$P_i=P_c(1+\frac{{\mu }^2}{2})I_t^2=I_c^2(1+\frac{{\mu }^2}{2})1+\frac{{\mu }^2}{2}={\left(\frac{50}{45}\right)}^2\frac{{\mu }^2}{2}={\left(\frac{50}{45}\right)}^2-1\mu =0.684$
$\mu$=68.4%