Question

If modulation index is 1/2 and power of carrier wave is 2w. then what will be the total power in modulated wave

Answer 1

As we know, the equation of the power of carrier wave is

$P_{c} = \frac{E_{c}^{2}}{2R}$

And the total power P is

$P = \frac{E_{c}^{2}}{2R} ( 1 + \frac{ m_{a}^{2} }{2} )$

$P = P_{c} ( 1 + \frac{ m_{a}^{2} }{2} )$

$P = 2 ( 1 + \frac{ (\frac{1}{2})^{2}}{2} )$

$P = 2 ( 1 + \frac{1}{8} )$

P = 9/4 = 2.25 W