Question

An amplitude modulated wave has $800W$ of total power content$.$ For $100\%$ modulation the carrier should have power content equal to

• A. $50$ W
• B. $100$ W
• C. $2000$ W
• D. $200$ W

Answer 1

The correct option is C $2000$ W

Power of transmitted $AM$ wave $P_t=xW$

Power of carrier wave $P_c$ after modulation $=800W$

Modulation $m=100\%$

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

$x=800\left(1+\frac{1}{2}\right)$

$x=\frac{800\times 3}{2}$

$x=1200$

Total power of carrier wave $=1200+800=2000W$

Hence,

option $\left(C\right)$ is correct answer.