Question

A radio transmittdiating a total power of 100kW. When the modulation index is 0.8, what is the carrier power being radiated by the transmitter? What is the sideband power?​

Answer 1

Answer:

Power of carrier power

$pc \: = \frac{pt}{1 + \frac{ {m}^{2} }{2} }$

$pc = \frac{100}{1 + \frac{ {0.8}^{2} }{2} }$

$pc = \frac{100}{1 + \frac{0.64}{2} }$

$pc = \frac{100}{1.32}$

Pc = 83.33 kW

Power in sidebands may be calculated as

$= {m}^{2} \frac{pc}{4}$

$= {0.8}^{2} \times \frac{83.33}{4}$

= 13.33 kW