1.

The antenna current of an AM transmitter is 8A when only the carrier is sent but it increases to 8.93 A when the carrier is modulated .Find percentage modulatio .

Answer»

Solution :The modulated or total CARRIED by AM wave
`P_(T)=P_(C)(2+(m^(3))/(2))`
It R is load resistance, `I_(m)` is the current when carrier is modulated and `I_(C)` the current when unmodulated,then `(P_(T))/(P_(C))=(I_(m)^(2)R)/(I_(C)^(2)R)""therefore l+(m^(2))/(2)=(I_(m)^(2)R)/(I_(C)^(2)R)`
Given `I_(m)`=8.93 A, `I_(C)`=8A
`therefore m^(2)=2[((8.93)/(8.0))^(2)-1] therefore m=0.7`
Therefore ,MODULATION index=70%


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