When a broadcast AM transmitter is 50% modulated, its antenna current is 12 A. What would be the carrier current?

Answer

11.3 A

Explanation

`I_(t) = 12 A , I_( c ) = ? ,`
` mu = ( 50)/( 100) = (1)/(2)`
As `I_( c ) = (I_(t))/(sqrt ( 1 + mu^(2) //2)) = (12)/( 3) = ( 12 xx 2 sqrt(2))/( 3)`
`:.` `I_( c ) = ( 12)/ ( sqrt(1 + 1//8)) = (( 12)/(3))/( 2 sqrt(2)) = ( 12 xx 2 sqrt(2))/(3)`
`= 11.3 A`