Question

An audio signal v_m = 20sin2π(1500t) amplitude modulates a carrier v_c = 80 sin 2π (100,000t). The value of percent modulation is ______.

Options

• 23

• 24

• 22

• 25

Answer 1

An audio signal v_m = 20sin2π(1500t) amplitude modulates a carrier v_c = 80 sin 2π (100,000t). The value of percent modulation is 25.

Explanation:

v_m = 20sin2π(1500t);

v_c = 80 sin 2π (100,000t)

percent modulation = ?

modulation index = `"A"_"m"/"A"_"c"`

= `20/80`

= `1/4`

Hence, value of percent modulation index

= `1/4xx100`

= 25%