Numerical - Modulation index when the carrier undergoes multiple modulation

Calculate the total modulation Index when a carrier wave is being modulated by two modulating signals with modulation indices 0.8 and 0.3.

a.) 0.8544
b.) 0.6788
c.) 0.9999
d.) 0.5545

Correct Answer: a) 0.8544

Explanation:

Here, m₁ = 0.8
m₂ = 0.3

total modulation index m_t = √( m₁² + m₂² )
= √( 0.8² + 0.3² )
= √ 0.73
= 0.8544 = 85.44%