Numerical - Depth of Modulation/ Modulation Index

Q.  Calculate the depth of modulation when a transmitter radiates a signal of 9.8KW after modulation and 8KW without modulation of the signal.
- Published on 12 Oct 15

a. 80%
b. 67%
c. 50%
d. 100%

ANSWER: 67%
 
Ptotal = 9.8KW

Pc = 8KW

Power of the signal (Ptotal) transmitted by a transmitter after modulation is given by

Ptotal = Pc (1+ m2/2)

Where Pc is the power of carrier i.e., without modulation

M is the modulation index

Therefore,
9.8= 8 (1+ m2/2)
9.8/8=1+ m2/2
m=0.67 = 67%

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