If `E_(c)` and `E_(m)` are peak values of carrier and modulating signals, respectively then for 100% modulation,

Options

A. `E_(c) = (E_(m))/(2)`
B. `(E_(c) ^(2))/(2) = E_(m) ^(2)`
C. `E_(c) = E_(m)`
D. `E_(c) = 2E_(m)`

Answer

C

Explanation

Modulation index of a modulated signal is
`mu = (E_(m))/(E_(c ))`
Where, `E_(m)` and `E_(c )` are peak values of modulating signal and carrier signal.
For 100% modulation, modulation index should be unity.
Hence, `mu = 1 = (E_(m))/(E_(c ))`
`rArr E_(m) = E_(c )`
`:.` The correct option is (c ).