If a carrier wave `c(t)=A sin omega_(c)t` is amplitude modulated by a modulator signal `m(t)=A sin omega_(m)t` then the equation of modulated signal `[C_(m)(t)]` and its modulation index are respectively

Options

A. `C_(m) (t) = A (1 + sin omega_m t) sin omega_c t and 2 `
B. `C_m ( t) = A (1 + sin omega_m t) sin omega m t and 1`
C. `C_m ( t) = A (1+ sin omega_m t) sin omega_c t and 1 `
D. `C_m (t) = A (1+ sin omega_c t) sin omega_m t and 2 `

Answer

C

Explanation

Modulation index `m_a = (E_m)/(E_c)=(A)/(A)=1`
Equation of modulated signal `[C_m (t)]`
`implies E_((C)) + m_a E_((C)) sin omega_m t `
`=A ( 1+ sin omega_m t ) sin omega_c t `
(As `E_((C)) = A sin omega_(C) t)`