question_answer

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

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