Question

If $E_c$ and $E_m$ are peak values of carrier and modulating signals, respectively then for $100\%$ modulation,

• A. $E_c=\frac{E_m}{2}$
• B. $\frac{E_c^2}{2}=E_m^2$
• C. $E_c=E_m$
• D. $E_c=2E_m$

Answer 1

Answer: (C)

Modulation index of a modulated signal is
$\mu =\frac{E_m}{E_c}$
Where, $E_m$ and $E_c$ are peak values of modulating signal and carrier signal.
For $100\%$ modulation, modulation index should be unity.
Hence, $\mu =1=\frac{E_m}{E_c}$
$\Rightarrow E_m=E_c$