MCQ
For an amplitude modulated wave the minimum amplitude is $3\,V$, while the modulation index is $60 \%$. The maximum amplitude of the modulated wave is $......\,V$
  • A
    $15$ $V$
  • $12$ $V$
  • C
    $10$ $V$
  • D
    $5$ $V$

Answer

Correct option: B.
$12$ $V$
b
Modulation index $=\frac{A_w}{A_c}=0.6$

Minimum amplitude of modulated wav $=A_c-A_w=3$

$\therefore A_c-0.6 A_c=3 \Rightarrow 0.4 A_c=3$

$A_c=\frac{3}{0.4}=\frac{15}{2}=7.5\,V$

$A_w=0.6 A_c=4.5\,V$

$\therefore$ Maximum amplitude $= A _{ c }+ A _{ m }$

$=7.5+4.5=12\,V$

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