A sinusoidal carrier voltage is amplitude modulated. The resultant...

Given here,

${A}_{c} + {A}_{m} = 120 . . . \left(1\right)</p><p>${A}_{c} - {A}_{m} = 80 . . . \left(2\right)$</p><p>From equation \left(1\right) and \left(2\right)$, we have

$2{A}_{c} = 200 ⇒ {A}_{c} = 100V and {A}_{m} = 20V$

Modulation index $\mu = \dfrac{20}{100} = \dfrac{1}{5}$

Amplitude of each side band

$= {A}_{c}\dfrac{\mu}{2}$

$= 100 \times \dfrac{1}{10} = 10volt$