A sinusoidal carrier voltage is amplitude modulated. The resultant amplitude modulated wave has maximum and minimum amplitude of $$120$$ V and $$80$$ V respectively. The amplitude of each side band is:

We need to find the amplitude of each sideband in an amplitude modulated wave.

Maximum amplitude: $$A_{\max} = 120$$ V

Minimum amplitude: $$A_{\min} = 80$$ V

First, we find carrier and modulating signal amplitudes.

$$A_c = \frac{A_{\max} + A_{\min}}{2} = \frac{120 + 80}{2} = 100$$ V

$$A_m = \frac{A_{\max} - A_{\min}}{2} = \frac{120 - 80}{2} = 20$$ V

Next, we find sideband amplitude.

In amplitude modulation, each sideband has an amplitude of $$\frac{A_m}{2}$$:

$$A_{\text{sideband}} = \frac{A_m}{2} = \frac{20}{2} = 10$$ V

The amplitude of each sideband is $$10$$ V.

The correct answer is Option 2: $$10$$ V.