In a certain amplitude modulate wave, maximum amplitude is 8V. If modu...
Explanation:
Given data:
Maximum amplitude of the wave = 8 V
Modulation factor = 60%
Understanding Modulation Factor:
The modulation factor, also known as the modulation index, is a parameter that determines the extent of modulation in an amplitude modulated (AM) wave. It is defined as the ratio of the peak amplitude of the modulating signal to the peak amplitude of the carrier signal.
Calculating Modulating Signal Amplitude:
The modulating signal amplitude can be calculated using the modulation factor and the carrier signal amplitude.
Modulating signal amplitude = Modulation factor * Carrier signal amplitude
In this case, the carrier signal amplitude can be determined by subtracting the modulation signal amplitude from the maximum amplitude of the wave.
Carrier signal amplitude = Maximum amplitude of the wave - Modulating signal amplitude
Calculating Minimum Amplitude:
The minimum amplitude of the wave occurs when the modulating signal is at its maximum negative peak. In this case, the minimum amplitude can be calculated by subtracting the modulating signal amplitude from the carrier signal amplitude.
Minimum amplitude = Carrier signal amplitude - Modulating signal amplitude
Substituting Values:
Maximum amplitude of the wave = 8 V
Modulation factor = 60%
First, we need to calculate the modulating signal amplitude:
Modulating signal amplitude = 0.6 * 8 V = 4.8 V
Next, we can calculate the carrier signal amplitude:
Carrier signal amplitude = 8 V - 4.8 V = 3.2 V
Finally, we can calculate the minimum amplitude of the wave:
Minimum amplitude = 3.2 V - 4.8 V = -1.6 V
However, amplitudes cannot be negative in physical terms. Therefore, the minimum amplitude is considered to be the absolute value of the negative amplitude, which is 1.6 V.
Hence, the correct answer is 2 V.