Chapter 28, Problem 1FTD

Two AC signals have the same amplitude but different frequencies. Are their rms amplitudes the same?

To determine

Whether the rms amplitudes of the AC signals of same amplitude but different frequency are same or not.

Answer to Problem 1FTD

The rms amplitudes of the two AC signals are same.

Explanation of Solution

AC signals are ones which changes the direction periodically. Generally, AC signals are sinusoidal in nature. The rms amplitude of an AC signal depends only on the peak amplitude of the wave.

Moreover, the rms amplitude has no dependence on the frequency of the wave. Therefore, for two AC signals having same amplitude but different frequency will have the same rms amplitude.

Conclusion:

Therefore, the rms amplitudes of the two AC signals are same.