How to calculate average voltage of a sine wave with question and answer | AC circuit analysis скачать в хорошем качестве

How to calculate average voltage of a sine wave with question and answer | AC circuit analysis

The process used to find the Average Voltage of an alternating waveform is very similar to that for finding its RMS value, the difference this time is that the instantaneous values are not squared and we do not find the square root of the summed mean. The average voltage (or current) of a periodic waveform whether it is a sine wave, square wave or triangular waveform is defined as: “the quotient of the area under the waveform with respect to time”. In other words, the averaging of all the instantaneous values along time axis with time being one full period, (T). For a periodic waveform, the area above the horizontal axis is positive while the area below the horizontal axis is negative. The result is that the average or mean value of a symmetrical alternating quantity is therefore zero, (0) because the area above the horizontal axis (the positive half cycle) is the same as the area below the axis (the negative half cycle) and thus cancel each other out. This is because when we do the maths of the two areas, the negative area cancels out the positive area producing zero average voltage. Then the average or mean value of a symmetrical alternating quantity, such as a sine wave, is the average value measured over only one half of a cycle, since as we have just stated, the average value over one complete cycle is zero regardless of the peak amplitude. The electrical terms Average Voltage and Mean Voltage or even average current, can be used for both AC waveforms or for DC rectification calculations. The symbols used for representing an average value are defined as: VAV or IAV. There are two ways to find an average voltage for any pure sinusoidal wave form. 1. Graphical method 2. Analytical method