What is the average voltage of this signal

AC Voltage Calculator Enter any known quantity to convert between AC voltage values, the form will auto-update as you type. Peak Voltage.

Peak-to-Peak Voltage. RMS Voltage. The arithmetical average of all the instantaneous values of an alternating quantity over one cycle is known as the "Average Value of Alternating Quantity". In case of symmetrical waves like sinusoidal voltage or current, the average value over one cycle is zero. It is because the positive half cycle is exactly equal to the negative half cycle.

But the average value of positive or negative half cycle is not zero. Therefore, in case of symmetrical waves, the average value is calculated for half cycle. In case of unsymmetrical waves like half wave rectified voltage, the average is calculated over the full cycle.

Since the sinusoidal alternating voltages and currents are most wide used all over the world. In non-symmetrical voltages, we should calculate the average of the instantaneous voltages for the complete cycle of the periodic waveform, in order to find the accurate value. In order to find the average value, we need to calculate the approximate area of the waveform or curve at several intervals. In order to find the area of the curve, it is divided into many small rectangles or triangles. By approximating the areas of these individual rectangles, and adding all these areas, the average value can be calculated.

The accuracy of the average value can be increased by considering an infinite very large number of small rectangles. The following graph represents the average of the area covered under the curve with small rectangles at equal intervals of the waveform. By calculating the average of the area under the curve, we can find the exact value of the average voltage value. There are many methods to approximate the value of the area under the curve.

The area under the curve at every instance is mathematically given as. Now, we know the area under the positive half cycle or negative half cycle , we can easily calculate the average value voltage or current of the periodic alternating sinusoidal wave by integrating the sine quantity over positive or negative cycle and dividing it with the period.

So the average value of the AC sinusoidal wave is equal to the multiplication of peak voltage value with 0. As the above discussed example, if we have a sine wave with Volts maximum peak voltage, then the average voltage value can be found in analytical method is given below. Comparison of average and RMS voltage is shown below. NOTE: Multiplying the peak value with 0. More tutorials in AC Circuits.

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