Sinusoidal Equation Calculator4/18/2021
The positive half cycle is segregated into n equal parts which are also called middle ordinates.So, an alternating waveform is the one which is related to AC current.
This means that it is a periodic kind of waveform that switches in between negative and positive values. And the most general type of waveform used to represent this is a sinusoidal waveform. When coming to direct current waveform, the current and voltage values are basically in stable condition. It is so simplified to represent stable values and their magnitude values too. But as per the above discussion, the magnitude values of AC waveforms are not so simple as because it varies continuously corresponding to time. To know this, there are many methods and the most popular method is RMS Voltage. This article clearly explains the entire RMS voltage theory, its equations, applicable methods, and others. What is RMS Voltage Definition: Firstly, it is expanded as Root-Mean-Squared Value. The general definition given by many for this is the amount of calculated AC power which delivers the same amount of heating power corresponding to the DC power, but RMS voltage has additional functionality. The value is represented as V RMS and RMS current value is I RMS. RMS Voltage Waveform RMS values are calculated only for the time fluctuating sinusoidal voltage or current values where the magnitude of the wave alters in correspondence to time, but not employed for the calculation DC waveform values as the magnitude stays to be constant. By comparing the RMS value of the AC sine wave which delivers a similar amount of electrical power with the provided load as a similar DC circuit, then the value is known as effective value. Here, the effective current value is represented as I eff and the effective voltage value is V eff. Or else, the effective value is also stated as how many amperes or volts for a DC wave are similar to corresponding to the capability to generate a similar amount of power. Equation It is more important to know the RMS Voltage equation where it is employed to calculate many values and the basic equation is V RMS V peak-voltage (1 (2)) V peak-voltage 0.7071 The RMS voltage value is based on the AC wave magnitude value and it is not dependent on either the phase angle or frequency of the alternating current waveforms. For instance: when the peak voltage of the AC waveform was provided as 30 volts then the RMS voltage is calculated as follows: V RMS V peak-voltage (1 (2)) 30 0.7071 21.213 The resultant value is almost identical in both the graphical and analytical methods. Instead of using the peak voltage, we can calculate using voltage is exists between two peak values which is V P-P. The Sinusoidal RMS values are calculated as follows: V RMS V peak-voltage (1 (2)) V peak-voltage 0.7071 V RMS V peak-voltage (1 2(2)) V peak-peak 0.3536 V RMS V average ( (2)) V average 1.11 RMS Voltage Equivalent There exist mainly two general approaches for the calculation of the RMS voltage value of a sine wave or even another complicated waveform. The approaches are RMS Voltage Graphical Method This is used to calculate the RMS voltage of a non-sine wave that varies according to time. RMS Voltage Analytical Method This is used to calculate the voltage of the wave through mathematical calculations. Graphical Approach This approach shows the same procedure for the calculation of RMS value for the positive and negative half of the wave. The value can be calculated by considering a specific amount of accuracy for a similarly spaced instant all across the waveform.
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