When it comes to understanding RMS, or root mean square, it's important to know that this is a unit of measurement that applies specifically to AC, or alternating current. In simple terms, RMS is a way of representing the effective value of a sinusoidal waveform. When it comes to calculating the RMS value of a given waveform, there are actually a few different methods that can be used. However, for the purposes of this blog post we'll focus on just one - the method of averaging squares.
Now that we've got a basic understanding of what RMS is and how it's calculated, let's take a look at how many RMS is in 1000 watts. To do this calculation, we need to first determine the peak value of the waveform. For a sine wave ( which is what we're dealing with in this instance), the peak value can be found by multiplying the amplitude by 1.414. In this case, our amplitude is 10 volts ( remember, RMS only applies to AC so we're not working with DC values), so our peak value would be 14.14 volts .
Now that we have our peak voltage value , we can plug it into the following equation to calculate RMS:
RMS = √(peak voltage2 / 2)
So in our example , that would give us an RMS value of:
√((14.142)/2) ≈ 9.961 volts
And since 1 watt = 1 volt x 1 ampere , 1000 watts would correspond to 1000 amperes .