Average/RMS Values of a Rectangular and Ramp Function

AI Thread Summary
The discussion focuses on calculating the RMS and average values for rectangular and ramp functions. The RMS value is derived using the formula Irms = Im/√3, with an example calculation yielding 3.46 mA. The average value is estimated as 6/2, resulting in 3 mA. To compute the RMS, one must square the instantaneous values of the waveform, find the area under the squared graph over one cycle, and then take the square root of the average of this area. This process highlights the complexity of RMS calculations compared to simpler average value computations.
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Homework Statement


ip377o.png


Homework Equations


Irms = \frac{I<sub>m</sub>}{\sqrt{3}}

The Attempt at a Solution


I'm lost on how to do a completely, whereas for b. I can find the Irms:
Irms = \frac{6}{\sqrt{3}} = 3.46 mA
and the average, I'm guessing is 6/2 = 3 mA?

Thank you in advance!
 
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This is not an exercise you do in your head.

To find the RMS: you take the square root of ... the average value of ... the graph of one cycle of the waveform SQUARED.

So you draw a new graph, this time plotting instantaneous V2 vs. time
Then determine the area under that curve, and average it over the whole cycle.
Then take the square root of this average value.
 

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