RMS Value of a full wave rectified sine wave?

Thread Starter

Gillian Spiessens

Joined Feb 24, 2018
3
Hey,

For school we have to find the RMS Value of the wave form on this photo. This is the only information that we got.
There is probably a simple solution, but I have no idea how to get started.:(

thank you in advance
gillian

Bestand 24-02-18 11 09 36.jpeg
 

OBW0549

Joined Mar 2, 2015
3,566
There is probably a simple solution, but I have no idea how to get started.:(
There is indeed a simple solution-- a VERY simple solution. All it takes is a bit of logical thinking. You can start by considering what RMS stand for: the square ROOT of the MEAN of the input signal SQUARED.

Suppose the input signal is a sine wave. What happens during the squaring operation during the period of time when the input signal is negative? When the negative parts of the input signal are squared, does the result look any different from when the positive parts of the input signal are squared? Does the squaring operation care whether the instantaneous value of the input signal is negative or positive? What would happen to the squared signal if you took the negative parts of the input signal and flipped them up over the horizontal axis (i.e., the 0 volt line)? What would a sine wave look like if it's negative parts were flipped thusly?

The above hints should get you moving.
 
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