# Is this the RMS value?

Discussion in 'Math' started by Dritech, Jan 30, 2016.

1. ### Dritech Thread Starter Well-Known Member

Sep 21, 2011
756
5
Hi all,

With reference to , is 24sqrt(2) the RMS value of the sine wave?

2. ### Papabravo Expert

Feb 24, 2006
10,340
1,850
No, it is the peak value, which occurs when the value inside the parentheses is equal to 90 or pi/2 radians. This makes the value of the sin function equal to 1.
If I didn't know better I'd almost suspect you of trolling.

3. ### thumb2 Member

Oct 4, 2015
92
6
The RMS value is

$A_{\mathrm{rms}} = \frac{A}{\sqrt{2}}$

Where $A$ is the peak value.

4. ### MrChips Moderator

Oct 2, 2009
12,633
3,453
The RMS value is 24.

5. ### WBahn Moderator

Mar 31, 2012
18,087
4,917
I would recommend that you go back to the definition of what rms voltage is (not some formula for it, but what it means, namely that the rms value of a waveform is equal to the voltage that a DC source would have that dissipated the same amount of average power in a purely resistive load). From that, you should be able to come up with the formula that thumb2 gives and, in the process, cement in your knowledge what rms voltage is and why rms stands for what it does.

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