# Is this the RMS value?

#### Dritech

Joined Sep 21, 2011
876
Hi all,

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

#### Papabravo

Joined Feb 24, 2006
17,262
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. #### thumb2

Joined Oct 4, 2015
122
The RMS value is

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

Where $$A$$ is the peak value.

#### MrChips

Joined Oct 2, 2009
24,618

#### WBahn

Joined Mar 31, 2012
26,398
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.

• thumb2