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 [​IMG] , is 24sqrt(2) the RMS value of the sine wave?
     
  2. Papabravo

    Expert

    Feb 24, 2006
    10,138
    1,789
    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.:D
     
  3. thumb2

    Member

    Oct 4, 2015
    66
    4
    The RMS value is

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

    Where A is the peak value.
     
  4. MrChips

    Moderator

    Oct 2, 2009
    12,437
    3,360
    The RMS value is 24.
     
  5. WBahn

    Moderator

    Mar 31, 2012
    17,736
    4,789
    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 likes this.
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