RMS math

Discussion in 'General Electronics Chat' started by richbrune, Nov 19, 2005.

  1. richbrune

    Thread Starter Senior Member

    Oct 28, 2005
    106
    0
    I'd like to know if someone would send me the formulas for RMS voltages of various wave forms. One is a 5% duty cycle, zero to 10V positive rectangular pulse. The other is a diode "clipped" sine wave (positive portion of the sine wave only) that is 20V base to peak. I remember that I've seen a table of these formulas in years gone by, but I can't seem to find them.

    Thanks in advance,

    Rich
     
  2. n9352527

    AAC Fanatic!

    Oct 14, 2005
    1,198
    4
    Sinusoidal Vrms=Vp/√2
    Square wave (symmetrical) Vrms=Vp
    Square wave (positive only, duty cycle D) Vrms=Vp*√D
    Sawtooth (symmetrical) Vrms=Vp/√3
    Full wave rectified sinusoidal Vrms=Vp/√2
    Halfwave rectified sinusoidal Vrms=Vp/2
     
  3. richbrune

    Thread Starter Senior Member

    Oct 28, 2005
    106
    0
    So in the 10 Volt Peak, 5% duty cycle positive only pulse it would be as follows?
    Vp=10
    D=.05 (for 5% duty cycle)
    Vrms=10*(√.05)
    Vrms=10*0.22361
    Vrms=2.2361
     
  4. Firestorm

    Senior Member

    Jan 24, 2005
    353
    0
    Yup! :)
     
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