How to calculate the .707 value used in rms voltage

[scoot15638]

I need help, and can't find anywhere how to calculate the .707 value using calculus. The value used when calculating Vrms =Vp*.707, i need to know how to calculate the .707. Any help would be great, Thanks!

Scott

 

[rcgldr]

square root of 2, divided by 2 or (1 / (square root of 2). It's the rms for a sinewave. Wiki article:

http://en.wikipedia.org/wiki/Root_mean_square

 

[cjl]

.707 is for a sine wave only, and you could determine it by taking the integral of V(t)² over a full cycle, dividing by the time of the cycle, and then taking the square root of the answer (hence the name "root mean square").