For the sinusoidal voltage v=100sin200t calculate:RMS voltage? how do i start?

Question

For the sinusoidal voltage v=100sin200t calculate:RMS voltage? how do i start?

Answer 1

<Alternating currents are accompanied (or caused) by alternating voltages. An AC voltage v can be described mathematically as a function of time by the following equation:

    v(t)=V{peak}*sin(omega t),

where

*V{peak} is the peak voltage (unit: volt),

*omega is the angular frequency (unit: radians per second)

The angular frequency is related to the physical frequency,  

f, which represents the number of oscillations per second

(unit = hertz), by the equation ,

omega = 2*pi*f.

*t is the time (unit: second).

<For a sinusoidal voltage:

    V{rms}={V{peak}}/{sqrt{2}}

The factor sqrt{2} is called the crest factor, which varies for different waveforms.