Question #87594
Calculate the voltage value of a sine wave at 135° whose VRMS= 1000 VAC. Show all work.
1
Expert's answer
2019-04-11T14:19:33-0400

Usually a common sine wave is written as


V(t)=VRMS2sin(ωt+ϕ),V(t)=V_{RMS}\sqrt{2}\text{sin}(\omega t+\phi),

where ω=2πf\omega=2\pi f - angular frequency,

VRMS2=VampV_{RMS}\sqrt{2}=V_{amp} - amplitude (pike or maximum) value of the voltage,

ϕ\phi - phase angle.


So in our problem the maximum amplitude voltage value is 10002=1414.2 V1000\sqrt{2}=1414.2\text{ V}.


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