# Answer to Question #87594 in Electrical Engineering for Jay H

Question #87594

Calculate the voltage value of a sine wave at 135° whose VRMS= 1000 VAC. Show all work.

Expert's answer

Usually a common sine wave is written as

@$V(t)=V_{RMS}\sqrt{2}\text{sin}(\omega t+\phi),@$where @$\omega=2\pi f@$ - angular frequency,

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

@$\phi@$ - phase angle.

So in our problem the maximum amplitude voltage value is @$1000\sqrt{2}=1414.2\text{ V}@$.

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