What is the RMS Voltage Calculation for a Controlled Switch Rectifier?

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Homework Statement



See figure attached.

Homework Equations





The Attempt at a Solution



See figure attached for attempt at the solution.

Can anyone verify whether or not my workings are correct?
 

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You get a straight A - from me anyway!

BTW a quick way to get rms is to realize the power in a half-wave is half that of a full wave. You know the rms of a full wave is Vp/√2 so for the half-wave it must be 1/√2 of that, or Vp/2.
 
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