Conduction Angle of a Diode Circuit

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NBaumbick

Homework Statement


I am trying to prove that the diode conducts between the expressions shown here:
Left: half-wave rectifier schematic with source vS = VP sin wt, diode D1, resistor R, output vO, and current iD. Right: graph of voltage in volts against time showing input voltage sine wave and output voltage clipped to positive half-cycles, with T/2 and T marked.
Printed exercise text: Show that the diode conducts between θc = sin⁻¹(Von / Vp) and (π − θc).

Homework Equations


I know that Vo = Vpsin(wt) and the only information i know about the diode is it has a turn on voltage of Von.

The Attempt at a Solution


I have tried to plug the variables available into various formulas, I know there will only be output voltage when vs >= Von and from the looks of it Vp = 10 V and w = 1. With this I cannot find a way to determine the conduction angle though.
 
NBaumbick said:
I know there will only be output voltage when vs >= Von and
Yes.
So at what value of Vs will the diode "begin" to conduct? Put that value in the given equation of Vs.
 
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