Calculating Vac in a Half Wave Rectifier Circuit with Capacitor

AI Thread Summary
To calculate Vac in a half wave rectifier circuit with a capacitor, the expression Vout=Vdc + Vac is used, where Vdc is derived from the peak voltage (Vp) and circuit parameters (R, C, T). The user initially struggled to determine the appropriate Vout, eventually realizing that it should be modeled as a linear function between t=0 and t=T. The input voltage is given as Vin=Vocosωt, which informs the calculation of Vout. The goal is to find Vac to subsequently calculate Vrms and the ripple factor, defined as ripple = Vac rms / Vdc. Understanding the relationship between these variables is crucial for accurate ripple factor computation.
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Homework Statement



Using the approximate triangular output shown and Vdc previously calculated, use the expression Vout=Vdc + Vac to solve for Vac. Find an expression for Vac that is valid from t=0 to t=T. Your expression should be in terms of Vp,R,C,T and t.

The circuit is a half wave rectifier with a capacitor.

Eventually I am trying to calculate ripple factor but I need the Vac to calculate Vrms and then onto calculating ripple = Vac rms / Vdc

Homework Equations



Vdc= Vp - VpT/2RC where Vp= voltage at peak

Vout=Vdc + Vac


The Attempt at a Solution



I am not sure what I am supposed to be using for V out. I was given Vin=Vocosωt where T=2∏/ω is the period of the input signal.

Am I supposed to use Vpcosωt for my Vout?
 
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I figured it out, I had to assume that I was looking at a straight line between t=0 and t=T. Then formulate a y=mx+b for the line. That was my Vout I was looking for.
 

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