Calculating Vac in a Half Wave Rectifier Circuit with Capacitor

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SUMMARY

The discussion focuses on calculating the AC voltage ripple (Vac) in a half wave rectifier circuit with a capacitor. The relevant equations include Vdc = Vp - VpT/2RC and Vout = Vdc + Vac, where Vp represents the peak voltage. The user successfully deduces that Vout can be modeled as a linear function between t=0 and t=T, allowing for the calculation of Vac necessary for determining ripple factor. This approach is essential for further calculations involving Vrms and ripple factor.

PREREQUISITES
  • Understanding of half wave rectifier circuits
  • Familiarity with capacitor behavior in electrical circuits
  • Knowledge of basic AC and DC voltage concepts
  • Proficiency in using mathematical modeling for circuit analysis
NEXT STEPS
  • Study the derivation of ripple factor in capacitor-filtered rectifiers
  • Learn about the impact of resistance (R) and capacitance (C) on ripple voltage
  • Explore the calculation of Vrms in rectified circuits
  • Investigate the use of simulation tools for analyzing rectifier circuits
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in power electronics who needs to understand ripple voltage in rectifier circuits.

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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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