Simple RC Circuit Voltage Division Solution

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SUMMARY

The discussion focuses on solving a voltage division problem in an RC circuit using the s-domain. The user correctly derives the transfer function H(s) as 1/(s+1) but mistakenly interprets the output voltage Vout. The correct relationship is Vout = Vin(1 - e^(-t)), which accounts for the voltage across the capacitor rather than the resistor. The importance of properly applying the Laplace transform to the input signal is emphasized as a critical step in the solution.

PREREQUISITES
  • Understanding of RC circuit theory
  • Familiarity with Laplace transforms
  • Knowledge of transfer functions in control systems
  • Basic concepts of voltage division
NEXT STEPS
  • Study the application of Laplace transforms in circuit analysis
  • Learn about the behavior of RC circuits in the time domain
  • Explore the concept of transfer functions in more complex circuits
  • Investigate the effects of different input signals on RC circuit responses
USEFUL FOR

Electrical engineering students, circuit designers, and anyone studying control systems who seeks to understand voltage division in RC circuits.

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Homework Statement



I think I am turning retarded. For some reason I can't get the right values for a simple voltage division in the s-domain. Find Vout in terms of Vin
http://img11.imageshack.us/img11/6325/tardf.jpg

Homework Equations


The Attempt at a Solution



So I do H(s) = (1/s) / ((1/s) + 1 ) = 1/(s+1)
Then Inverse Laplace transform it and get Vin*e^(-t). But shouldn't Vout=Vin(1-e^(-t)) ?

So I think I am ending up with the voltage drop across the resistor instead of the capacitor like it should be...
 
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Can you post the whole problem? I'm quite sure you have left something important out. One error I can see right now is, you haven't laplace transformed the pulse signal.
 
Thanks so much! That's what I was forgetting.
 

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