Laplace transforms: R series with RC parallel circuit: Difference between revisions
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:Voltage across capacitor at t({0-})=0 |
:Voltage across capacitor at t({0-})=0 |
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[[Image:lna_hw_5.jpg|400px|thumb|left|Fig (1)]] |
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Revision as of 09:28, 22 October 2009
Problem Statement
- Find the Voltage across the capacitor for t>=0:
- Voltage across capacitor at t({0-})=0
Use Loop Equations to solve for the currents in and
- Loop 1
- _______________________________________equation (1)
- Loop 2
- _______________________equation (2)
Solve equations (1) and (2) simultaneously
- Substituting equation (1) into equation (2) gives...
- simplifies to...
Take the Laplace Transform to move to the S-domain
Take the inverse Laplace transform to move back into the t-domain
- substitute this equation back into equation (1)
Voltage on Capacitor
Answer:
- Volts
Written by: Andrew Hellie
Checked by: