Laplace transforms: R series with RC parallel circuit: Difference between revisions
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Laplace Transform S-domain |
Laplace Transform S-domain |
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<math>\mathcal{L}\left\{\int_{0-}^\infty{(i_2) dt}\right\}=I_2/s</math> |
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<math>\mathcal{L}\left\{(1)\right\}=1/s</math> |
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<math>\int_{0-}^\infty</math> |
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Inverse Laplace transform T-domain |
Inverse Laplace transform T-domain |
Revision as of 00:14, 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)
Solving equations (1) and (2) simultaneously
- Substituting equation (1) into equation (2) gives...
- simplifies to...
Laplace Transform S-domain
Inverse Laplace transform T-domain
Voltage on Capacitor