Laplace transforms: R series with RC parallel circuit
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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
- substitute this equation back into equation (1)
Voltage on Capacitor
- Volts