Engineering Solving RC Circuits with Switch: Finding Vs(t) and Vc(t)

AI Thread Summary
To find Vs(t) and Vc(t) in the RC circuit, the approach involves analyzing two scenarios: when the switch is on and when it is off. The discussion emphasizes applying Kirchhoff's Current Law (KCL) at the node above the capacitor, treating the bottom of the capacitor as the ground reference. A differential equation should be formulated from this KCL analysis, incorporating initial conditions from the switch being open before it closes at t=0. Participants are encouraged to share their calculations for further assistance. The focus is on solving the circuit dynamics accurately.
frutti
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Homework Statement


i need to find the Vs(t) and Vc(t)

http://img32.imageshack.us/img32/9071/circuiten.jpg

The Attempt at a Solution


since there is a switch i used two cases to find the Vc
one with switch on and switch off
switch on
http://img704.imageshack.us/img704/6180/switchon.jpg
and switch off
http://img265.imageshack.us/img265/3259/switchoff.jpg

but I am lost after this...
help me!
 
Last edited by a moderator:
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frutti said:

Homework Statement


i need to find the Vs(t) and Vc(t)

http://img32.imageshack.us/img32/9071/circuiten.jpg

The Attempt at a Solution


since there is a switch i used two cases to find the Vc
one with switch on and switch off
switch on
http://img704.imageshack.us/img704/6180/switchon.jpg
and switch off
http://img265.imageshack.us/img265/3259/switchoff.jpg

but I am lost after this...
help me!

The cap still needs to be there with the switch ON.

Write the KCL equation for the node at the top of capacitor (with the bottom of the cap being the common "ground" node), and solve the resulting differential equation, using the initial conditions from when the switch was open (assume the switch is closed at t=0). Show us your work, so we can help you more if you need it.
 
Last edited by a moderator:

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