Finding Vc(t) and ic(t) of rc circuit for t>=0
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Finding Vc(t) and ic(t) of rc circuit for t>=0

[From: ] [author: ] [Date: 13-09-28] [Hit: ]
generating an expression for Vc(t) and then ic(t) for current through R3 using R1,2,3 Vg, and C.to find the V across the capacitor we know that R2 is parallel to R3 (to find Req). then is the RC value simply C*(R2*R3/(R2+R3))?......
http://www.flickr.com/photos/84781786@N0… (when the switch is flipped the other way to get this):
http://i43.tinypic.com/iw56bk.jpg

generating an expression for Vc(t) and then ic(t) for current through R3 using R1,2,3 Vg, and C.

I get that the
is Vc(t) = Vg(e)^(-t/(RC))
and
ic(t)=-Vg/(R)e^(-t/(RC))


to find the V across the capacitor we know that R2 is parallel to R3 (to find Req). then is the RC value simply C*(R2*R3/(R2+R3))? where does R1 even come into the equation?


i'm not sure what i'm doing wrong

-
R1 comes into it because before the switch moves to the right the voltage on C is

Vinitial = Vg*R2/(R1 + R2)

...*not* just Vg.

After the switch moves to the right, C discharges through the parallel combination of R2 and R3 (as you said). Call that parallel combination Rp.

Vc = Vinitial*e^(-t/C*Rp)

Current in R3 = Vc/R3
1
keywords: and,of,Vc,rc,gt,Finding,ic,circuit,for,Finding Vc(t) and ic(t) of rc circuit for t>=0
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