Finding I(0)- and I(0)+ in First Order Circuit

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Homework Help Overview

The discussion revolves around finding the currents I(0)- and I(0)+ in a first-order circuit involving a capacitor. The original poster attempts to analyze the circuit by calculating the equivalent resistance and voltage across the capacitor at time t=0.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the definitions of I(0)+ and I(0)-, with some clarifying that these represent the current just before and just after time t=0. The original poster shares their calculations for I(0)- but expresses uncertainty about finding I(0)+.

Discussion Status

Participants are actively engaging with the problem, providing clarifications and discussing the assumptions regarding the circuit's behavior before and after t=0. Some guidance has been offered regarding the expected forms of the current based on the circuit's state.

Contextual Notes

There is an assumption that the circuit is in steady state before t=0, and that an exponential form will emerge after t=0 due to the capacitor discharging. The original poster has also referenced previous assignments that may influence their understanding of the problem.

darwinharianto
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the question is to find I(0)- and I(0)+
the I is at the

what I have attempted
finding Req on the right side
I eliminate the capacitor and Req = 12*6/(12+6) = 4
so Vc (0)- = Req/(Req+12) *18 = 9/2

T = Req*c= 4*1/12 = 1/3
so V(t) = 18/4 e^(-3T)

so I (0)- = V(t)/12 = 3/8 e^(-3t)

but I don't know how to find the I(0)+


sorry for bad English and bad picture
thx for replying in advance
 

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Be a bit more specific: What are I(0)+ and I(0)-?

ehild
 
ehild said:
Be a bit more specific: What are I(0)+ and I(0)-?

ehild

its the current that before and after time = 0
a moment right after for +
a moment right before for -
 
Hello darwinharianto
See the attachment.
 

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baby_1 said:
Hello darwinharianto
See the attachment.

oic
thanks a lot

so no need for me to the e^x
because the assignment before got e^x for the V
 
Hello darwinharianto
as you know before t(-) we assume that our circuit is in steady state so we don't have exponential form.however after t(0) capacitor tries to be discharge with RC period time so exponential form will appear.
if you want exponential form of i after t(0) follow the attachment.
 

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baby_1 said:
Hello darwinharianto
as you know before t(-) we assume that our circuit is in steady state so we don't have exponential form.however after t(0) capacitor tries to be discharge with RC period time so exponential form will appear.
if you want exponential form of i after t(0) follow the attachment.

thanks a lot :D
now I do understand it
 

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