(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find ##i(0^+) ## and ##i(t), t≥0^+##

2. Relevant equations

3. The attempt at a solution

I'm having trouble finding the current through this capacitor. I tried using a KVL loop for ##t=0^+##, but I'm doing it incorrectly or something.

Earlier in the problem I found: ##v_c(0^+) = -120 V##

Sign convention for resistors: Positive on the top for the 150k resistor, positive on the right side for the other 2.

KVL1: Starting at node ##b## and moving clockwise with current ##i_1## :

##-2.5ki_1+150k(i_1-i_2)-v_c=0##

##-2.5ki_1+150ki_1-150ki_2-(-120)=0##

##147.5ki_1-150ki_2=-120##

KVL2: Starting just to the left of the 50k resistor and moving clockwise:

##-50ki_2+200-150k(i_2-i_1)=0##

##-50ki_2-150ki_2+150ki_1=-200##

##150ki_1-200ki_2=-200##

Solving, I get:

##i_1=0.85 mA##

##i_2=1.6mA##

##i=-i_1=-0.85 mA##

However, this is appears to be incorrect.

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# Homework Help: Current Through a Capacitor in a RC Circuit

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