Current Division Rule: Solving for Currents

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The discussion revolves around solving for currents in a circuit using both the traditional V=IR method and the current division rule. The user initially found discrepancies between the two methods, leading to confusion about the conditions for applying the current division rule. They realized that additional components like capacitors and inductors require calculating impedance, which was a factor in their calculations. After some troubleshooting, the user identified a mistake in their value substitutions. The thread concludes with an acknowledgment of the importance of sharing work for clarity in problem-solving.
jra12222
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Hi all,

I was working the following example:
upload_2018-12-2_5-57-40.png

where I need to find the currents. I tried solving using the traditional V=IR => I=V/R,
and then I tried with the current division rule. However with the current division rule the answers don't match.
Also according to the answers on the book the correct answer is the first one.
Are there some conditions when using the current division rule?
 

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I don't know what the first one is since you didn't tell us. However, you have more than resistance in this circuit. Do you know how to get the impedance for a capacitor and an inductor?
 
Oh no the first is the traditional one, I basically found voltage drop across the the parallel branches and then found the current using V=I/Z.
Yes inductive and capacitive resistances are correct
 
OH never mind I just noticed I was making a mistake in the substitution of the values! I've been trying to figure it out for the past hour :(
Sorry for this!
Consider this thread closed
Thanks :)
 
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Likes berkeman and Tom.G
That's why we like people to post their working.
 
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Likes jim hardy
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