anonymous
  • anonymous
Write down the nodal equation in a matrix form and determine the current flowing through branch AC.
Physics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Here is the circuit.
1 Attachment
anonymous
  • anonymous
The answer is 2.6A. I've worked it out first by using KCL and Ohm's law at the Nodes. At that point I've considered current direction. Then, using Cramer's rule I got 12A. If we don't take into consideration current direction, i.e take it all to be positive, you obtain the answer 2.61A.
anonymous
  • anonymous
However, i don't understand why we don't take the current directions in this case while using KCL. Can anyone explain me the reason why.

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anonymous
  • anonymous
KCL - Kirchoff's current law
anonymous
  • anonymous
you dont take signal if current is entering in node or leaving it?
anonymous
  • anonymous
Yes. We don't consider whether it is leaving or entering the node, then we get the answer.
anonymous
  • anonymous
if you dont using the signal then you will find in your ans a negative current
anonymous
  • anonymous
|dw:1348233456678:dw|
anonymous
  • anonymous
if you do all you currents like this all will be positive,but when you do the equations some value will be negative get it?
anonymous
  • anonymous
So that's why we take it that all the current is moving away from the node..??
anonymous
  • anonymous
yes, you dont have to know first, the direction of current ,if you find a negative value the current is entering in node instead leaving
anonymous
  • anonymous
Okay..!! Thanks for your help..!! Fan + medal..!! :)
anonymous
  • anonymous
you are welcome

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