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JadeEyes

  • 3 years ago

Write down the nodal equation in a matrix form and determine the current flowing through branch AC.

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  1. JadeEyes
    • 3 years ago
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    Here is the circuit.

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  2. JadeEyes
    • 3 years ago
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    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.

  3. JadeEyes
    • 3 years ago
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    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.

  4. JadeEyes
    • 3 years ago
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    KCL - Kirchoff's current law

  5. RaphaelFilgueiras
    • 3 years ago
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    you dont take signal if current is entering in node or leaving it?

  6. JadeEyes
    • 3 years ago
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    Yes. We don't consider whether it is leaving or entering the node, then we get the answer.

  7. RaphaelFilgueiras
    • 3 years ago
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    if you dont using the signal then you will find in your ans a negative current

  8. RaphaelFilgueiras
    • 3 years ago
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    |dw:1348233456678:dw|

  9. RaphaelFilgueiras
    • 3 years ago
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    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?

  10. JadeEyes
    • 3 years ago
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    So that's why we take it that all the current is moving away from the node..??

  11. RaphaelFilgueiras
    • 3 years ago
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    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

  12. JadeEyes
    • 3 years ago
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    Okay..!! Thanks for your help..!! Fan + medal..!! :)

  13. RaphaelFilgueiras
    • 3 years ago
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    you are welcome

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