Kirchhoff's Current Law problem

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SUMMARY

The discussion centers on a problem related to Kirchhoff's Current Law (KCL) involving a circuit with multiple resistances. The user attempted to solve for the voltage (V) and calculated a value of -2.48, leading to a current (I_A) of -8.17mA, which is incorrect. The correct answer is -9.45mA, indicating a potential error in the sign of the first term in the KCL equation. Participants suggest reviewing the KCL setup to ensure accurate calculations.

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Homework Statement


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The Attempt at a Solution



Currents entering the top node...

[itex]\frac{V}{6000} - 0.01 - \frac{V}{9000} - \frac{V}{8000} + 0.009 - \frac{V}{3000} = 0[/itex]

Solve for V I get -2.48

The current Ia is the addition of the current going out of Rd add Is2

so... [itex]I = \frac{2.48}{3000} =0.000823[/itex] Therefore.. [itex]I_{A} = 0.000823 - 0.009= -0.008172[/itex] This is wrong... the answer is -9.45mA and I get -8.17mA

Anyone care to help me out!
 
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Check the sign on the first term of your KCL equation...
 
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