Kirchhoff's Current Law problem

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The discussion revolves around a Kirchhoff's Current Law problem where the user attempts to solve for voltage (V) and current (I) at a node. The user calculates V as -2.48 and subsequently finds the current I_A to be -8.17mA, which is incorrect compared to the expected answer of -9.45mA. A suggestion is made to check the sign on the first term of the KCL equation, indicating a potential error in the setup of the equation. This highlights the importance of careful sign management in circuit analysis. The conversation emphasizes troubleshooting common mistakes in applying Kirchhoff's laws.
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Homework Statement


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The Attempt at a Solution



Currents entering the top node...

\frac{V}{6000} - 0.01 - \frac{V}{9000} - \frac{V}{8000} + 0.009 - \frac{V}{3000} = 0

Solve for V I get -2.48

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

so... I = \frac{2.48}{3000} =0.000823 Therefore.. I_{A} = 0.000823 - 0.009= -0.008172 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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