Engineering Problem with current splitting in circuit

AI Thread Summary
The discussion revolves around a circuit analysis issue involving current splitting at node v1. The initial equation provided led to a calculated voltage of v1 = 5.02 V and current i0 = 1.13 mA, which differed from the PSPICE simulation results of v1 = 5.8 V and i0 = 1 mA. The user realized the mistake was due to not summing the resistance on the right side of the equation, which affected the calculations. The conversation highlights the importance of correctly accounting for all resistances in circuit analysis. The user ultimately resolved the confusion regarding the current distribution at the node.
geft
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I have no idea why my working is incorrect. This is my starting equation:

v1/5.8k + (v1 - 2.3)/2.4k = 2/k

From there, I got v1 = 5.02 V and i0 = 1.13 mA

To check my answer, I run a simulation on PSPICE, but it returned v1 = 5.8 V and i0 = 1mA

Essentially, the current splits equally at node v1, but it shouldn't be as the resistances on both sides don't seem to be equal.
 
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Node analysis, split current problem

upX1D.png


I have no idea why my working is incorrect. This is my starting equation:

v1/5.8k + (v1 - 2.3)/2.4k = 2/k

From there, I got v1 = 5.02 V and i0 = 1.13 mA

To check my answer, I run a simulation on PSPICE, but it returned v1 = 5.8 V and i0 = 1mA

Essentially, the current splits equally at node v1, but it shouldn't be as the resistances on both sides don't seem to be equal.

EDIT: Ah, I got it. I didn't know the resistance on the right side needs to be summed up.
 
Last edited:
But you have only included the 2.4k resistor in your formula - did you leave the 1.1k when calculating i0 ?

Happy New Year
 
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