Problem with current splitting in circuit

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geft
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Circuit schematic with nodes labeled v1 and i0: 5.8 kΩ resistor on the left, 2.4 kΩ resistor top right, 1.1 kΩ resistor bottom right, 2.3 V source and 5 V source, a 2 mA current source pointing down, and i0 marked on the right branch.


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.
 

Discussion

Node analysis, split current problem

Circuit schematic with a 5.8 kΩ resistor on the left, a 2.4 kΩ resistor and 1.1 kΩ resistor on the right, a -2 mA current source, a 5 V source, a 2.3 V source, node v1 at the top, and current i0 marked on the right branch.


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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