Problem with current splitting in circuit

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SUMMARY

The discussion centers on a circuit analysis problem involving voltage and current calculations at node v1. The initial equation used was v1/5.8k + (v1 - 2.3)/2.4k = 2/k, leading to a calculated v1 of 5.02 V and i0 of 1.13 mA. However, a PSPICE simulation revealed different results: v1 = 5.8 V and i0 = 1 mA. The issue was identified as a misunderstanding of resistance summation on the right side of the circuit, specifically neglecting the 1.1k resistor.

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  • Knowledge of resistor combinations and equivalent resistance calculations.
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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
 
Last edited by a moderator:

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