Electrical engineering superposition principle/set up a system of equations?

Good day,

Can someone please help me with this electrical engineering problem? I've been working on it for a few hours and just can't get any further. I've set up the system of equations (although I'm not sure if it's correct). I'm stuck on the superposition principle. Specifically, determining current I6 while the voltage source is off.

I would be very grateful for your support.

Thank you in advance

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AMG38
1 year ago

When using the superposition principle, you must consider the respective sources isolated so that you can calculate the respective currents.

The power source on the right is first switched off (empty, removed). These results in an open circuit for R2 and can also be omitted.

Now you can set up your equations based on this circuit. The total resistance of this circuit would be eg

This gives you the current I1(1) originating from U01 and accordingly also all the other partial currents and voltages originating from this source. For all sizes of this circuit the index (1).

Now you look at the other source or switch it back as if, then remove the other source. In voltage sources, this is done by a short circuit, ie, you construct the source U01 and connect R1 directly to the node K4.

Now you retrieve all the part sizes of this circuit and measure the index (2). Then you superimpose the results of (1) and (2).

AMG38
1 year ago
Reply to  omar2830

This is probably due to the fact that in the associated circuit a triangular star or star triangle transformation must be made in order to be able to combine some resistors. Look. here