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I'm trying to find the thevenin equivalent of a particular circuit so that I can calculate the current across an inductor.

I've attached a pdf with the circuit and the working out I've done so far.

When I'm talking about i_{0}I'm talking about the Thevenin equivalent current and voltage at the nodes near the 1V power source.

I have done this question over and over (and admittedly I do keep getting different answers).

I know that the correct i_{0}is 3A however the closest I've gotten is -5A (the rest have been divisible by 7 or something).

I have a feeling it has something to do with my signs around the circuit, but it'd be a huge help if someone could look over it and let me know where I'm going wrong/ how to get it right lol.

The yellow part is attempt 1 with the orange part being attempt 2.

Anything that is yellow but is circled in orange I've used in attempt 2.

Also the matrix at the bottom is cut off a bit.

It should be: R_{2}-2*R_{1}

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# Finding the thevenin equivalent using Vo and Io

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