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Ok, I have modified my question again about the same circuit seen below: enter image description here

I have to simplify the circuit using source transformation and then find the current ix.

enter image description here enter image description here

I have attached my attempted solutions but I do not get the correct answer of ix = 0.9A ( I am getting 4.3 amps now).

What I suppose I would like to know is:

Is my circuit simplification correct or have I made a mistake somewhere?

Or could I have solved the current ix easily from any of the earlier steps I made in my circuit simplification? i.e. when would you guys stop performing source transformation and circuit simplification and start with circuit analysis to solve the current ix?

Thanks.

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1) The far right is a voltage source with series resistance - it can be transformed, then combined with 9A. Then you can transform back into voltage.

2) Now you have only a single loop equation.

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  • \$\begingroup\$ I have modified my original post with a new question if you would like to see it. \$\endgroup\$ – David777 Oct 16 '18 at 20:02
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    \$\begingroup\$ From the first (hand drawn) circuit to the second, make sure you keep track of where ix is defined... \$\endgroup\$ – Selvek Oct 16 '18 at 22:09
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    \$\begingroup\$ Nope. At the top, you have i_total = ix+9A. At the bottom, you have i_total = ix. \$\endgroup\$ – Selvek Oct 16 '18 at 22:23
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    \$\begingroup\$ Yes, 0.9A is correct (confirmed in LTspice) \$\endgroup\$ – Selvek Oct 17 '18 at 19:11
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    \$\begingroup\$ @David777 Your ix-9 should be ix+9 \$\endgroup\$ – Selvek Oct 21 '18 at 19:29

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