How Does Substitution Work in Mesh Analysis Equations?

AI Thread Summary
Substitution in mesh analysis involves replacing variables in equations to simplify calculations. The discussion highlights the application of Kirchhoff's Current Law (KCL) at a specific node, illustrating how currents are related. The user initially struggled with understanding the derivation of a subsequent equation but realized it was a straightforward substitution of current values. This clarification emphasizes the importance of recognizing relationships between currents in mesh analysis. Understanding these substitutions is crucial for effective circuit analysis.
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I understand everything up to the point which I've marked in red...

4020753639_1f2649796d_o.jpg


Can anyone explain those few lines?

I would greatly appreciate it!

Thanks.
 
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Seems like KCL (Kirchoff's Current Law) at node A.
i1 = i0 + i2

(sum of currents entering) = (sum of currents leaving)
 
muhandis said:
Seems like KCL (Kirchoff's Current Law) at node A.
i1 = i0 + i2

(sum of currents entering) = (sum of currents leaving)

I understand that part, but how did they derive the equation below that line?
 
They just substituted into the equation above.
 
muhandis said:
They just substituted into the equation above.

Oh, I see it now. I totally misunderstood the fact that they were simply substituting i0 = i1 - i2 into the third mesh equation.

Thanks :-)
 
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