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[SOLVED] Node Analysis for AC Circuits

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tahir4awan

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For DC circuits analysis I like mesh (loop) method to be the best because the node analysis is very complex. Now our teacher asked us to solve AC circuits with node analysis.
Is there any simple method to solve AC circuits.
 

The wikipedia article on mesh analysis uses an AC circuit as an example. Basically you should use the impedance (ac) instead of resistance (dc). For example 1/sC for capacitors sL for inductors.

Mesh analysis - Wikipedia, the free encyclopedia

Stefaan
 

I think what if you find difficult the nodal analysis is because you have not reached a good understanding.

Both, mesh analysis and node allow write the equations using mnemonics rules within the same level of complexity.

Personally I prefer the analysis of nodes because the system of equations is unique (there's always different path in mesh analysis) and except in special cases, the resulting system has one equation less.


For example the circuit shown in the link Mesh analysis - Wikipedia, the free encyclopedia

The 2x2 system using node method:
(1/R1 + 1/R2 + sC)Vc - Vl/R2 = Vs/R1
- Vc/R2 + (1/r2 + 1/(sL))Vl = Is

I have not hide any intermediate step, just write directly the equations applying mnemonics rules.
 

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