Can you write a matlab code which solves this circuit by nodal analysis? I mean

Question

Can you write a matlab code which solves this circuit by nodal analysis? I mean by detecting nodes and graphing etc.

Solution eThe number of nodes is 4 N1 N3 90 30 250V 100 120 V We will number the nodes as shown to the right. 200 V 15 20 N2 20 0 N4 300 V 60 We will choose node 2 as the reference node and assign it a voltage of zero e e Write down Kirchoff's Current Law for each node. Call V1 the voltage at node 1, V3 the voltage at node 3, V4 the voltage at node 4, and remember that V2 =0. The result is the following system of equations: V1 V1-200 V1-V3+250 159030 V3-V1-250 V3-V4 V3-V4+120 30 20-+-100 -=U V4-V3 V4 V4-V3-120 V4+300 The first equation results from KCL applied at node 1, the second equation results from KCL applied at node 3 and the third equation results from KCL applied at node 4. Collecting

Explanation / Answer

Here MATLAB is only use for matrix calculation purpose

Code

A=[(1/15+1/90+1/30),-(1/30),0; (-1/30),(1/30+1/20+1/100),-(1/20+1/100); 0,-(1/20+1/100),(1/20+1/20+1/100+1/60)]

b=[(200/90-250/30); (250/30-120/100); (120/100-300/60)]

format long

inv(A)*b

ans =

-35.878594249201292

63.738019169329064

0.191693290734824

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