Node voltage time domain circuit

Thread Starter

jstrike21

Joined Sep 24, 2009
104
I have the two node equations set up

Node A: -10 + V1/10 + (v1-v2)/(1+j56.55)=0
Node B: (v2-v1)/(1+j56.55) - v2/j299.16 + v2/5=0

I have no idea how to solve this...
help please


updated the pdf attached
 

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t_n_k

Joined Mar 6, 2009
5,455
I have the two node equations set up

Node A: -10 + V1/10 + (v1-v2)/(1+j56.55)=0
Node B: (v2-v1)/(1+j56.55) - v2/j299.16 + v2/5=0

I have no idea how to solve this...
help please


updated the pdf attached
In any case you need to re-arrange the equations first by collecting the coefficients of the common variable terms (v1 & v2) into the standard form for solution.

Node A:

V1(1/10+1/(1+j56.55))-V2/(1+j56.55)=10

Node B:

-V1/(1+j56.55)+V2(1/(1+j56.55)+1/5-1/j299.16)=0

If you have Matlab or something equivalent which handles complex number matrices you can solve the two equations simultaneously for V1 & V2. Otherwise you have to do it long hand which is a fair amount of work.
 
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