# Nodal analysis with dependent source.

Discussion in 'Homework Help' started by Jess_88, May 2, 2011.

1. ### Jess_88 Thread Starter Member

Apr 29, 2011
174
1
hi guys For this question I need to fined V1,V2 and V3 using nodal analysis.
The resister values are in S... which I'm guessing is admittance (my lecturer used Y for admittance in his notes ).

so here is the cct for the analysis I am unsure as to the voltage between V1 and V2... I'm assuming its just 2Vo.

I'm realy not sure if I constructed my equations correctly...

here is what I have for my equations.
s = 1/R
At node V1
eq1) 2(V1 -V2) +2 + 2Vo = 0

at node V2
eq2) 4V2 -2Vo + 8(V2 - V3) = 0

node 3 = 13V
Vo = 1(V2)

substituting V3 = 13 and Vo = V2
eq1) 2(V1 - 13) + 2 + V1 + 2V2 = 0
3*V1 + 2*V2 = 24

eq2) 4*V2 + 8*V2 - 8*V3 - 2*V2 = 0
10*V2 = 8*13
V2 = 10.4V

subbing V2 into eq1
V1 = 1.1V

Thanks guys 2. ### Jony130 AAC Fanatic!

Feb 17, 2009
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3. ### t_n_k AAC Fanatic!

Mar 6, 2009
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790
Unfortunately your equations are not correct.

You seem to be treating the voltage controlled voltage source as a current source.

Keep in mind that V2=Vo.

So it's worth noting that V1=V2+2Vo=3Vo

I would combine Node 2 (LHS of equation) & Node 1 (RHS of equation) as

8(V3-V2)-4V2=V1+2(V1-V3)-2

Then substitute V1=3Vo, V2=Vo & V3=13 and solve for Vo

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4. ### Jess_88 Thread Starter Member

Apr 29, 2011
174
1
so I get
2 + 10V3 = 21Vo

subbing V3 = 13V
V1 = 18.857
V2 6.285

correct?

5. ### t_n_k AAC Fanatic!

Mar 6, 2009
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excellent 