# Nodal Analysis

Discussion in 'Homework Help' started by J.live, Sep 29, 2010.

1. ### J.live Thread Starter Member

Sep 10, 2010
35
1
Question :

Find V1 and i1 using nodal analysis

Attempt

I know i1 is 0 because of a circuit break.

But, I am not able to figure out how many nodes there are in this circuit?

I thought there are four nodes connected to the reference point but the book only considers two.

Or is it because we are only looking for V1 so we ignore the other nodes?

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2. ### t_n_k AAC Fanatic!

Mar 6, 2009
5,448
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Yes - I1=0

There are effectively three nodes including the common or reference 'rail'. You can ignore the 2Ω and I1 for the purposes of finding V1.

3. ### J.live Thread Starter Member

Sep 10, 2010
35
1
but why does the book considers the first two nodes which are VA and VB in order to find V1? The last one with
6 ohms is ignored I don't understand why.

4. ### t_n_k AAC Fanatic!

Mar 6, 2009
5,448
790
I'd consider the nodes as shown in attachment.

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5. ### J.live Thread Starter Member

Sep 10, 2010
35
1
That's what my question is. How can Node b be a combination 3 nodes? I don't know how to identify that.

6. ### Georacer Moderator

Nov 25, 2009
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1,285
Is there anything located between those "three nodes"? No, and therefore you can view them as a single node. Since there is a short circuit between those points, they all have the same voltage and can be treated as a single point.

7. ### J.live Thread Starter Member

Sep 10, 2010
35
1
Yeah, very true. Thanks once again, Georacer.