Find Voltage in the circuit

1. Oct 8, 2011

ee_ess_ee-kid

1. The problem statement, all variables and given/known data

http://i.imgur.com/YRK5L.png

2. Relevant equations

Loop analysis, so KVL

3. The attempt at a solution

I did the problem, and I got V0 = 12.5292V. If this is incorrect, I'll be more than happy to upload my work. Can someone verify the answer for me? Just tell me if it's right or wrong.

Last edited by a moderator: Oct 10, 2011
2. Oct 10, 2011

rude man

I got Vo+ - Vo- = +14.359 V.

I use nodal equations rather than loop equations. I've always thought loop equations were stupid. I just pick every independent node and sum currents = 0. For example, my first (of three) equation is

(10 - Vx)/2K + (Vo+ - Vx)/3K + 8mA = 0.
Vx is the voltage in the middle. I made the bottom node zero V. (I really should have made Vo- = 0 but it doesn't matter).

I don't want to look at your loop equations, for which I apologize. I just don't like it when one component can carry 2 or 3 or even more "currents"!

BTW I used math app software to do the equation solving so my answer is correct assuming I wrote the equations right. I checked carefully but they could still be wrong, of course.

Last edited: Oct 10, 2011
3. Oct 10, 2011

ee_ess_ee-kid

It seems like your example nodal equation is for the middle node, in which case, I think it looks incorrect?

If it is the middle node, you forgot to consider the 2k resistor to the right of the node.

4. Oct 10, 2011

rude man

You are absolutely right!!

I will recompute. Thanks for bringiong that to my attention.

5. Oct 10, 2011

rude man

Now I get +13.12V.

Here are my three equations, maybe you can spot another mistake. Don't be confused by the fact that I use conductances instead of resistances: G = 1/R. It makes the math easier for me. Conductances are in mS, currents in mA (1mS = 1/1K ohm):

0.5(10-x) + .33333(Vop-x) + 8 + 0.5(Von-x) = 0
4 = 0.33333(Vop-x) + 0.125(Vop-Von)
0.125(Vop-Von) + 0.5(x-Von) = 0.125Von

Last edited: Oct 10, 2011
6. Oct 11, 2011

ee_ess_ee-kid

Awesome, I tried doing the problem again and it seemed like I missed something in my loop equations as well. I got 13.12 V too.

7. Oct 11, 2011

rude man

Yay team!

8. Oct 11, 2011

ee_ess_ee-kid

Could you possibly look at my other question please?