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MIT 6.002 Circuits and Electronics, Spring 2007 21 Online
OpenStudy (anonymous):

could you find v1, v2, and v3 in this case..

OpenStudy (anonymous):

OpenStudy (john_es):

I'm a little lost here. Usually I find the voltages in resistors or between two points of the circuits. What does mean those v1, v2 and v3?

OpenStudy (anonymous):

it's voltage at a node when it compared to ground..

OpenStudy (john_es):

Have you tried Kirchoff equations?

OpenStudy (anonymous):

yea, i've tried it KCL and KVL, but i can't do when there are current source and voltage source present at the same time..

OpenStudy (john_es):

Yes, what you need is nodal analysis. http://en.wikipedia.org/wiki/Nodal_analysis

OpenStudy (anonymous):

oh, i get it, just by combine the voltage source.. thanks

OpenStudy (anonymous):

eh, could you helpme with my second question

OpenStudy (anonymous):

to find Io and Vab

OpenStudy (john_es):

Ok, well. I would do a simplification first. The three resistive elements that form a triangle can be rearranged to have 2 resisntance in serie and this two in parallel with the third one.

OpenStudy (john_es):

Then you can select to go around that way or apply directly Kirchoff equations. In this case, I think, it is possible do it better than the first case.

OpenStudy (anonymous):

delta to wye transformations? But after i transform it, i still can't find Io and Vab

OpenStudy (john_es):

However, can you solve the circuit that gives you after transformation?

OpenStudy (anonymous):

i'm still stuck after transformations, there aren't current anywhere..

OpenStudy (anonymous):

i can't find the current value..

OpenStudy (anonymous):

You can do this without applying the transformation. There are three loops in the given picture (picture004.jpg). I will assume the current flowing in these loops to be I1 , I0 and I2 in clockwise direction starting from the top. Now you can apply Kirchoff's law in each loop separately. You should get the following 3 equations: 80V = 20I2 + 30(I2-I0) +20(I2-I1) .........(i) 80V = 20(I1-I2) +30(I1-I0) +20I1 ...........(ii) 0 V = 30(I0-I2) + 30I0 + 30(I0-I1) .........(iii) You have got 3 equations and three unknowns. You can solve for I0 The find Vab = I0*R

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