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Find the voltages at each node using nodal analysis. I just need to get to the 5 equations and 5 unknowns part and I can take it from there.
@amistre64 you good in physics?
newtonian basics .... nothing much of anything more advanced.
what is nodal analysis?
is V5 a node? what im reading is that it should be 3 or more branches
I'm not entirely sure how to explain it. This is actually for a MATLAB class, using MATLAB to solve the 5 equations and 5 unknowns when you get that far. I had to result in a youtube video to kinda get an idea of what to do but i still dont think im doing it right.
Yeah v5 is a node
http://www.ee.hacettepe.edu.tr/~solen/Matlab/MatLab/Matlab%20-%20Electronics%20and%20Circuit%20Analysis%20using%20Matlab.pdf it starts on page 72
i lied, 70
the direction in or out of a node represents a + or - value ...
how do we calculate for the coeffs of v1,v2,v3,etc?
you get a common denominator and move the constants to the other side and combine like terms.
direction to node divided by resitance ... and the -5 is the current defined already for V1
(V2 to V1)/10 + (V2 to V3)/40 +(V2 to G)/50 = 0
and then you have to do the same thing for the other two nodes
so you get 3 equations and 3 unknowns in this case
ok now in my problem here's where im confused
at node v5
its v5 to v4 but there's no resistance between them, just a 6A current
the current is already provided yes ... is it coming to the node or going away from it?
its going away from v5 towards v4
your text say current away from a node is positive
(V5 to G)/8 + 6
do you consider ground a node?
Ground is equal to 0
so (V5)/8 + 6 is our equation
ok so I did do that right
and for node V4. Let me draw real quick
-6 + (v4 - v3)/3
(V1)/4 + (V1-V3)/2 -3 = 0 3 + (V2-V3)/5 + (V2-V4)/6 = 0 (V3-V1)/2 + (V3-V2)/5 + (V3-V4)/3 -4 = 0 (V4-V2)/6 + (V4-V3)/3 - 6 = 0
and my equation for v4 is correct?
V4 has 3 branches ... -V2, -V3, and -V5 subtract the node it goes to, and divide off the resistance. if the node it goes to is current ... add/subtract it depending in direction
(V4-V2)/6 + (V4-V3)/3 - 6 = 0
ohh i forgot it goes to v2!
Thank you yet again for your help! I wish i could give all the medals to you lol
youre welcome :)
Have a good night!