Hi, my last post about mesh analysis, http://forum.allaboutcircuits.com/showthread.php?t=76926 , turned out to be a computational error.
I'm pretty sure this one is a conceptual problem though. In the same pdf (http://ocw.mit.edu/courses/electric...pring-2006/lecture-notes/nodal_mesh_methd.pdf), on page 17, I'm having trouble understanding how to calculate node voltages (v1 and v2) - as well as a few mesh currents, particularly the one flowing through the 4 ohm resistor.
I have drawn three mesh currents - and the equations are as follow
6(I_a-I_b)+4(I_a-I_c)=12
2I_b+2(I_b-I_c)+6(I_b-I_a)=0
3I_c+4(I_c-I_a)+2(I_c-I_b)=0
I have defined I_a to be the left loop current, I_b to be the top right loop current, and I_c to be the bottom right loop current.
Solving for this on my calculator yields
I_a=129/35 I_b=93/35 I_c=78/35
It's evident to me that i_1=129/35, and i_2=i_c-i_b=-3/7
However, I'm not particularly sure how to calculate the voltage at nodes, - perhaps I just don't understand this subject well enough.
Thanks in advance for any help!
I'm pretty sure this one is a conceptual problem though. In the same pdf (http://ocw.mit.edu/courses/electric...pring-2006/lecture-notes/nodal_mesh_methd.pdf), on page 17, I'm having trouble understanding how to calculate node voltages (v1 and v2) - as well as a few mesh currents, particularly the one flowing through the 4 ohm resistor.
I have drawn three mesh currents - and the equations are as follow
6(I_a-I_b)+4(I_a-I_c)=12
2I_b+2(I_b-I_c)+6(I_b-I_a)=0
3I_c+4(I_c-I_a)+2(I_c-I_b)=0
I have defined I_a to be the left loop current, I_b to be the top right loop current, and I_c to be the bottom right loop current.
Solving for this on my calculator yields
I_a=129/35 I_b=93/35 I_c=78/35
It's evident to me that i_1=129/35, and i_2=i_c-i_b=-3/7
However, I'm not particularly sure how to calculate the voltage at nodes, - perhaps I just don't understand this subject well enough.
Thanks in advance for any help!
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