M
meyousikmann
- Jan 1, 1970
- 0
I am currently studying Kirchoff's Current Law and Kirchoff's Voltage Law
with respect to DC circuit analysis. I am an amateur just trying to learn
the basics of electronics so go easy on me. According to the text that I
have, if given this circuit
http://i92.photobucket.com/albums/l14/meyousikmann/electronics.jpg I should
be able to get the node voltages b and c using both methods KCL and KVL,
which I can given the methods in the text. However, I was wondering if I
could also solve this question using linear algebra methods.
Going with KCL, I should be able to get two equations of the form:
(...)Vb + (...)Vc = Kb (node b)
(...)Vb + (...)Vc = Kc (node c)
Going with KVL and using the definitions (loop a = V0,R1,R4) (loop b =
R1,R2,R3) (loop c = R4,R2,R5), I should be able to get three equations of
the form:
(...)I2 + (...)I4 + (...)I5 = Ga (loop a)
(...)I2 + (...)I4 + (...)I5 = Gb (loop b)
(...)I2 + (...)I4 + (...)I5 = Gc (loop c)
I am fine with solving the equations via linear algebra once I get them
setup, but I am having a little difficulty getting the equations setup. I
just need help setting up the equations as I don't want any answers with
numbers. I just want to understand how to setup the equations. Anyone
offer any assistance to an amateur electronics hobbiest?
with respect to DC circuit analysis. I am an amateur just trying to learn
the basics of electronics so go easy on me. According to the text that I
have, if given this circuit
http://i92.photobucket.com/albums/l14/meyousikmann/electronics.jpg I should
be able to get the node voltages b and c using both methods KCL and KVL,
which I can given the methods in the text. However, I was wondering if I
could also solve this question using linear algebra methods.
Going with KCL, I should be able to get two equations of the form:
(...)Vb + (...)Vc = Kb (node b)
(...)Vb + (...)Vc = Kc (node c)
Going with KVL and using the definitions (loop a = V0,R1,R4) (loop b =
R1,R2,R3) (loop c = R4,R2,R5), I should be able to get three equations of
the form:
(...)I2 + (...)I4 + (...)I5 = Ga (loop a)
(...)I2 + (...)I4 + (...)I5 = Gb (loop b)
(...)I2 + (...)I4 + (...)I5 = Gc (loop c)
I am fine with solving the equations via linear algebra once I get them
setup, but I am having a little difficulty getting the equations setup. I
just need help setting up the equations as I don't want any answers with
numbers. I just want to understand how to setup the equations. Anyone
offer any assistance to an amateur electronics hobbiest?