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SparkimusPrime
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Excerpt from:
Beicher and Serway, "Physics for Scientists and Engineers with
Modern Physics, 5th edition"
Problem 24
In the circuit shown, determine the current in each resistor and the voltage across the 200 ohm resistor.
(see attached for circuit diagram)
E1 = 40V
E2 = 300V
E3 = 80V
r1 = 200 ohm
r2 = 80 ohm
r3 = 20 ohm
r4 = 70 ohm
I've come up with some very ugly equations to express the current flow across various parts of the circuit, as follows:
I_1 = I_5 + I_6
I_3 = I_1 + I_2
I_3 = (-I_5*r1 - E3) / r4
I_2 = (I_5*r1 - E2) / r3
I_6 = (I_5*r1 + E1) / r2
I_5 = (I_2*r3 + E2) / r1
I realize that I'll have to solve this system of simultaneous equations in order to find the values that I need to answer the problem. The problem is that the scale of the problem defeats my ability to do the algebra, so I need to let my calculator do all of the hard work. I have a TI-89, I assume I'll need to edit a matrix of some sort, but I don't know how, with this calculator.
Thanks.
Peter