How do I find the equations to solve this circuit
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How do I find the equations to solve this circuit

[From: ] [author: ] [Date: 12-09-04] [Hit: ]
I havent done circuit analysis in two years and need some assistance with this. Thank you.Here is a picture of the circuit.http://img138.imageshack.for node 1 (V1)The current into the node is 8 amps and the current out is (V1 - V2)/8 ohms.......
I need to find three equations in terms of v1, v2, and v4 and not sure how to approach this. I haven't done circuit analysis in two years and need some assistance with this. Thank you.

Here is a picture of the circuit.
http://img138.imageshack.us/img138/80/ci…

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I suggest using nodal analysis
for node 1 (V1) The current into the node is 8 amps and the current out is (V1 - V2)/8 ohms. So
8 amps = (V1 - V2)/10 ohms
for node 2 (V2)
6Io current = (V2 -V1)/10 ohms + V2/4 ohms + (V2 -V3)/12 ohms
Where 6Io current is the current into V2 from the 6 Io voltage source.
But V3 = 20 Volts and V2 = 6Io + 20 Volts , so V2 - V3 = 6Io Volts

Node 4 (V4)
Io = 8 amps + V4/1 ohm
But 2Io = V4/1 ohm
The current through the 1ohm resistor is 2 Io
Io = 8 + 2Io
Io = 8/3 = 2.666 amps
So V4 = 2Io= 5.333 volts
The first equation can be written as
80 volts = V1 - V2 = V1- 6Io -20 and since 6Io = 6(2.666) = 16 volts
V1 = 100 + 16 = 116 volts
V3 is 20 volts
V2 = 20 + 6Io = 36 volts
So
V1 = 116 volts
V2 = 36 volts
V3 = 20 volts
and V4 =5.333 volts

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You just want how?

Open your textbooks and look up the various laws of circuits, such as kirchoff's, ohm's, and others.

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Time to refresh you knowledge of Thevenin and Norton: refer to the 'Net.
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