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VI Characteristic

 
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Jan28-08, 08:37 PM   #1
 

VI Characteristic


1. The problem statement, all variables and given/known data

Hi,

I have the following circuit: http://i137.photobucket.com/albums/q...t3Circuit1.png

Also, the following is known:
X=60 V
R1= 10 Ω
R2= 20 Ω
R3= 10 Ω
R4=5 Ω
R5=20 Ω
R6 = 5 Ω


2. Relevant equations

V = IR
y = mx + b


3. The attempt at a solution

How do I go about finding a V-I characteristic of this circuit? I know that the slope of the graph is the resistance but I am confused as to how to start this one. I found the resistance across the source by using circuit reduction. I got that to be 32 ohms. So is the V-I characteristic just V = 32i? or is it just a constant line y = 60? (in this case V is on the y-axis and I is on the x-axis)


Thanks!
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution
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Jan29-08, 09:15 AM   #2
CEL
 
Quote by abeltyukov View Post
1. The problem statement, all variables and given/known data

Hi,

I have the following circuit: http://i137.photobucket.com/albums/q...t3Circuit1.png

Also, the following is known:
X=60 V
R1= 10 Ω
R2= 20 Ω
R3= 10 Ω
R4=5 Ω
R5=20 Ω
R6 = 5 Ω


2. Relevant equations

V = IR
y = mx + b


3. The attempt at a solution

How do I go about finding a V-I characteristic of this circuit? I know that the slope of the graph is the resistance but I am confused as to how to start this one. I found the resistance across the source by using circuit reduction. I got that to be 32 ohms. So is the V-I characteristic just V = 32i? or is it just a constant line y = 60? (in this case V is on the y-axis and I is on the x-axis)


Thanks!
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution
You can consider the voltage source X as a resistor with zero resistance. It's characteristic is a line parallel to the I axis, passing through V = 60.
X is in series with R1 and R2, so you can associate their characteristics.
Since this sub circuit is in parallel with R3, you can now associate their characteristics.
The resultant characteristic is associated with R4 and R5 which are in series and finally that characteristic is associated with R6 in parallel.
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