VI Characteristic of Circuit - Solving for X, R1-R6

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To determine the V-I characteristic of the given circuit, the voltage source X (60 V) behaves like a zero-resistance element, resulting in a line parallel to the current (I) axis at V = 60. The circuit includes resistors R1 and R2 in series, which can be analyzed together, and their combined characteristics can be associated with R3 in parallel. The resultant characteristics from this combination are then linked with R4 and R5 in series, followed by R6 in parallel. Ultimately, the V-I characteristic reflects the overall behavior of the circuit based on these relationships.
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Homework Statement



Hi,

I have the following circuit: http://i137.photobucket.com/albums/q208/infinitbelt/ProblemSet3Circuit1.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


Homework Equations



V = IR
y = mx + b


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!
 
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abeltyukov said:

Homework Statement



Hi,

I have the following circuit: http://i137.photobucket.com/albums/q208/infinitbelt/ProblemSet3Circuit1.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

Homework Equations



V = IR
y = mx + b

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!

Homework Statement


Homework Equations


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.
 
Last edited by a moderator:

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