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

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SUMMARY

The discussion focuses on determining the V-I characteristic of a circuit with a voltage source of X=60 V and resistors R1=10 Ω, R2=20 Ω, R3=10 Ω, R4=5 Ω, R5=20 Ω, and R6=5 Ω. The resistance across the source was calculated to be 32 Ω using circuit reduction techniques. The V-I characteristic can be expressed as V = 32I, indicating a linear relationship, while the voltage source itself maintains a constant voltage of 60 V, represented as a horizontal line in the V-I graph.

PREREQUISITES
  • Understanding of Ohm's Law (V = IR)
  • Familiarity with circuit reduction techniques
  • Knowledge of series and parallel resistor combinations
  • Ability to interpret V-I characteristics in electrical circuits
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  • Learn about circuit reduction methods for complex circuits
  • Explore V-I characteristics of different circuit configurations
  • Investigate the impact of varying resistance on circuit behavior
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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!
 
Last edited by a moderator:
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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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