Determine value of the resistance of the resister

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    Resistance Value
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Homework Help Overview

The discussion revolves around determining the resistance value of a resistor using a graph that plots current against voltage. The original poster presents data for different resistors and seeks clarification on how to extract resistance from the graph.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between voltage and current as represented by the equation V=IR, suggesting that the slope of the graph can be interpreted as resistance. Questions arise about the interpretation of the slope and its relation to the resistance value.

Discussion Status

The conversation is ongoing, with participants exploring the concept of slope in the context of the voltage-current graph. Some guidance has been provided regarding the relationship between the slope and resistance, but there is no explicit consensus on the interpretation yet.

Contextual Notes

Participants are working with specific data points for different resistor values and are considering the implications of resistivity and the effects of heating on resistance calculations.

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Homework Statement



1.How do you determined( calculate )the value of the resistance of the resister by looking on a graph?


Homework Equations


V=IR


The Attempt at a Solution


I have data which includes a graph of Current in Amps volts for 47, 60 and 100 omega


DAta:
Current (Amps) 47Ω Voltage (Volts) 68Ω Voltage (Volts) 100Ω Voltage (Volts)
0.01 0.5 0.6 1.6
0.02 0.8 1.3 2.5
0.03 1.3 2.1 3.3
0.04 1.8 3.0 4.6
0.05 2.3 3.5 5.7
 
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Compare V = RI
with y = mx + b
Obviously the y-intercept is zero. The graph should have V on the y-axis and I on the x axis. Then the slope will turn out to be the resistance. Draw a line of best fit through the data points and find the slope.
 


So you know that resistivity and resistance are properties of any particular resistor.

The equation you listed V=IR is correct assuming that the resistor doesn't heat up significantly.

If you take a closer look at V=IR you'll notice that current is proportional to voltage, and that current and voltage are equivalent by some constant resistance value. Well that's just a line!

We can think of it like this:

V(I) = RI sort of like we think of y(x) = mx

So your resistance value is just the slope of the voltage vs. current graph.

Any of this help?
 


so you find the slope then that is the resistance value? in this case the y= mx = b , then the mx is the resistance value?
 


No, "m" is the resistance value, since it is the slope.
 

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