What are the conclusions you can make from this graph?

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SUMMARY

The discussion centers on the relationship between the length of a wire and its resistance, as depicted in a graph. Key conclusions include that if the graph is a straight line passing through the origin (0,0), then resistance is directly proportional to wire length. Conversely, if the line does not pass through the origin, resistance increases uniformly with length, indicating a consistent relationship. The gradient of the graph provides insights into the rate of change of resistance with respect to length.

PREREQUISITES
  • Understanding of Ohm's Law and resistance concepts
  • Familiarity with graph interpretation techniques
  • Knowledge of linear relationships in physics
  • Ability to calculate the gradient of a line
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  • Study the principles of Ohm's Law in detail
  • Learn how to analyze linear graphs in physics
  • Explore the concept of proportionality in mathematical relationships
  • Practice calculating gradients from various graphs
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Students studying physics, particularly those focusing on electricity and resistance, as well as educators seeking to enhance their teaching methods in graph interpretation.

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Homework Statement


Hi all I have this simple graph that is about how the length of a wire affects it's resistance. I usually get homework questions asking me, what conclusion can you make from you investigation (using the graph) and explain why you made this conclusion. The only problem is that I find it difficult to put things into words.

Here is one of the graphs (sorry I don't have a scanner)
DSC_0134.jpg


If you could just give me some simple answers to these questions that will help to be able to explains in my own in the future, kind of like a template that would be great

Homework Equations


1.What conclusion can you make about a link between the length of a wire and it's resistance?

2.Use the graph to explain why you made this conclusion?

If you could just make two simple points to each question that would be great.

many thanks,
nate. :)
 
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First of all...extend the line so that it meets the axes.
If a straight line passes through (0,0) then you can say that y is directly proportional to x
If the line does not pass through (0,0) then the right thing to say is that y increases uniformely with x, or equal increases in x result in equal increases in y
Find the gradient of the graph... what will that tell you?
Should your graph pass through (0,0)? If it should, and it does not, can you explain it...
 

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