What are the conclusions you can make from this graph?

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The discussion focuses on interpreting a graph that illustrates the relationship between the length of a wire and its resistance. Key conclusions include that if the graph shows a straight line passing through the origin, resistance is directly proportional to wire length. If the line does not pass through the origin, it indicates uniform increases in resistance with length. The gradient of the graph provides insights into the rate of change of resistance relative to length. Understanding these points can help articulate conclusions about the relationship between wire length and resistance effectively.
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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...
 
Thread 'Correct statement about size of wire to produce larger extension'
The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...

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