How does the length of a wire affect its resistance?
#1
I was wondering if anybody can help me, I am currently worked on an investigation about how the length of a wire affect its resistance.
I was wondering if anybody knows where I can find any formula or scientific explanations.
I have tried google but keep coming up with a load of coursework essays.
I was wondering if anybody knows where I can find any formula or scientific explanations.
I have tried google but keep coming up with a load of coursework essays.
#2
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Provided the wire is uniform, then its resistance is directly proportional to its length. The formula is (something like) R=rho*L/A, where:
R = resistance (Ohms)
rho = resistivity of the material (Ohm metres)
L = length of wire (metres)
A = cross-sectional area of wire (metres).
For a round wire, A = pi*r^2 where r is the radius of the wire.
R = resistance (Ohms)
rho = resistivity of the material (Ohm metres)
L = length of wire (metres)
A = cross-sectional area of wire (metres).
For a round wire, A = pi*r^2 where r is the radius of the wire.
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http://hyperphysics.phy-astr.gsu.edu.../resis.html#c2
check the links for calcs and different values for different materials.
check the links for calcs and different values for different materials.
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The resistance of a wire varies proportionaly with its length. Imagine a length of wire as a resistor, doubling the the length of the wire is the same as having two resistors in series i.e. double the resistance.
#7
If you've got a 2m length of cable with a resistance of 10 Ohms and you double the length of cable it will have a resistance of 20 Ohms. If you place the cables next to each other and twist the ends together, it will have a resistance of 5 Ohms. Ambient temperature/bends/kinks will all affect the resistance of the wire.
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#9
Yes I am I need to do some research for my SC1s but thanks to coursework.com it makes searching on google very difficult. Thanks for the link to that science site, that will be allowed as a source for my information
Thanks to our school being very "kind" they only give us revision guides rather then text books, thus there is no or little information about how length affects the resistence of a wire or how, and they only gave us two days to research so I couldnt get to the library.
Once again ScoobyNet has been very helpful, cheers guys.
Thanks to our school being very "kind" they only give us revision guides rather then text books, thus there is no or little information about how length affects the resistence of a wire or how, and they only gave us two days to research so I couldnt get to the library.
Once again ScoobyNet has been very helpful, cheers guys.
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Ian, you might also want to investigate Townshend, who make the only hi-fi speaker cable in the world (AFAIK) where the length doesn't affect its impedence. It's called Isolda. Might be worth a few extra brownie points to mention the existence of such a product. I have a contact number for them if you fancy talking to the manufacturers direct, if you can't get what you need from the web.
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Actually this is slightly misleading, the Isolda cables are constructed in fixed lengths and each length is tuned to have a set impedance by varying its conductance and capacitance. If you were to cut one in half you would upset this and it would indeed affect the impedance.
Also, impedance is only really meaningful in an AC situation, whereas resistance is a DC property.
Also, impedance is only really meaningful in an AC situation, whereas resistance is a DC property.
#14
http://www.purchon.com/investigations/ is a helpful site I used when writing up all of my GCSE science investigations.
Good luck
Good luck
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Surely you mean inductance?
They are actually varying the impedance [(Capacitive Reactance - Inductive Reactance)^2] and the resistance of the cable.
If a company really could do that then they would be selling their cables to power companies, not to hifi boffins! Infact the only reason power is sent over cables at such a high stepped up voltage is to minimise the effects of impedance by reducing the current and hence the energy lost as heat from the wires.
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Infact the only reason power is sent over cables at such a high stepped up voltage is to minimise the effects of impedance by reducing the current and hence the energy lost as heat from the wires.
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