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Effects change of diameter has on to resistance.

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Introduction

Effects change of diameter has on to resistance.

I am going to be measuring what effect diameter of a wire has on resistance of a wire.

In my prediction I will be considering two equations.

I will have to rearrange this equation to make R the subject. Once I have done this I will get an equation like this.

In this equation R is resistance, A is the cross sectional area, P is the resistivity and L is the length.

In this equation I also need to substitute in the equation for area, therefore the equation will also be linked to diameter of the wire. The equation I will be substituting into the above is.

π.d2

When this is substituted into the equation for resistance it will give me an equation like this.

I am going to be trying to find out the relationship between resistance and diameter. In my experiment I will make a circuit as follows.

A wire is placed into the two crocodile clips and pulled straight. The wire must be of about 1.

...read more.

Middle

0.56

0.005

1%

0.57

22

0.71

0.7

0.71

0.005

1%

0.71

20

0.92

0.92

0.92

0.005

1%

0.92

18

1.21

1.21

1.22

0.005

0%

1.21

1

2

3

Voltage (V)

Current (A)

Resistance (Ω)

Voltage (V)

Current (A)

Resistance (Ω)

Voltage (V)

...read more.

Conclusion

There are lots of sources of error to be taken into a account, like when measuring out the meter of wire, this wont cause a lot of error but it builds up. Calculating 1/(d/)^2 will create a reasonable amount off error, these all have to be taken into consideration.

I took these sources of error into consideration and to reduce them you could, increase the size of measurement you are taking to reduce the percentage error. Also if I used a analogue ammeter and voltmeter I could have reduced the amount of error. Most of my uncertainties were about 1% so this isn’t massive but it will effect my line of best fit. If I was to reduce my uncertainty’s by taking more time and using more accurate measuring equipment I could have produced a more accurate line of best fit.

For my experiment the overall percentage uncertainty is about 2% calculated to 1 decimal place. This isn’t very big therefore I think my results are reasonably reliable and this relationship I have show is valid.

...read more.

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