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# Investigation into how the length of a piece of wire is related to the resistance.

Extracts from this document...

Introduction

Investigation into how the length of a piece of wire is related to the resistance

## Introduction

I am going to investigate how the length of a piece of wire is related to the resistance.

Resistance can be calculated with this equation:

voltage (in V)

Resistance (Ω) = current (in A)

So to find if the length of a piece of wire is related to the  resistance, I need to put the piece of wire in a circuit, then measure the voltage across it and the current going through it.

## Apparatus

Voltmeter- measure the volts across the piece of wire

Ammeter- measures current going through the piece of wire

Micrometer- measures the thickness of the wire

Variable resister- varies current going through the wire

Power pack- supplies the power needed to make the circuit work

Bare wire- attached to meter rule which acts as a resistor.

## Key Factors

Thickness of wire- this will be kept constant

Temperature- this will not be kept constant, but will be controlled

Type of wire (nichrome) - this will be kept constant.

## Method

The apparatus was set up as shown in the diagram. A piece of nichrome wire of length 200cm was cut and placed on the ruler.

Middle

7.73

80.0

2.00

0.23

8.70

90.0

2.00

0.21

9.52

100.0

2.01

0.19

10.60

##### 2 Meters – 3 Volts
 Length / CM Voltage / V Current / A Resistance /  Ω 10.0 3.03 2.56 1.20 20.0 3.01 1.40 2.50 30.0 3.00 0.94 3.20 40.0 3.00 0.71 4.20 50.0 3.00 0.56 5.30 60.0 3.02 0.48 6.30 70.0 3.02 0.41 7.40 80.0 3.00 0.36 8.30 90.0 3.01 0.32 9.40 100.0 3.00 0.29 10.30 110.0 3.00 0.26 11.50 120.0 3.00 0.24 12.50 130.0 3.00 0.22 13.60 140.0 3.01 0.20 15.05 150.0 3.00 0.19 15.80 160.0 3.00 0.17 17.65 170.0 3.01 0.16 18.00 180.0 3.01 0.15 19.25 190.0 3.01 0.15 10.06 200.0 3.02 0.14 21.60

From the preliminary work I know that I can safely work with a voltage up to 3v so I have decided to use 2 meters of wire and 3 v because it would give me a good line

Conclusion

than this:

In this diagram the wire is half the length of the wire below and so has half the number of atoms, this means that the electrons will collide with the atoms half the amount of times. Also if the length of the wire was trebled or quadrupled then the resistance would also treble or quadruple.

## Evaluation

From my results table and graph I can see that my results that I collected are very reliable. I know this because my results table does not show any individual anomalous results this means that I did not have to leave any results out of my averages because they were anomalous. Also on the graph I can see that none of the averages plotted are anomalous because all the averages lie along the same straight line. If I were to repeat this investigation I would use pointers instead of crocodile clips, I would do this because pointers would be more accurate. The pointers would be more accurate because the tips have a much smaller area than the crocodile clips giving a more accurate measurement of the length of wire. I would also improve my Investigation by testing the same wire but with different widths of that wire. I would do this to expand on my Investigation.

This student written piece of work is one of many that can be found in our GCSE Electricity and Magnetism section.

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