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# See if there is a relationship between resistance and length for Nickel-chrome wire of a diameter 0.19mm.

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Introduction

Plan

Alessandro Bizzarri

## Aims of Experiment

The aim of this experiment is to see if there is a relationship between resistance and length for Nickel-chrome wire of a diameter 0.19mm.By measuring the  voltage and current  I plan to calculate the resistance of the wire at various lengths. R=V/I is then used to calculate resistance.  R=Pl/A is then used in the form of a Y=mx+c (where R=y , P/A=m, 1=x and c is 0.)

## Apparatus

### Accuracy/Range

Ammeter

0-100mA   (±1mA)

Voltmeter

0-5v  (±0.01V)

Wire with crocodile clips

Battery (×2)

3.0V

Micrometer

0-25mm  (±0.01mm)

Meter rule

0-100cm  (±0.1cm)

Nickel-chrome wire

1-2m

Cellotape

Method

I shall construct a circuit which includes an ammeter, voltmeter, battery’s and the wire chosen for experimentation. It would be setup like the following diagram.

I plan to test a 1m piece of the wire at 10 cm intervals between 100-10 cm. By measuring the voltage across the wire and current through it every 10 cm I should get enough data to make a valid conclusion and find out the resistance at each length. I will cello tape down the ends of the meter wire to the wooden meter rule to make it easier to take readings.

Middle

2.51

70

2.41

70

80.0

2.23

70

2.20

70

70.0

1.94

70

1.92

70

60.0

1.67

70

1.65

70

50.0

1.38

70

1.37

70

40.0

1.11

70

1.10

70

30.0

0.82

70

0.82

70

20.0

0.54

70

0.54

70

10.0

0.27

70

0.27

70

## Averages

 Voltage (V) Current (mA) Resistance (Ω) 2.82 70 40.2 2.46 70 35.1 2.21 70 31.6 1.93 70 27.5 1.66 70 23.7 1.37 70 19.6 1.10 70 15.7 0.82 70 11.7 0.54 70 7.7 0.27 70 3.9

## Measurements of diameter of wire at 20 cm intervals

 Point measured at (cm) Diameter measured (mm) Final data (allowing for end error) 00 0.151 0.191 20 0.150 0.190 40 0.150 0.190 60 0.150 0.190 80 0.151 0.191 100 0.150 0.190

I then checked the end error of the micrometer was +0.04mm leaving me with the

final data

Conclusion

## Improvements

Many of improvements could be put in place if I was to redo this experiment. I would buy a wire, which has the same diameter all the way through. I could also find an improvement to the crocodile clips. Instead of the clips I could use a jockey key. The length of wire which I would be collecting data for would be a lot accurate as jockeykey comes into contact with the wire over a small distance compared to the crocodile clips.

## Further work

A possible source for further work is analysing the effect of the cross sectional area of the wire with resistance. Using the equation R=pl/A in the form of Y=mx+c. Plotting R against l/A again I could predict another straight line and the resitivity would be found. This would be the same for nickel Chrome. I could also see if the equations Rl and Rl/A are true for other types of wire.

## Bibliography

• ‘Physics’ by Tom Duncan

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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