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# The effect of varying the thickness of a wire on the resistance of the wire

Extracts from this document...

Introduction

To find the effect of varying the thickness of a wire on the resistance of the wire

Introduction

In this experiment I will investigate the resistance of wires.

Electrons pass easily through copper connecting wire. They don’t pass so easily through the tiny coiled wire in a light bulb or the wire used in an electric fire element. These wires have more resistance it is this resistance that creates the heat / light. Some things have a high resistance, to passing electricity through them, and others have a low resistance. The wire used in electric fire elements is made of a nickel chromium alloy called nichrome. Energy is needed to push electrons through the nichrome wire; the wire has resistance. The resistance of any object is fixed but it is difficult to measure directly. To find the resistance of an object you have to measure the current flowing through it. The resistance of an object depends on is length, thickness and material.

• A long piece has more resistance than a short piece,
• A thin piece has more resistance than a thick piece,
• A hot piece has more resistance than a cold piece,
• A piece of nichrome wire has more resistance than a same size piece of copper wire because nichrome wire is a poorer conductor.

Resistors are devices specially made to provide resistance. They also give off heat when a current passes through it, but this isn’t their job. In some circuits, they are used to reduce the current. In TV or radio circuits, they keep currents and voltages at the levels needed to make other parts work properly. There are different types of resistors a few are listed below.

• Variable resistors
• Rotary resistors
• Slide resistors

Variable resistors

Variable resistors are used to control the strength of an electric current. They are needed in Hifi’s and radio’s to control the volume. Variable resistors are made in two ways.

Slide resistors

These consist of a coil of resistive wire with a sliding contact that can be moved along the wire. If the sliding contact is moved to the right, the current has to flow through a greater length of resistance wire. This increases the resistance and reduces the current. By moving the contact you can change the resistance.

Rotary resistors

The coil of resistance wire is bent round into a circle. The slide is replaced with a brass arm that touches the top of the coil. The arm is rotated clockwise to increase the resistance.

Measuring resistance (Ohm’s law)

Resistance is measured in ohms. A resistor has a resistance of one ohm (1) if a voltage of one volt across it will push a current of one ampere through it.

The more resistance that a resistor has, the more volts are needed to push each ampere through. If the voltages across a resistor and current through it have both been measured, the resistance (R ohms) can be calculated using this equation:

V        where V is voltage (volts)

R =

I        I is currents (amperes)

This equations can also be used to calculate a voltage or current if the value of the

Resistance is already known.

V

I × R

In this experiment I’m going to try and find out the relationship between the diameter of the wire and resistance. I will be using three pieces of nichrome wire which are all different thickness.

My Hypothesis

I think the wire with the least diameter will have the most resistance because a thin piece of wire has more resistance than a thick piece.

Method

In this experiment I will be trying to find out the relationship between the diameter of the wire and resistance. I will set up the circuit like the diagram on the following page. I used a metre rule to measure the wire to 40cms I then cut it using wire cutters and wrapped it round a test tube to ensure it doesn’t catch on anything and affect my readings, I will ensure that the slider of the rheostat is at one end, with four cells in the holder. First of all I will have the wire connecting to the positive side to the battery. I will record the voltage (V) and current (I) respectively. I will move the slider about one tenth of the way along the rheostat, I will measure this using a ruler. I will record the new readings. I will then repeat this process again ten times. After that I will disconnect the battery and reconnect in reverse so that the negative end of the battery is connected to the rheostat. The meters should now give me negative readings. I will repeat the process as before and move the slider one tenth and record my readings. I will be doing this process for all the three wires.

Equipment

For this experiment I will need:

• Metre rule
• Wire cutters
• Rheostat
• 10A ammeter
• 20V voltmeter
• 4 1.5V cells
• Wires / clips
• Test tube
• Sellotape
• (40cm) Nichrome 28SWG, 32SWG, 36SWG.

Diagram

Safety

• When working with chemicals or other harmful substances every one must wear protective clothing e.g. lab coats.
• Also everyone must wear safety goggles in the lab during practical to eliminate a risk to the eyes.
•  If you have long hair ensure it’s tied back securely to avoid catching on the equipment.
• The floor must be kept clear for easy access in the lab so keep bags and coats stored in the appropriate places provided.

Middle

PositiveNegative
 Voltmeter Ammeter -3.65 v -1.17 I -3.19 v -1.03 I -2.12 v -0.69 I -1.59 v -0.52 I -1.29 v -0.42 I -1.07 v -0.35 I -0.94 v -0.30 I -0.82 v -0.27 I -0.75 v -0.25 I -0.72 v -0.23 I
 Voltmeter Ammeter 3.67v 1.15I 3.54 v 1.10 I 2.35 v 0.72 I 1.80 v 0.55 I 1.40 v 0.44 I 1.18 v 0.36 I 1.00 v 0.30 I 0.85 v 0.27 I 0.79 v 0.24 I 0.75 v 0.23 I

Nichrome 32 SWG

PositiveNegative

 Voltmeter Ammeter 4.44 v 0.72 I 4.29 v 0.70 I 3.24 v 0.53 I 2.58 v 0.42

Conclusion

>

Voltmeter

Ammeter

-4.44 v

-0.73 I

-4.05 v

-0.66 I

-3.07 v

-0.51 I

-2.47 v

-0.41 I

-2.08 v

-0.34 I

-1.80 v

-0.29 I

-1.57 v

-0.25 I

-1.42 v

-0.23 I

-1.30 v

-0.20 I

-1.28 v

-0.20 I

Nichrome 36 SWG

PositiveNegative

 Voltmeter Ammeter -4.84 v -0.39 I -4.84 v -0.39 I -4.13 v -0.32 I -3.59 v -0.29 I -3.21 v -0.25 I -2.78 v -0.24 I -2.51 v -0.23 I -2.28 v -0.21 I -2.09 v -0.19 I -1.96 v -0.17 I
 Voltmeter Ammeter 4.70 v 0.49 I 4.49 v 0.46 I 3.72 v 0.35 I 3.20 v 0.30 I 2.90 v 0.27 I 2.64 v 0.23 I 2.36 v 0.21 I 2.16 v 0.19  I 2.09 v 0.17  I 1.95 v 0.15  I

Analysis

During this experiment I have found out that the thinner the wire the more resistance. Looking at my results I can see that the two thin pieces of wire have more resistance than the thick wire.

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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