GCSE Physics Resistance of a Wire

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GCSE Physics Resistance of a Wire

Before starting my coursework I have decided to chose a factor that will affect the resistance of a wire.

I shall do this by going through all of the factors that affect the resistance of a wire and how I would

measuring each factor to find out which would be the most effective and easiest factor to measure.

Below is a list of factors and reasons why they affect the resistance of a wire. From this list of factors I

shall only pick one factor to investigate. To explain the how the factors would affect the resistance of a

wire I have drawn a diagram to show how resistance occurs.

WIRE

ATOMS=

ELECTRONS=

Resistance occurs when the electrons travelling along the wire collide with the atoms of the wire.

These collisions slow down the flow of electrons causing resistance. Resistance is a measure of how

hard it is to move the electrons through the wire.

Factors

.Temperature : If the wire is heated up the atoms in the wire will start to vibrate because of their

increase in energy. This causes more collisions between the electrons and the atoms as

the atoms are moving into the path of the electrons. This increase in collisions means that

there will be an increase in resistance.

2.Material : The type of material will affect the amount of free electrons which are able to flow through

the wire. The number of electrons depends on the amount of electrons in the outer energy

shell of the atoms , so if there are more or larger atoms then there must be more electrons

available. If the material has a high number of atoms there will be high number of electrons

causing a lower resistance because of the increase in the number of electrons. Also if the

atoms in the material are closely packed then the electrons will have more frequent collisions

and the resistance will increase.

3.Wire length : If the length of the wire is increased then the resistance will also increase as the

electrons will have a longer distance to travel and so more collisions will occur. Due to this

the length increase should be proportional to the resistance increase.

4.Wire width : If the wires width is increased the resistance will decrease. This is because of the

increase in the space for the electrons to travel through. Due to this increased space between

the atoms there should be less collisions.

To chose which factor I am going to investigate I am going to consider how I would measure each

factor and which factor would be the best and easiest to record.

To measure the wire width I would use different widths of the same length and same material of wire

e.g. thin , medium and thick copper wire with thin and thick constantin wire. To record the difference

in widths I would use the same voltage and measure the resistance for each thickness. Although it

would be easy to obtain and record the data the graphs that I would be able to draw up would not be

interesting.

For the temperature of the wire I would not be able to carry out a fair test because it is extremely

difficult to produce and control the range of temperatures needed without the correct equipment.

If I chose to measure the difference in the resistance in different materials I would chose a number of

different materials and using the same voltage I would record the resistance given by each wire of the

same length and width. Although once again it would be simple to record these results the graphs that

could be drawn would not show any connection between the material and the resistance because of the

limited number of materials I could test with the equipment available.

The final factor is the length of the wire. To measure and record the findings for this factor would be

simple and the results collected could show a connection between the length of the wire and the

resistance given by the wire. This is why I have chosen to investigate this factor.

Prediction

I predict that if the length increases then the resistance will also increase in proportion to the length. I

think this because the longer the wire the more atoms and so the more likely the electrons are going to

collide with the atoms. So if the length is doubled the resistance should also double. This is because if

the length is doubled the number of atoms will also double resulting in twice the number of

collisions slowing the electrons down and increasing the resistance. My graph should show that the

length is proportional to the resistance.

The diagrams below show my prediction and should explain it more clearly:

Because the length of the wire is only half the length of the wire below there should be half the number

of collisions between the electrons and the atoms.

The wire below is twice the length of the wire above and so there should be twice the number of atoms

resulting in twice as many collisions and a predicted doubling of the resistance.

Preliminary Method

In this preliminary experiment I will select a wire that will be used in my main experiment when

investing the connecting between the length of the wire and the resistance of the wire.

To ensure a fair test whilst carrying out my preliminary experiments I am going to be very careful

when selecting my independent variables which are the width of the wire and the wire material. I am

going to use a constant voltage of 2 volts and a constant length of 50 cm.

Apparatus: Meter ruler ¡V To measure the wire being tested to ensure a fair test.

Selection of wires ¡V Different materials and widths but the same length.

Crocodile clips ¡V To connect the wire being investigated to the rest of the circuit.

Voltmeter & Ammeter ¡V To measure the resistance.

Wires ¡V To connect the above items and to complete the circuit.

To measure the resistance of the wire I am going to use the equation RESISTANCE=VOLTS

CURRENT I will obtain the voltage and current readings from the voltmeter and ammeter.

Below is a circuit diagram for my preliminary experiment.

POWER SUPPLY

2 VOLTS

AMMETER

VOLTMETER

CROCODILE CLIPS

WIRE

METER RULER

To ensure a fair test I shall keep the power supply at 2 volts and I shall keep the length of the wire at 50

cm.

Preliminary Results

Below is a table of results which I have collected from my preliminary experiment.

WIRE VOLTS (v) AMPS (A) RESISTANCE (Ohms)

THICK COPPER 0.3 5.13 0.06

MEDIUM COPPER 0.6 4.20 0.14

THIN COPPER 0.9 3.13 0.29

STEEL 0.7 1.20 0.58

MEDIUM CONSTANTIN 1.0 0.41 2.44

THIN CONSTANTIN 2.7 0.49 5.51

From these results I have chosen to use thin constantin for the wire I am going to use in my main

experiment. I have chosen this wire as it has the highest resistance and so it will be easier to notice any

difference in resistance in my main experiment

Main Method

Before I start my main experiment I have chosen to do a risk assessment which is shown below.

Risk Assessment:

"h I will handle the power supply carefully.

"h I am going to only use a voltage of 2 volts.

"h I will be careful when handling live wires.

Apparatus: Power Supply

Ammeter

Voltmeter

Thin Constantin wire

Meter Ruler

Crocodile Clips

Connecting Wires

I have chosen to use thin constantin wire because from my preliminary results I found that this wire had the highest resistance, because it has the highest resistance it will be easier to measure any change in resistance.

To collect the data for my graph I have chosen to take a range of 5 lengths. I have chosen a range of 5

as to plot an accurate graph I will need at least 5 points to mark on the graph . I have also chosen to

take 3 repeats at each length and then take an average. I have chosen this so that if I have any

anomalous results they will not show when I plot the averages on the graph. The lengths that I have

chosen are as follows : 20cm , 40cm , 60cm , 80cm and 100cm. I have chosen these lengths because

they are easily measured by the meter ruler and give a good range.

Below is a circuit diagram of the circuit I am going to use in my main experiment:

POWER SUPPLY

2 VOLTS

AMMETER

VOLTMETER

CROCODILE CLIPS

WIRE

METER RULER

In my main experiment instead of using an ohmmeter I have chosen to use an ammeter and voltmeter ,

I have done this so that instead of relying on the ohmmeter to give the resistance I will calculate the

resistance of the wire , I shall calculate the resistance of the wire using the equation below.

RESISTANCE = VOLTS

AMPS

I have chosen to use a meter ruler because the lengths that I will be measuring are to big for a smaller

ruler and also the meter ruler can be accurate to +1mm or ¡V1mm.

Results

Below is a results table with the results that I collected from my main experiment.

LENGTH 200 mm 400 mm 600 mm 800 mm 1000 mm

VOLTS (v) 1.6 1.5 1.6 1.7 1.7 1.7 1.8 1.8 1.8 1.9

.8 1.8 1.9 1.9

.9

AMPS (I) 0.608 0.609 0.607 0.351 0.352 0.351 0.237 0.238 0.238 0.184 0.184 0.184 0.148 0.149 0.149

RESISTANCE

(Ohms) 2.6 2.5 2.6 4.8 4.8 4.8 7.6 7.6 7.6 10.3 9.8 9.8 12.8 12.8 12.8

AVERAGE

RESISTANCE

(Ohms)

2.6

4.8

7.6

0.0

2.8

From these results I have drawn a graph of the length of the wire and the resistance of the wire.

Analysis

From the graph on the previous page I can see that the resistance of the wire is proportional to the

length of the wire. I know this because the Line of Best Fit is a straight line showing that if the length of the wire is increased then the resistance of the wire will also increase.

Conclusion

In my prediction I said that :

¡§¡K.if the length increases than the resistance will also increase in proportion to the length.¡¨

From my graph I have shown that my prediction was correct, as the Line of Best Fit is a straight line proving that the resistance of the wire is proportional to the length of the wire.

The length of the wire affects the resistance of the wire because the number of atoms in the wire increases or decreases as the length of the wire increases or decreases in proportion.

The resistance of a wire depends on the number of collisions the electrons have with the atoms of the material , so if there is a larger number of atoms there will be a larger number of collisions which will increase the resistance of the wire. If a length of a wire contains a certain number of atoms when that length is increased the number of atoms will also increase. This is shown in my diagrams below:

Electron

Atom

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.

During my experiment I have noticed several modifications I could make to improve on the Investigation if I was to repeat it.

The first of these modifications would be the circuit that I would use. To be more accurate with my results I would use the circuit layout below:

POWER SUPPLY

2 VOLTS

AMMETER

VOLTMETER

WIRE

METRE RULER

Instead of connecting the voltmeter to the main circuit I would connect it to the wire which is being tested. I would do this so that the voltmeter is measuring the voltage of just the wire being tested and not the wires of the main circuit as well.

To also improve on my results I would use a digital voltmeter instead of an analogue meter. I would do this because a digital voltmeter is a lot more accurate than an analogue because if the needle in the analogue voltmeter is bent then the readings given off will be false whereas a digital voltmeter does not rely on a needle or any other manual movements.

The next modification I would make would be to 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.

As well as making these modifications I would also improve my Investigation by testing the same wire but different widths of that wire. I would do this to expand on my Investigation.

An investigation to find how mass and force effect acceleration

Method

In this experiment I aim to find out how the force and mass affect acceleration. I shall do this by setting up an experiment involving a ticker tape timer and trolley, to keep the experiment as fair as possible I will only change one variable at a time. For the first part I will only vary the force (see fig. 1) in difference weights of 1N, 2N, 3N and 4N. In order to keep the friction acting on the trolley constant I will make the ramp which the trolley is on at the exact angle so it would keep moving at constant speed if I pushed it, this simulates no friction. Also I will keep the mass of the trolley constant by weighing it on a top pan balance. Finally the ticker timer was kept at constant time intervals.

Aswell as varying the force I decided to vary the mass of the trolley in masses of an extra; 100g, 200g, 300g and 400g. However as in the first part I have to keep the other variables constant, the force pulling on the trolley must stay at 1N and in the same way as before also the friction and time intervals. Another thing that I would usually take into consideration is that the experiment should be repeated to give better results, however this is not important because the ticker timer and trolley give very accurate results.

After setting up the apparatus to give fair results I will carry out four sets of ticker timers for the force and then for the mass of the trolley. These will then give me a series of ticker tape charts which I will be able to transfer onto an acceleration against force graph and acceleration against mass graph.

Prediction

I predict that the force will be proportional to the acceleration and so will also the mass will be proportional to the acceleration. However not in the same way, as the force increases the acceleration will increase but as the mass increases the acceleration will decrease.

Planning

Safety: There are a few safety precautions that we need to take, such as making sure that the weights, when they came down, do not hit anyone who may be passing, or on our own feet. Another precaution is making sure that the weights on the trolley are securely placed, or fastened, to the trolley, so that they do not come off from the trolley and cause injury.

Equipment: I will need a special ramp with elastic at one end, books to put under the ramp to get elevation, but the elevation must be so that it is a friction/gravity compensated. A trolley, a ticker timer and tape. String to tie the falling weights to the trolley. Weights with 100g masses on, and also masses of 1kg for the trolley.

Fair test: Making sure that the tests are fair is quite a major factor in our experiment, because we have to keep all the experiments the same i.e the method in which we do it has to keep the same.

Predictions: I predict that the more kilograms that are put on the trolley, the slower the trolley will go down the ramp.

Procedure: When the equipment is set out as above then we will tread some ticker tape through the ticker timer and Cellotape the end to the trolley. I will put the trolley at its starting position (at the start of the ramp) and then when I am ready I will start the ticker timer and start the trolley down the ramp, and when it reaches the end I will stop the ticker timer.

I have decided to take measurements of 2 newtons pulling the trolley down (which will always stay the same) and then change the different weights on the trolley itself, from nothing up to 4 kilograms, which include 1kg, 2kg, 3kg and 4kg. So in all I will do 5 experiments and therefore have 5 different graphs.

We have not really done any previous experiments like this one apart from in the FY we did some experiments like these using the ticker timers and tape, and so before I started I knew roughly what was to be expected.

Evaluating Evidence

I think that the procedure which I used was the best that I could have done, partly because the results I got were very good. On looking at my results I can tell that they are quite good because the line of best fit goes roughly through the top of all the results. Also the acceleration of the trolley became less the more weight was put on.

The method that I used was quite a reliable one and there were not very many problems that occurred from carrying out the experiment, the only slight improvement that I would do, which may not actually affect my results very much would be if, as I did, you took the readings in two different lessons and then used two different trolleys, the trolleys may run differently and so the readings will be different, but as I said it may not affect the graphs too much.

But apart from that the method that I used was completely successful.

From looking at my results I can see that the graph where there is 1 kilo gram

on the trolley the last piece of ticker tape is out of place because the other pieces of tape match up roughly to the line of best fit whereas the last one is equal to the previous piece of tape before that. This could have been caused by a number of things such as something may have very slightly obstructed the trolley on its way down the ramp, or perhaps the trolley got up to a constant speed and so would go no faster. Or possibly it was just a freak reading. If I was allowed to repeat any experiments again then I would definitely repeat this experiment, to get a full set of correct results. When I was working out the acceleration, for that experiment I did not include this piece of tape and so I only divided the number I got by seven rather than eight. I think that this was a good idea because is meant that my results kept almost perfect and it did not affect the acceleration at all.

My prediction was completely correct because I said that the more weight that was put on the slower the trolley would go, and I have enough evidence to confirm that my prediction was correct.

Analysing evidence and conclusion

We can conclude that the more weights that are put on the slower the trolley goes down the ramp. The reason for this statement to be true is because the more weight that is put on the trolley the more downwards force is exerted on the trolley, and the force is greater than gravity and so it goes slower down the ramp than it would do if I had no weights on it. It also causes more friction between the ramp and the wheels of the trolley and so therefore goes even slower down the ramp. My results compare very well with my predictions because I said that the more weights that were put on the trolley the slower it would go and as my results showed I was correct.
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Physics

Investigation into the stopping distance of a toy car

Planning

Aim

My aim is to set-up and carry out an experiment to investigate the stopping distance of a toy when the speed of the car is varied.

Factors which will effect the stopping distance of the toy car.

) The mass of the car will effect the stopping distance of the car due to the effects of friction that will increase as the mass of the car increases. Therefore the stopping distance of the car will shorten as ...

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