Noor Ahmed 10 C Science Mr. Hennard 5/10/11 Lab Write Up: How the length of a wire affects its Resistance Research Question: How does the length of nichrome wire effect the over all resistance of a circuit? Hypothesis: This experiment will be discussing how the length of a piece of nichrome wire affects the overall resistance of a circuit. The hypothesis for this experiment is this: as the length of the nichrome wire shortens the amount of resistance will also decrease. My reasoning for this hypothesis is that the amount of resistance in a wire increases with a wire of longer length due to the fact that there becomes a larger distance for the electrons to travel through, inevitably causing more collisions therefore slowing the flow of electrons creating higher resistance. Background information: Dictionary definition of resistance: A measure of an object's reluctance to allow charge to pass through it. A piece of wire observably is created from and contains atoms. Upon closer investigation, it is plain to see that the longer a piece of wire is the more atoms there will be enclosed. When a circuit is connected to a battery source, which sends charge through the path there is always the reluctance of the mediums sending charge through it. The longer a wire attached to a circuit may be the higher the level of resistance will be. The logic behind this is the fact that the electrons charging through the wire will face more atom collisions in a longer wire, because there will be more atoms to potentially bump into. In the same way a shorter piece of wire will carry a fewer number of potential collisions because it is made up of fewer atoms. Apparatus: 1. 2. 3. 4. 5. 6. 7. 8. Voltmeter Ammeter 105cm Nichrome wire 1 Meter Stick 2 5 cm. pieces of Scotch Tape 5 Leads 1 Battery Source 2 Crocodile Clips Diagram: Variables: Type of Variable Variable Independent Length of nichrome wire Dependent Control Amount of resistance in the circuit 1. The same Meter stick 2. Type of wire 3. Thickness of the wire 4. Leads/# of leads 5. Battery 6. Temperature of the wire 7. Temperature of the room 8. Crocodile clips/# of crocodile clips How the Variable is Manipulated, Measured or Controlled The nichrome wire will be cut to 105 centimeters, and used for each trial and each measurement throughout the entire experiment. The change (or difference) in resistance is essentially the base of what we are researching. This will inevitably change as the length of the wire gains/shrinks, in length. 1. In this experiment we will be using the same meter stick just to make sure we do not change anything unneeded. 2. The type of wire is imperative to maintain, because the resistance of a wire changes with its type. We also maintained this because if there were any imperfections in the wire it would affect all data and not just one set. 3. The thickness of the wire will automatically be the same with the type of wire. We are not gathering any information about the relation with wire thickness; if we changed the thickness it would only obscure any data we collect. 4. The number of leads we used was 5. We used the same 5 reliable leads throughout the experiment. 5. The battery should be the same every time you take down information because the amount of energy it is sending should be the same, every time. 6. The temperature of the wire can change the resistance so it is important that it remains the same. 7. The conditions that you do you’re experiment should always be the same since slight changes can make a large difference. 8. We used the same 2 reliable crocodile clips. Each of these variables is essentially being controlled in order to have a proper a lab that we can gain legitimate information from. No variable is more important than another in insuring that we have a fair test. It is imperative that one maintains each of the variables in order to maximize the validity of the data. Fair Testing: All of the control variables and use of apparatus allow us to maintain the stability of the experiment to the greatest extent possible. This makes for a fair test because you know that all of the data has been collected under the same terms. All of the variables besides the independent and dependent need to remain the same because if they are not then you have not conducted reliable information. Method This is where I will describe the steps needed in order to carry out this experiment 1. Start out by collecting all of the listed apparatus needed to carry out the experiment. 2. Draw a table resembling the one below (A as in amps, V as in Volts, and R as in Resistance): Wire Length Trial 1 A V R Trial 2 A V R Trial 3 A 1 meter 75 cm. 50 cm. 25 cm. 10 cm. 3. Cut a 105-cm. piece of Nichrome wire and extend it across the meter stick. Tape the ends the ends to the ends of the meter stick using one piece of the 5 cm. cut tape on each end. V R 4. Assemble the circuit as shown in the diagram, using the 5 leads, voltmeter, ammeter, battery source, and nichrome wire strung meter stick. 5. Start completing your first trial for the first measurement by connecting the extended leads to measure 1 meter of wire. 6. Turn the battery on to the lowest level. 7. Take down the information given for the amps and voltage. 8. Turn of the battery source and calculate the resistance for the first trial. 9. Turn the battery on again once having calculated the resistance and take down the second trial of information for amps and voltage. 10. Repeat steps 8 and 9 for the third trial. 11. Once having completed the first interval of data move the leads (crocodile clips) to fit the length of the next (75cm). 12. Repeat steps 5-9 to take down the data same as you did for the first interval. 13. Continue moving the leads every time you finish an interval of data, and repeat steps 5-9 to take down the data. 14. Make sure you right down all of your results in the data table. Data Collection: Wire Length 1 meter 75 cm. 50 cm. 25 cm. 10 cm. Trial 1 A 0.11 0.14 0.19 0.37 0.87 V R 1.78 1.79 1.76 1.68 1.59 16.18 12.78 9.26 4.54 1.83 Trial 2 A V 0.12 0.15 0.18 0.38 0.88 1.80 1.79 1.78 1.67 1.60 Data Analysis: Resistance = Voltage/Amps (for every trial of ever value) Data Presentation: Attached R 15 11.93 9.8 4.39 1.81 Trial 3 A 0.11 0.14 0.17 0.37 0.88 V R 1.82 1.81 1.76 1.68 1.59 16.54 12.93 10.35 4.54 1.80 Conclusion: The data present on the attached graph illustrates a reasonably reliable set of data. Overall the line of best fit matches the data, laying against the line in a fairly even manner. However there are two apparent odd bits of information. Trial two of the first (1meter) test and trial three of the third (50 cm.) test seem to be the outliers of the data. One could argue that these to point are relatively close to the lines, and that could be so but in relation to the other trials of data they are out of the range, more distant to the line and the other points. Overall however, the pattern of the data matches hypothesis, being that as the wire shortens the resistance will also decrease. It was interesting to see how large the difference was between 1 meter and 10 cm; the slope of resistance was worthy of note because I initially thought perhaps it would have been a smaller difference, between each interval. As a whole this has been a very successful experiment that needs few implements to improve it for a second time. Evaluation: The experiment conducted consisted of positive and negatives that created the final outcome. Inevitably small things didn’t go as planned, and there were things that could have been improved, however I think on the whole the data was reliable. The reason I feel this way is because although there we slight in accuracies the data in general came out the way we wanted it to, and as a group we learned more about the resistance in nichrome wire. I believe that all of the instruments we used to conduct the experiment did their job properly and for this experiment that was sufficient. Things that were subjectively off were the way that we did the trials and the intervals that we tested. First off, every trial that we took we took by turning on and off the battery and checking the reading another time. The reason this was a problem was that it should have been the same every time, and ended up not working that way and we took down varying results. We also planned on measuring 5 cm. instead of 10 cm. as our last value but the wire at that point was overheated and melted the tape surrounding it so we decided on doing 10cm. instead. In the future it would probably be best to tart with the smaller values and work our way up as opposed to the opposite. Improvements to the Method: Weakness (Issue with method) Collecting Larger Values First Suggested Improvement to Method If I was to go back and re-do the experiment the first thing I would improve would be to start with the lowest value on the table. When doing the experiment the first time, the nichrome wire overheated at 5cm., began to steam and melted the tape surrounding it. Therefore we were not able to take down 3 trials of 5cm. and instead changed it to 10cm. In order to get the best results going back I would probably start with the lowest interval because it will not have had the time to overheat and Battery Level inevitably burn when it comes time to take down the data. Perhaps a change that could improve the experiment would be to change the level at witch we tested our values. We kept the battery on the lowest level and in the future it might make an interesting experiment to test how drastically the change in charge can have an effect on the resistance of the wire. It could possibly make for a more accurate set of data, due to the fact that you wouldn’t just be turning the experiment on and off.