I have created a graph above that shows the relationship between the resistance of the lead wire and the different lengths of a nichrome wire. My graph is a straight line graph with the majority of points lying on the line of best fit. Using the points on the line I applied Ohm's law and used the formula R = V ÷ I to find the resistance (R) with the voltage (V) and current (I) found earlier in the experiment. I have come to the conclusion that as the length of the nichrome wire increases, the resistance of the conducting wire also increases. For example, when the cable length is 0.2 M the resistance is 1.3 Ω and then the cable length is 0.5 m, the resistance is 3.4 Ω. Say no to plagiarism. Get a tailor-made essay on "Why Violent Video Games Shouldn't Be Banned"? Get an original essayThe trend of the data can be concluded from the experiment is due to the fact that the longer the nichrome wire, the greater the resistance, assuming that the necessary variables are controlled and the method is followed accurately. This is supported by the evidence presented in the table and graph, for example we can see the increase and positive correlation between length and resistance when wire length increases from 0.2 to 0.3 and resistance from 1.3 at 2.3Ω. From the graph it is possible to derive a formula that can be used to further explain the relationship between the two variables and the trend of the data, which is 6.8*x + 0.1. In conclusion, I believe that the results I got from my graph further represent and show the relationship between the two variables and the trend formed by the data, the data points were on or near the straight line of best fit and those that did not touch or reach the line were consistent with the trend that the graph followed, and also showed no anomalous results. The range of lengths investigated was sufficient to draw a valid conclusion on how changing the length of the nichrome wire would affect the resistance. The best fitting gradient line from my other graph can be found via the "raise/run" formula which gives us an answer of 6.8. The gradient of the formula which can also be calculated via resistance/length is 6.8. To further investigate the reliability of our results we can use the information and insert it into the formula for resistance which is R = p(L/A), where R stands for resistance, I is the length, A is the cross-sectional area and P is the resistivity of the wire. Using the gradient we calculated, we note that R/L which equals 6.8 equals p/A. A is the cross-sectional area, which can be found to be 0.0000001642 m2 using SWG (with a gauge of 26). This shows that our resistivity p would be 0.00000111656Ωm. According to information researched online, the average resistivity of a nichrome wire is between 0.00000110Ωm and 0.00000150Ωm. By comparing the two resistivity results found, from the experiment and from the numbers online, we can further discuss how reliable our results are. We can see that the resistivity calculated from the experiment is within the range for the average resistivity of a nichrome wire, so we can analyze the results to make them reliable and further conclude that few/no errors were made. The data trend that can be seen in my graph is in agreement with the predictions made in my hypothesis. They were correctly related when I state that “I predict that the longer the wire, the greater the resistance will be due to the fact that the voltage is higher in a longer wire and the current remains the same. “ My graph for experiments shows the consistency of the expected graph in the hyptheiss showing the correlation..
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