having a hard time with the percent error ### Analysis of Wire Resistance vs. Wire Length of Nichrome#### Graph OverviewThe provided graph illustrates the relationship between wire resistance (R) and wire length (L) for Nichrome wire. The title of the graph is "Wire resistance vs. Wire length of Nichrome," suggesting that the purpose of this graph is to analyze how resistance changes with alterations in wire length.1. **Axes**: - The **x-axis** represents the **Wire Length (L) in meters (m)**. - The **y-axis** represents the **Wire Resistance (R) in ohms (Ω)**. 2. **Data Representation**: - Data points are plotted at several lengths ranging from about 1.35 meters to 7.70 meters. - A linear fit line, described by the equation \(y = mx + b\), is fitted to these points, suggesting a direct relationship between wire length and resistance.3. **Linear Fit Parameters**: - **Slope (m)**: 0.3494, which indicates the rate at which resistance increases with wire length. - **Y-intercept (b)**: -0.03121, representing the resistance when the wire length approaches zero. - **Correlation Coefficient (r)**: 0.9944, indicating a very strong positive linear relationship between the variables. - **Root Mean Square Error (RMSE)**: 0.09889, quantifying the standard deviation of the residuals or prediction errors.#### Instructions for Analysis1. **Using Formula for Percent Error**: To assess the accuracy of your calculated resistivity values, you will need to compare them to the accepted values provided in the table below. The formula for percent error is: \[ \text{Percent Error} = \left(\frac{\left| \text{Experimental Value} - \text{Accepted Value} \right|}{\text{Accepted Value}}\right) \times 100\% \] This will help ascertain how close your experimental results are to the accepted resistivity values.2. **Lab Submission Requirements**: - Include all calculations and solutions, showing each step clearly. - Ensure that all values are presented with correct units and significant figures.#### Accepted Resistivity Values| **Metal** | **Resistivity (Ω·m)** ||------------|------------------------|| Nichrome | \(105 ### Example Data Table**Wire Type:** Nichrome **Wire Radius, r:** 0.10 mm = 0.0001 m = 0.1 * 10^-3 m **Cross-sectional Area, A:** \[ A = (\pi)(0.1 * 10^{-3})^2 = 3.14 * 10^{-8} \text{ m}^2 \]#### Table| **Run** | **Wire Length, L (m)** | **Wire Resistance, R (Ω)** ||---------|------------------------|-----------------------------|| 1 | 2.9 | 1.02 || 2 | 1.35 | 0.46 || 3 | 5.78 | 1.87 || 4 | 7.7 | 2.75 || 5 | 6.3 | 2.24 || 6 | 5.93 | 1.94 |In this table, various lengths of Nichrome wire are compared with their corresponding resistances. The relationship between the wire length (in meters) and the resistance (in ohms) is shown for six separate runs. Special attention should be given to the calculated cross-sectional area, which is a crucial factor in determining the wire’s resistance. The area is derived using the formula: \[ A = (\pi r^2) \] where \( r \) is the radius of the wire. This example illustrates how a consistent wire type and diameter can help understand how resistance scales with length.

The resistivity of a material is given by, ρ=RA/L Where, R is the resistance of a uniform…

Wire resistance vs. Wire lenght of Nichrome 2.5 2.0 LINEAR 1.5 X-range: 1.35 - 7.70 y = mx + b m: 0.3494 b: -0.03121 1.0 r:0.9944 RMSE: 0.09889 0. 2.0 3.0 4.0 5.0 6.0 7.0 Wire Length L (m) 9. Then use the formula for percent error to find out how close your calculated resistivity values are to the accepted values given below. Please include all your calculation work and solutions in your lab submission, with correct units and appropriate significant figures. Metal Resistivity (Q- m) Nichrome 105 x 10-8 Wire Resistance R fohm

Wire resistance vs. Wire lenght of Nichrome 2.5 2.0 LINEAR 1.5 X-range: 1.35 - 7.70 y = mx + b m: 0.3494 b: -0.03121 1.0 r:0.9944 RMSE: 0.09889 0. 2.0 3.0 4.0 5.0 6.0 7.0 Wire Length L (m) 9. Then use the formula for percent error to find out how close your calculated resistivity values are to the accepted values given below. Please include all your calculation work and solutions in your lab submission, with correct units and appropriate significant figures. Metal Resistivity (Q- m) Nichrome 105 x 10-8 Wire Resistance R fohm

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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