Experimental Goals . Experimentally measure the resistivity of nickel-chromium wires by exploiting the relationship between resistance, resistivity, and the geometry of resistive coils. Procedure . For each data table entry below, use the provided resistive coils to construct a resistor of the requested length or effective cross-sectional area. . Carefully chosen combinations of coils will provide the desired length/area in each case. Do not borrow coils from other lab stations. . Pay close attention to wire length, gauge, and material. Data Resistance vs. Length (R vs. L) Wire Length 0.4 0.8 1.2 1.6 2.4 2.8 L (m) 2.0 3.2 3.6 4.0 Measured Resistance 6.0 12.6 17.8 23.7 29.7 35.3 41.8 47.1 53.0 58.5 R (0) Resistance depends on the resistivity of the wire material, length of the wire, and cross- sectional area of the wire, as R = 24 If R and L are expected to be proportional, do your data actually show this? How can you verify?Resistance vs. 1/Area (R vs. 1/A) Wire Wire Diameter Effective Cross- Resistance Specifications (millimeters) Sectional area (meters?) 1/Area () () #26 NiCr at 0.457 mm 1.640 e-7 6.10 e6 13.0 2.0 m #30 NiCr at 0.315 7.793 e-8 1.28 e7 29.9 2.0 m 2 Parallel* #30 NiCr at Each is 0.315 1.559 e-7 6.42 e6 14.8 2.0 m each 3 Parallel* #30 NiCr at Each is 0.315 2.338 e-7 4.28 e6 9.90 2.0 m each "The effective cross-sectional area of the wire increases when multiple wires are placed side-by-side (in parallel). Resistance depends on the resistivity of the wire material, length of the wire, and cross- sectional area of the wire, as R = = If R and 1/A are expected to be proportional, do your data actually show this? How can you verify? Results Create two x-y scatterplot graphs, one using your Resistance vs. Length data, and the other using your Resistance vs. 1/Area data. . Insert your graphs.R VS. L Value Units Slope 14.571 Intercept 0.493 Resistivity R VS. 1/A Value Units Slope 2 E-6 Intercept 0.9963 Resistivity Sample Calculations Show a calculation of each of the quantities below using your own data in the space provided. Annotate your calculations and indicate the data you are using in your example. If necessary, you can insert a photograph of clear, well lit, properly oriented, handwritten work. 1. Resistivity p, calculated using the slope of the R vs. L graph. 2. Resistivity p, calculated using the slope of the R vs. 1/A graph