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you are given 5 wires made from the same material and asked todetermine the resi

ID: 1757914 • Letter: Y

Question

you are given 5 wires made from the same material and asked todetermine the resistivity of the material. Each wire has alenght L of 10cm. The diameter d of each wire is different. Theresistance and diameter of each piece of wire are measured andrecorded. The results are shown below. A)Show that the relationship between the R and diameter d isgiven by R=(4L)/( d2) R(ohms) 0.86 0.72 0.59 0.37 0.10 d (cm) 0.010 0.015 0.020 0.025 0.030 you are given 5 wires made from the same material and asked todetermine the resistivity of the material. Each wire has alenght L of 10cm. The diameter d of each wire is different. Theresistance and diameter of each piece of wire are measured andrecorded. The results are shown below. A)Show that the relationship between the R and diameter d isgiven by R=(4L)/( d2) R(ohms) 0.86 0.72 0.59 0.37 0.10 d (cm) 0.010 0.015 0.020 0.025 0.030 R(ohms) 0.86 0.72 0.59 0.37 0.10 d (cm) 0.010 0.015 0.020 0.025 0.030

Explanation / Answer

resititivity = = RA/L when R = 0.86 L = 10m diameter = 0.010 so area = A = (d/2)2 = 3.14 *(0.000025)= 0.0000785 = 0.86*0.0000785/10 = 0.000006751cm simillarly you plug R and d values find values     R = L/A       =L/(d/2)2      = 4L/d2