Discussion:Ohm's Law describes the relationship between the resistance (R) of a wire, the roltage drop across it (V), and currentthrough it (D):V = RI(1)Applying a known current to a wire and measuring the voltage across it will lt you determine the resistance of thewire by solving equation 1:R =,(2)The resistance of a partieular element depends on its geometry, the resistivity and the temperature. Resistivity is thetendency of the material to behave as a resistor and is an inherent property of a material, in the same sense that density orthermal expansion are inherent properties. Materials with lower resistivity, like copper, are good conductors of electricityand widely used in eireuit components while those with larger resistivity, like rubber, are used as insulators.For a wire with length (L), cross-sectional area (A), and made from a material with resistiity (p) the resistance (R)will be given by the following equation:R= L(3)In case that the geometry (length and cross sectional area) and the resistance of the wire is known, then is possible tocalculate the resistivity solving equation 3:RA(4)A wire can be consider as a long eylinder; then the cross sectional area would have a circular shape as shown inFigure 2.Cross SectionalArealLengthFigure 2Then the cross sectional area of the wire can be caleulated using the equation of the area of a cirele:A = mr?(5)In this experiment, you will measure V and I to determine R for various lengths of wire. You will then make a graphof Resistance (Y-axis) versus length (X-axis). The plot will result in a straight line that has a slope equal toslope =(6)From equation 6, it is possible to solve the resistivity in terms of the slope and the cross sectional area:p = elope • A(7)The manufacture values of the resistivity corresponding to the wires used in the experiment are reported in Table 1.These values will be used as the theoretical when caleulating percent error.Table 1. Theoretical resistivity of different materials according to manufacturer.MaterialBrassAttractedto MagnetDiameter (m)Resistivity (Qm)ColorYellowNo0.0005087.0 x100.0008130.0010160.0012700.001016CopperNichrome1.8 x10105 x10RedNoDark Gray NoDark Gray Yes0.001016Stainless0.00101679 x10Steel Data Sheet: E5a: Resistivity of Different MaterialsNAME:DATE:Table 1 - Resistance vs LengthDiameter of wire: 0.001292mCross Sectional Area of wire:,LengthVoltage(V)CurrentResistance(m)(A)( )0.2400.01471.102090.2200.01351.101500.2000.01261.101840.1800.01121.103420.1600.01001.104410.1400.00871.103260.1200.00731.100740.1000.00611.103030.0800.00511.101090.0600.00371.101460.0400.00291.103360.0200.00161.10379Slope of graph Resistance vs Length:Caleulated Resistivity from slope:_Theoretical Resistivity-Percent Error:

Answered: Image /qna-images/answer/e895f10b-2c4f-43eb-9c46-ae1e612a7880.jpg

Data Sheet: E5a: Resistivity of Different Materials NAME: DATE: Table 1 - Resistance vs Length Diameter of wire: 0.001292m Cross Sectional Area of wire: Length Voltage Current Resistance (m) (V) (A) 0.240 0.0147 1.10209 0.220 0.0135 1.10150 0.200 0.0126 1.10184 0.180 0.0112 1.10342 0.160 0.0100 1.10441 0.140 0.0087 1.10326 0.120 0.0073 1.10074 0.100 0.0061 1.10303 0.080 0.0051 1.10109 0.060 0.0037 1.10146 0.040 0.0029 1.10336 0.020 0.0016 1.10379 Slope of graph Resistance vs Length Caleulated Resistivity from slope_ Theoretical Resistivity Percent Error.

Data Sheet: E5a: Resistivity of Different Materials NAME: DATE: Table 1 - Resistance vs Length Diameter of wire: 0.001292m Cross Sectional Area of wire: Length Voltage Current Resistance (m) (V) (A) 0.240 0.0147 1.10209 0.220 0.0135 1.10150 0.200 0.0126 1.10184 0.180 0.0112 1.10342 0.160 0.0100 1.10441 0.140 0.0087 1.10326 0.120 0.0073 1.10074 0.100 0.0061 1.10303 0.080 0.0051 1.10109 0.060 0.0037 1.10146 0.040 0.0029 1.10336 0.020 0.0016 1.10379 Slope of graph Resistance vs Length Caleulated Resistivity from slope_ Theoretical Resistivity Percent Error.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter10: Direct-current Circuits

Section: Chapter Questions

Problem 69AP: Consider the circuit below. The battery has an emf of = 30.00 V and an internal resistance of r =...

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