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# Research - Does the Diameter of the Wire Affect Electrical Resistance?

Does the Diameter of the wire affect the Resistance Ohms law states that if the cross section of the wire is uniform then the resistance is proportional to the length and inversely proportional to the area of the cross section The diameter of the wire will have an affect on the resistance of a wire This is because the electrons have to squeeze together more to pass through a thin wire than they do to pass through a thick wire I can predict that the thinner the wire the higher the resistance will be If I had a piece of wire 1 mm in diameter and a piece of wire 2 mm in diameter how much would the resistance increase by Would the resistance double because the diameter has doubled Would it increase four times because the cross section has increased by four Or does it do something else r2 is how to calculate the area of the cross section 052 025 025 079cm2 Area of cross section of a 1mm wire 12 1 1 314cm2 Area of cross section of a 2mm wire I will need 5 x wires an ammeter a voltmeter 30cm of 32swg nichrome wire 30cm of 26swg nichrome wire 30cm of 22swg nichrome wire 2 crocodile clips and a power pack The diameters of the wires are 32swg 028mm 26swg 045mm 22swg 071mm The area of the cross section of each of these are 0142 00196 006cm2 32swg 02252 005 016cm2 26swg 03552 0126 039cm2 22swg To make this test fair I will keep the length of the wire the same and I will also keep the voltage the same I will do the same as I did before except this time I will be using different wires The Plan 1Collect apparatus A voltmeter an ammeter 5 x wires 2 crocodile clips 30cm 32swg nichrome wire

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