Resistance and Diameter

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 …

…material) · d = the diameter of the wire, · (d)² = the diameter squared, · OHMS/FT = the resistance value desired. · (or W = the resistance value desired) We know that the resistivity of the material is 800 ohms. Now to find the resistance values for various diameters. Diameter 1=.00082" or .82 mils. W = 800 ohms ÷ (.82 mils)², W = 800 ÷ .6724, Thus: W = 1189.7680 ohms/ft. Diameter 2=.0036" or 3.6 mils. W = 800 ohms ÷ (3.6 mils)², W = 800 ÷ 12.96, Thus: W = 61.7284 ohms/ft. Diameter 3=.0159" or 15.9 mils. W = 800 ohms ÷ (15.9 mils)², W = 800 ÷ 252.81, Thus: W = 3.1644 ohms/ft.