Worksheet: Electrical Conductivity and Resistivity
In this worksheet, we will practice calculating the electrical resistance of a material given its resistivity, cross-sectional area, and length.
Coils are often used in electric and electronic circuits. A particular coil is formed by winding 500 turns of insulated 30 gauge copper wire in a single layer on a cylindrical non-conducting core of radius 1.00 mm. The wire’s cross-sectional area is 0.0510 mm2, which includes the negligible area of the insulation. Find the resistance of the coil. Use a value of Ω⋅m for the resistivity of copper.
Consider two cables, one made of copper and one made of aluminum. Both are 15.00 m long, and the copper cable has a resistance of 0.035 Ω. In determining the electrical and mechanical properties of the cables, use a value of 8,960 kg/m3 for the density of copper and Ω⋅m for its resistivity. Use a value of 2,760 kg/m3 for the density of aluminum and Ω⋅m for its resistivity.
What is the weight of the copper cable?
What is the weight of the aluminum cable?
What is the resistance of the aluminum cable?