Two insulated copper wires of similar overall diameter have very different interiors.
One wire possesses a solid core of copper with a circular cross-section of radius 1.53 mm. The other wire is composed of 19 strands of thin copper wire bundled together. Each strand has a circular cross-section of radius 0.306 mm. The current density in each wire is the same, J = 3750 A/m².
How much current does each wire carry?
solid wire current:
stranded wire current:
The resistivity of copper is ρ = 1.69 x 10⁻⁸ Ω·m. What is the resistance of a 4.00 m length of each wire?
solid wire resistance:
stranded wire resistance: