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Bent copper wire resistance

QuickField simulation example

Calculation of bending effect on wire electrical resistance.

Problem Type
3D problem of DC conduction.

Geometry
Bent copper wire resistance Calculation of bending effect on wire electrical resistance. Current Copper wire 30 mm Ø 10 mm R 5 mm

Given
Copper electric conductivity σ = 56 MS/m.
Current I = 100 A.

Task
Determine the resistance of the bent copper wire.

Solution
The resistance R is equal to the ratio of voltage drop V to the current I
R = V / I [Ohm]
We apply normal current density jn = I / A (where A is a wire cross-section area) at current terminal and zero potential at ground terminal. DC conduction simulation yields the current terminal electric potential V.

Result
Electric potential and current distribution in a wire:
Bent copper wire electric current simulation

Current terminal electric potential V = 0.00168 [V].
Resistance R = 0.00168 / 100 = 16.8 [uOhm].