Calculation of bending effect on wire electrical resistance

**Problem Type:**

3D problem of DC conduction.

**Geometry:**

All dimensions are in millimeters.

**Given:**

Copper electric conductivity σ = 56e6 S/m.

Current *I* = 100 A.

**Problem:**

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 *j*_{n} = *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*.

**Results:**

Electric potential and current distribution in a wire:

Current terminal electric potential *V* = 0.00168 [V].

Resistance *R* = 0.00168 / 100 = 16.8 [uOhm].

See the *bent_copper_wire_resistance.pbm* problem in the Examples folder.