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Parallel wires inductance

parallel wires inductance

Problem Type
Plain-parallel problem of magnetostatics.

Geometry
Parallel wires inductance Calculation of inductance and comparison of the result with analytical solution r I+ I- d Air

d = 500 mm, r = 4 mm.

Given
Current of the wires I = 1 A

Task
Parallel wires inductance
One can calculate inductance by the following analytical formula:
L = μ0 l/π·[ ln(d/r) + 1/4 ], where l - line length.

Solution
Length of the two wire line is considered to be l=1 m. Inductance is calculated by "Inductance wizard" using two methods: using magnetic flux linkage and using magnetic field energy.

Result
Magnetic flux density distribution.

parallel_wires_inductance

  QuickField (Theory)*
L, μH/m 2.028 2.031

*Reference: http://en.wikipedia.org/wiki/Inductance.

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