Relative permeability, Electrical Engineering

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The force between two wires 1 metre apart and each carrying 1 amp is 2 x 10-7 Newtons when in a vacuum (or in practice, air).However, it is found experimentally that the force is different if the wires are embedded in other materialsConsequently it is necessary to introduce a further parameter, known as the 'relative permeability', µr, so that the force on a wire of length l is:

226_relative permeability.png

Where µo = 4µ x 10-7 Henrys/metre and µris a constant for a given material known as the relative permeability. It takes account of the effect that the medium has on the forceNote that the relative permeability is a dimensionless quantity that can be greater or less than unity.


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