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Question

Dimensional formula for permeability

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Solution

μ = B/H

Permeability is generally denoted by ‘mue' . Talking about its dimensional formula first we should know that it is equal to ratio of intensity of magnetic field ( simply magnetic field ) to magnetising field ( i.e. the degree to which a magnetic field can magnetise a material ) .

Mue = intensity of magnetic field (B)/Intensity of magnetising field (H)

As we know , unit of intensity of magnetic field is Tesla or Newton per Ampere metre (N/Am)

And unit of magnetising field is Ampere per metre (A / m).

So we can find by above formula that permeability has unit Newton per Ampere square

Mue = Newton / Ampere square

Or mue = N/ A ²

By calculating their dimensions we will get the dimension of permeability to be

[M L T ^ -2 A ^ -2].


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