Determine the dimension of magnetic permeability.
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Answer:
In SI units, permeability is measured in henries per metre (H⋅m−1 = J/(A2⋅m) = N⋅A−2). The auxiliary magnetic field H has dimensions current per unit length and is measured in units of amperes per metre (A⋅m−1). The product μH thus has dimensions inductance times current per unit area (H⋅A/m2).
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Explanation:
Magnetic Field = Force × [Charge × Velocity]-1. Or, B = [M1 L1 T-2] × [I1 T1]-1 × [L T-1]-1 = [M1 L0 T-2 I-1]. Therefore, Magnetic Field is dimensionally represented as [M1 T-2 I-1].
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