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We know that magnetic field due to a wire is
B=µI/2πr
⇒B/µ=I/2πr
⇒B²/µ² =I²/4π²r²
⇒B²/µ =µI²/4π²r²
⇒dimension of B²/µ = dimension of µI²/4π²r²
⇒dimension of B²/µ = [MLT^-2A^-2][A²] / [L²]
⇒dimension of B²/µ =[ML^-1T^-2]
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