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Derive dimensions of magnetic induction

Answer»

the formula  for a force acting on a CURRENT carrying conductor.              B = magnetic induction = magnetic field strength. Force =  B I L      IE.,  current = I    length  = L  force = newtons.                           let dimensions of current be [ A ]  M L T⁻² =  B  A  L  B = [ M T⁻² A⁻¹ ] =========================we have the formula for magnetic field strength at a POINT d distance AWAY from a current carrying conductor  as :     B = μ₀ I / (2 π d)        this is found by Ampere's circuital law.        μ₀ =  Newtons/Ampere²      B = M L T⁻²  A⁻²   * A  L⁻¹ dimensions      = M T⁻² A⁻¹ units         =  Tesla  or  kg / sec²-Amp        or  Newtons/Amp-meter



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