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Derive dimensions of magnetic induction |
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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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