Question

For an isotropic medium B, H and I are related as (where B, $ {{\mu }_{0}} $ H and I have usual meaning in the context of magnetic material):

• A. B= $ {{\mu }_{0}} $ (H + I)
• B. H= $ {{\mu }_{0}} $ (B + I)
• C. I = $ {{\mu }_{0}} $ (B + H)
• D. (B - I) = $ {{\mu }_{0}} $ H

Answer 1

Answer: (A)

Relation between magnetic field permeability, H and $ I. $ The magnetic induction in the material is $ B=\mu H $ ?(i) Also, $ B={{B}_{0}}+{{B}_{m}} $ Where $ {{B}_{0}}= $ magnetic induction in vacuum produced by magnetic field $ {{B}_{m}}= $ magnetic induction due to magnetisation of material But, $ {{B}_{0}}={{\mu }_{0}}H $ and $ {{B}_{m}}={{\mu }_{0}}I $ So, $ B={{\mu }_{0}}H+{{\mu }_{0}}I={{\mu }_{0}}(H+I) $