Question

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

• A. $(B-M)=\mu_{0} H$
• B. $M=\mu_{0}(H+M)$
• C. $H=\mu_{0}(H+M)$
• D. $B=\mu_{0}(H+M)$

Answer 1

Answer: (D)

$B=\mu_{0}(H+M)$

Answer 2

When a magnetic material is placed in a magnetic field, the magnetic material gets more magnetised. Hence, the net magnetic field is given by, $B =B_{0}+B_{m}=\mu_{0} H+\mu_{0} M$ $=\mu_{0}(H+M)$