question_answer 41)

  Verify the Gauss's law for magnetic field of a point dipole of dipole moment at the origin for the surface which is a sphere of radius R.

Answer:

                    According to Gauss's law in magnetism, To explain it as per question, refer Fig. 3(EP). 14, magnetic moment of dipole at origin O, Let P be a point at distance r from O and OP makes an angle  with z-axis. Component of along OP = M cos . The point P is on the axial line of dipole of magnetic moment M cos . The magnetic field induction at P due to dipole of moment        M cos  is Consider a spherical surface of radius r with centre at O lying in y-z, plane. Take an elementary area ds of the surface at P. Then = = .