A spherical shell of radius carries a uniform surface charge density (charge per unit area) . The center of the sphere is at the origin and the shell rotates with angular velocity (in rad/sec) around the -axis ( at the origin). Seen from below, the sphere rotates clockwise. (See the figure below)

Question

A spherical shell of radius   carries a uniform surface charge density (charge per unit area)  . The center of the sphere is at the origin and the shell rotates with angular velocity   (in rad/sec) around the  -axis (  at the origin). Seen from below, the sphere rotates clockwise. (See the figure below)

(a) Calculate the magnitude of the total current (in A) carried by the rotating sphere for the following values of  ,   and  :
  8      ,   5     and

(b) Calculate the magnitude of the magnetic field   (in T) that is generated by the circular current of the rotating shell at a point P on the  -axis for the following values of  ,   ,   and  :
  8      ,   5    ,   2.3   and