Let us consider an infinitesimal spherical shell of radius x

Last updated: 6/18/2023

Let us consider an infinitesimal spherical shell of radius x in the sphere as shown in the figure Shell m di dq pdV di dq x du x 0 2 dq pw I I it I I Let dq be the charge present in the shell As the solid sphere as charge Q over its volume 12 0 I I T dq px 2 xdx x cos 0d0 When the sphere rotates with angular speed w Let di be the current in disc xe px 2 x cos 0dxd0 w 2 From this Magnetic moment of the disc du di x Area of elemental disc Solid sphere x dx A W px 2 x os 0dxd0 w 2 Integrating on both sides we get 22 75 T X Tx cos 0 cos ede