- #1
stunner5000pt
- 1,461
- 2
Homework Statement
Find the magnetic dipole moment of a spherical shell of radiu R carrying a uniform surface charge sigma, set spinning at angular velocity omega.
Homework Equations
[tex] \vec{m} = \frac{1}{2} \int_{S} \vec{r'} \times \vec{K} (\vec{r'}) da' [/tex]
The Attempt at a Solution
So we got to figure out the surface charge density (since it is a spherical shell)
[tex] K = \sigma v [/tex]
and [tex] v = \omega times R [/tex]
this is where i am doubtful...
the angle between v and R varies from 0 to 2 pi
so this cross product is not unique...
or am i thinking about this the wrong way??
please help!