A nonconducting rod of mass M and length l has a uniform charge per unit length l and rotates with angular velocity about an axis through one end perpendicular to the rod. The moment of inertia I =1/3*^2 a) Consider a small segment of the rod of length dx and charge dq = dx, at a distance x from the pivot. Provide the magnetic moment as a function of ,,, and .

b) Integrate the result from part (a) and provide the total magnetic moment of the rod as a function of ,, and, .

c) Show that the magnetic moment (m) and angular momentum (L) are related by expressing the magnetic moment as a function of Q (the total charge on the rod), M, and L.