Consider a magnetic dipole carrying a current I.
a. Calculate the magnetic flux density B at a point P specified in spherical coordinates. Express the answer in terms of the magnetic dipole moment m. Justify all the assumptions adopted.
b. Sketch the magnetic flux density B and compare the results with the results for E in an electric dipole. Discuss.
c. What is the importance of the magnetic vector potential A in the calculations above.
d. Give other examples of the usefulness of A?
e. What is the magnetic scalar potential \(V_{m}\)? How is it different than A?