Charge is distributed with steady volume density D by the rectangular box with length a, width b and height c.
a) What is the monopole moment of this system?
b) What is dipole moment of this system?
c) Calculate all elements of the quadrupole moment tensor for this system?
d) What is monopole contribution to the scalar potential?
e) What is dipole contribution to the scalar potential?
f) Determine contribution to the scalar potential of the quarupole moment?
g) Supposing all contributions to the scalar potential higher than the quadrupole are negligible, how much work is essential to bring a charge q from infinity to the point (3a, 0,0)