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