3. Consider a spherical shell of radius R, which carries a surface charge den- sity o...

 

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3. Consider a spherical shell of radius R, which carries a surface charge den- sity o = k cose. (a) (10 pts) Calculate the monopole moment. (You can guess it from the charge distribution on the spherical shell without an actual calculation.) (b) (10 pts) Calculate the dipole moment p. Dipole moment for a continuous charge distribution is generally given by p= fr'p(r) dt' where the vector r' is the direction of the dipole moment. (Use that f'da= foo fo R sine do do) (c) (10 pts) Calculate the dipole potential (Hint: Vdipole (r) = 47 .) 2 (d) (Bonus 5 pts) What would be the quadrupole moment? Do not have to calculate but just explain your answer. 210 KB 3. Consider a spherical shell of radius R, which carries a surface charge den- sity o = k cose. (a) (10 pts) Calculate the monopole moment. (You can guess it from the charge distribution on the spherical shell without an actual calculation.) (b) (10 pts) Calculate the dipole moment p. Dipole moment for a continuous charge distribution is generally given by p= fr'p(r) dt' where the vector r' is the direction of the dipole moment. (Use that f'da= foo fo R sine do do) (c) (10 pts) Calculate the dipole potential (Hint: Vdipole (r) = 47 .) 2 (d) (Bonus 5 pts) What would be the quadrupole moment? Do not have to calculate but just explain your answer. 210 KB

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a The monopole moment of a charge distribution can be determined by considering the total charge enclosed within a surface In this case the spherical shell carries a surface charge density given by a ... View the full answer