Question

5. Suppose an ideal electric dipole (what Griffiths calls a perfect dipole) of dipole moment d is immersed in an electric field is produced by a spherical shell of radius R with charge density (O) = Gocos (in spherical coordinates). Suppose the ideal electric dipole is located at x where > R. Express the interaction energy as a function of 00, d. r, and f.

Electrodynamics

Answer 1

Solution - ideal electric field (dipore) of dipole moment dis immersed in an electric field is produc Spherical shell of Radius R with charge darsily (0)=of caso 7 where a = charge density & volume a = 2(0) x volone - пъcos o пp3 Volome not no

here dipole is place on x-axis where 1713 outside the sphere het too &-al charges are speraly by i distance. distance. dipole is locate at y distance dipole is from origin are d dipole moment ve a UTEN due to dipole potential at origin Tt Me Y-ML uTnED - al ut Es (1-1/4) Y3)/2, So ris elu eu Can be neglected potential at origin = v. as at u nsor but are d = dipole moment d V= usert interaction energy ura - dxigros Oxy TR² UTGIL - Godr² caso 3 con

potential at origin is som of potential produced by tor & -a . u= TdR coso 300 72