Question

A sphere with radius R has charge distribution as given $\rho$ (r,$\Theta$)=k*cos($\phi$) .

Calculate electric dipole moment.(Hint:remember symmetry of charge distribution)

Answer 1

As know dipole moment Po as dhe Salad tda s كلمي where as hands Bs369 @)akcore? 1 = 2 Roost ds = R² sino do do ass Area of sphere d=2 Roose (kcose) (R²sina de do) (2R coso) Po S2 R3 cosesino do do Po a -S2 R² k cose t-sino) do do Po= - 2 R3 k s cos² (-sina) do de Ø cose (-sint let us cose du= -sinado ind cost o sind) Scos²a u3 = cos 30 + c 3 (-sint) T/2 i lo = - 2 R3 K cos²0 3 o 211-0 lo – 2R² k [cos I 2 3 f 3 Poz. 20170-1 10-17477 4T R²K Ans