A dipole and a solid sphere of charge +Q are oriented as shown in Figure. The dipole consists of two charges q and - q, held apart by a rod

of length s. The center of the dipole and the sphere are at a distance d from the location A. q = 6 nC, s =4 mm, d = 14 cm, and Q = 8 nC. \text { Find the magnitude of the electric field }\left|\overrightarrow{\mathbf{E}}_{\text {dipole }}\right| \text { due to the dipole at the location } \mathbf{A} . (10 points) Draw the direction of the electric field due to the dipole at the location A and write the electric field as a vector Edipole· \text { 5) Find the net electric field vector } \overrightarrow{\mathbf{E}}_{\text {net }} \text { at location } \mathbf{A} \text { due to dipole and the solid sphere. } \text { ) If a proton is placed at location } A, \text { what would be the net electric force vector } \vec{F}_{\text {net }} \text { on the proton? } \text { Find the electric field vector } \overrightarrow{\mathbf{E}}_{\text {Solid sphere }} \text { due to the solid sphere at the location } \mathbf{A} \text {. }