Question

A dipole with charges of +2e and -2e is centered at the origin and oriented along the y axis, with the +2e charge on the +y axis and the -2e charge on the -y axis. The charges of the dipole are separated by a distance of 3*10^-10 meters.

Determine the electric field at the location < -4*10^-8, 0, 0 > meters in vector form.

Determine the force an electron would feel if placed at this location in vector form.

Determine the electric field at the location < 0, 4*10^8, 0 > meters in vector form.

Determine the force a proton would feel if placed at this location in vector form.

You don’t need to do a full superposition problems here; just use the dipole electric field formulas and think through the direction separately.

Answer 1

Given data Distance between two charges is s -3x10-1°m Distance between center of dipole and proton is d-4x10* m Electric field at a perpendicular bisector due to dipole is 47t& Here 2(1.6x10-19C)(3x10-10 m 9.6x10Cm 9x10° )(9.6x10-20 4x10- 1.35x10*N/C Force on electron (1.35x10'N/C) (2) (1.6x10-1 c) 4.32 x10-15N b) Electric field at axial point due to dipole 1 2P Here -2(1.6×10-19C)(3x10-10 m 9.6x10-29 Cm 4TELd (9x10°) (2x9.6x10-2) 4x10-8 = 2.7 × 104N/C Force on proton is (2.7x10 N/C) (2)(1.6x10-c) 8.64 x10-1'N Here the electron is perpendicular bisector of dipole