A dipole of moment 0.5 e·nm is placed in a uniform electric field with a magnitu

Question

A dipole of moment 0.5 e·nm is placed in a uniform electric field with a magnitude of 13 104 N/C. What is the magnitude of the torque on the dipole when

(a) the dipole is parallel to the electric field, _____N*m.

(b) the dipole is perpendicular to the electric field, and ______N*m.

(c) the dipole makes an angle of 30 with the electric field? _______N*m.

(d) Find the potential energy of the dipole in the electric field for each case.
theta= 0 (parallel), U = ______J

theta = 90 (perpendicular), U = _____J

theta = 30, U = ______J

Explanation / Answer

p = 0.5 e·nm, E = 13*104 N/C.

magnitude of the torque on the dipole = pEsin

(a) the dipole is parallel to the electric field, = 0, = 0 N*m.

(b) the dipole is perpendicular to the electric field, = /2 and = 1.04*10-23 N*m.

(c) the dipole makes an angle of = 30o with the electric field? 5.20*10-24 N*m.

the potential energy of the dipole in the electric field U = -pEcos

(d) Find the potential energy of the dipole in the electric field for each case.
theta= 0 (parallel), U = -1.04*10-23 J

theta = 90 (perpendicular), U = 0 J

theta = 30, U = -9.01*10-24 J

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