In: Physics
A dipole moment, p = (2 Cm i) + (-5 Cm j) + (7 Cm k), is within an E = (-5 N/C i) + (6 N/C j) + (3 N/C k).
- Determine the potential energy stored by the dipole in the
field.
- Determine the torque on the dipole by the field.
- Determine the angle between the dipole moment and the field.
= dipole moment = 2 i - 5 j + 7 k
= electric field = - 5 i + 6 j + 3 k
Potential energy stored by the dipole in the field is given as
U = -
.
U = - (2 i - 5 j + 7 k).(- 5 i + 6 j + 3 k)
U = 19 J
Torque on the dipole is given as
=
x
=
(2 i - 5 j + 7 k) x (- 5 i + 6 j + 3 k)
=
- 57 i - 41 j - 13 k
||
= magnitude of torque =
= 71.4
||
= magnitude of dipole moment =
= 8.83
||
= magnitude of electric field =
= 8.4
= angle between
electric field and dipole moment
using the equation
(||
) = (|
|)
( |
|)
Sin
71.4 = (8.83) (8.4) Sin
Sin = 0.963
=
Sin-1(0.963)
= 74.4 deg