How Is Torque Calculated on a Dipole in an Electric Field?

Click For Summary
SUMMARY

The torque on a dipole in an electric field is calculated using the formula τ = pE sin(θ), where τ is the torque, p is the dipole moment, E is the electric field strength, and θ is the angle between the dipole moment and the electric field. For a dipole moment of 0.50 e · nm in an electric field of 8.0 × 104 N/C, the torque is zero when aligned with the field (θ = 0°) and reaches a maximum when perpendicular (θ = 90°). The potential energy of the dipole can be determined using U = -pE cos(θ), yielding specific values for the orientations discussed.

PREREQUISITES
  • Understanding of electric dipoles and their properties
  • Familiarity with torque calculations in physics
  • Knowledge of electric fields and their effects on charges
  • Basic grasp of potential energy concepts in electric fields
NEXT STEPS
  • Study the derivation of the torque formula τ = pE sin(θ)
  • Explore the relationship between electric field strength and dipole moment
  • Investigate potential energy calculations for different orientations of dipoles
  • Learn about the applications of dipoles in electric fields in real-world scenarios
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in the behavior of dipoles in electric fields.

swimmer052005
Messages
4
Reaction score
0

Homework Statement



A dipole of moment 0.50 e · nm is placed in a uniform electric field with a magnitude of 8.0 104 N/C. What is the magnitude of the torque on the dipole for each of the following situations?

(a) the dipole is aligned with the electric field
0. N · m (this is correct)

(b) the dipole is transverse to (perpendicular to) the electric field
__________. N · m

(c) the dipole makes an angle of 29.5° with the direction of the electric field
_______ N · m

(d) Defining the potential energy to be zero when the dipole is transverse to the electric field, find the potential energy of the dipole in the electric field for the orientations specified in Parts (a) and (c).
θ = 0°, U = _________

θ = 29.5°, U = _________ J

Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
What is the relevant equation for the torque on a dipole in an electric field?
 
dqE = pE
 

Similar threads

Replies
7
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K
Replies
2
Views
3K
  • · Replies 11 ·
Replies
11
Views
1K
  • · Replies 25 ·
Replies
25
Views
2K
Replies
1
Views
2K
Replies
4
Views
3K
Replies
1
Views
1K
  • · Replies 8 ·
Replies
8
Views
5K