What is the Magnitude of the Dipole Moment in a Uniform Electric Field?

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SUMMARY

The magnitude of the dipole moment P in a uniform electric field E of 20 N/C can be determined using the potential energy equation U = -p · E. The potential energy U is maximized when the angle θ between the dipole moment and the electric field is 180 degrees. The correct approach involves substituting the maximum potential energy and the angle into the equation U = -pEcos(θ), ensuring to account for the factor of 10^-26 as mentioned in the discussion.

PREREQUISITES
  • Understanding of electric dipoles and their properties
  • Familiarity with vector dot products in physics
  • Knowledge of potential energy in electric fields
  • Basic calculus for integral applications
NEXT STEPS
  • Study the derivation of potential energy for electric dipoles in uniform fields
  • Learn about the implications of angle θ in dipole interactions
  • Explore the concept of torque on a dipole in an electric field
  • Investigate the role of constants like 10^-26 in physical equations
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Students studying electromagnetism, physics educators, and anyone interested in the behavior of electric dipoles in electric fields.

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Homework Statement


A certain electric dipole is placed in a uniform electric field E of magnitude 20 N/C. Figure 22-59 gives the potential energy U of the dipole versus the angle θ between E and the dipole moment P. What is the magnitude of P?


Homework Equations


U=p(dot)E


The Attempt at a Solution


Somehow there is an integral needed to solve this but I don't know where to start. there is also a graph with this question.
 
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i thought...
U=-\vec{p} \cdot \vec{E}
but idk if that really changes much.
 
It does, i was just forgetting to multiply it by the factor of 10^-26 hehe. Thanks.
 
can't you just take Us to be the maximum, and the angle of 180 to be the angle that corresponds to the maximum potential, and plug these into U=-pEcos(theta), along with the magnitude of E?
 

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