What is the significance of changing charge magnitudes in a dipole?

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SUMMARY

The significance of changing charge magnitudes in a dipole is highlighted by the formula p = qd, where p is the dipole moment, q is the charge magnitude, and d is the distance between charges. When charges are not equal and opposite, such as a +10μC charge and a -5μC charge, the dipole moment is altered, affecting the dipole's behavior in an electric field. The masses of the point charges do not need to be the same for the dipole to exist, as the term "dipole" refers solely to the electric charges. Changes in charge magnitudes directly influence the dipole's rotation and interaction with external electromagnetic fields.

PREREQUISITES
  • Understanding of dipole moment (p = qd)
  • Familiarity with electric charge concepts (positive and negative charges)
  • Knowledge of multipole expansion in electromagnetism
  • Basic principles of electromagnetic fields and their interactions
NEXT STEPS
  • Research the concept of multipole expansion in electromagnetism
  • Study the effects of varying charge magnitudes on dipole behavior
  • Explore the mathematical implications of non-equal charge dipoles
  • Investigate the relationship between charge magnitudes and dipole rotation in electric fields
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Students and professionals in physics, electrical engineering, and anyone interested in understanding the dynamics of electric dipoles and their interactions with electromagnetic fields.

MathewsMD
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In a dipole, p = qd is the dipole moment. q is the magnitude of either charge, while d is the distance of separation. I was just wondering what differences in properties would be evident if both charges in the dipole were not the exact negatives of each other. For example, if you have a positive charge of 10μC a distance 10 nm away from a -5μC charge, is there another method to find an expression analogous to the dipole moment? Would the behaviour of these two charges vary significantly from a normal dipole (e.g. of positive and negative charge of + and -10μC a distance 10 nm)?

Just to confirm, in a dipole, the masses of the point charges are the same, correct? Does changing the charge on either of the charges in the dipole affect rotation of the dipole? If so, how? I'm just trying to visualize this in my head but don't know if it's quite correct. Any explanations or referral to suggested material would be great!

Thanks!
 
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MathewsMD said:
In a dipole, p = qd is the dipole moment. q is the magnitude of either charge, while d is the distance of separation. I was just wondering what differences in properties would be evident if both charges in the dipole were not the exact negatives of each other.
Look up "multipole expansion".

Just to confirm, in a dipole, the masses of the point charges are the same, correct?
No. The "dipole" refers only to the electric charges. Mathematically it is a term in the multipole expansion of the total electric field.

Does changing the charge on either of the charges in the dipole affect rotation of the dipole?
Yes. Applied EM fields interact with the charges depending on their magnitudes so changing the magnitudes changes the resulting behavior.

It will help you picture it by considering the effect on each charge separately.
 

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