Direction of Electric Field in a Bent Rod with Uniformly Distributed Charges?

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SUMMARY

The discussion centers on the electric field direction at the center of a circular arc formed by a thin nonconducting rod, where one half is positively charged and the other half negatively charged. The electric field at the center points towards the negatively charged side due to the symmetry of the charge distribution. Key equations referenced include E=Fe/qo and E=ke(q/r²)r, which are essential for calculating electric fields. Understanding the behavior of electric field lines, which emanate from positive charges and converge towards negative charges, is crucial for visualizing the field direction.

PREREQUISITES
  • Understanding of electric fields and forces (E=Fe/qo)
  • Familiarity with Coulomb's Law (E=ke(q/r²)r)
  • Knowledge of charge distributions and their effects on electric fields
  • Basic concepts of symmetry in physics
NEXT STEPS
  • Study the concept of electric field lines and their representation
  • Learn about the superposition principle in electric fields
  • Explore the effects of different charge distributions on electric fields
  • Investigate the role of test charges in measuring electric fields
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding electric fields, particularly in the context of charge distributions and their effects on field direction.

trah22
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Homework Statement


a thin nonconducting rod is bent in a circular arc. Half is given a uniformly distributed positive charge and the other half uniformly negative. Draw the direction of the electric field at the center of the circle.

Homework Equations


E=Fe/qo, F=qE E=ke(q/r2)r


The Attempt at a Solution


Im not really sure what to apply here, a test particle is always positive, so if placed in the middle of the circle made by the bended rod it the electric field points to the negative side...
 
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trah22 said:
Im not really sure what to apply here, a test particle is always positive, so if placed in the middle of the circle made by the bended rod it the electric field points to the negative side...
That's correct. To make sure you've got this completely figured out try and draw the field lines everywhere (inside and ouside the ring).
 
Electric field lines are drawn propagating outwards from a positive charge and in towards a negative charge. Using this knowledge, what can you determine about the electric field at the center of the said ring? Use symmetry arguments.


trah22 said:

Homework Statement


a thin nonconducting rod is bent in a circular arc. Half is given a uniformly distributed positive charge and the other half uniformly negative. Draw the direction of the electric field at the center of the circle.

Homework Equations


E=Fe/qo, F=qE E=ke(q/r2)r


The Attempt at a Solution


Im not really sure what to apply here, a test particle is always positive, so if placed in the middle of the circle made by the bended rod it the electric field points to the negative side...
 
doesnt there need to be a charge in the middle in the first place to relate the electric field to..?
 
Last edited:
The electric field is present regardless of whether or not a test charge is in place. The test charge serves the purpose of allowing one to manually probe the field and determine its strength at certain points.

trah22 said:
doesnt there need to be a charge in the middle in the first place to relate the electric field to..?
 

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