Field Magnitude and force question

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Homework Help Overview

The discussion revolves around the conceptual understanding of electric field magnitude, particularly how it varies with distance and whether it remains constant along a line of force. The context involves Coulomb's law and the behavior of electric fields generated by point charges.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between field line density and field magnitude, questioning if the magnitude changes with distance or remains constant when charges are unchanged. There is an attempt to clarify the concept of equipotential surfaces and their relation to electric field direction.

Discussion Status

Some participants have offered insights regarding the nature of electric fields and equipotential surfaces, while others express confusion about the concepts and seek further clarification. Multiple interpretations of how field magnitude behaves in relation to distance and charge are being explored.

Contextual Notes

There is a recurring theme of uncertainty regarding the relationship between charge, distance, and electric field magnitude, with participants questioning their assumptions and understanding of the concepts involved.

crh
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Homework Statement



I am needing help with just a conceptual question. I am wondering how the field magnitude varies with the distance between the field lines and if it remains constant along a line of force.

Homework Equations



I don't think I use an equation. Maybe Coulomb's equation.

The Attempt at a Solution



I am not for sure how to solve it so I don't know a solution I guess. I think though that the field magnitude is constant if the charges are kept the same. Am I on the right path?
 
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crh said:

Homework Statement



I am needing help with just a conceptual question. I am wondering how the field magnitude varies with the distance between the field lines and if it remains constant along a line of force.

Homework Equations



I don't think I use an equation. Maybe Coulomb's equation.

The Attempt at a Solution



I am not for sure how to solve it so I don't know a solution I guess. I think though that the field magnitude is constant if the charges are kept the same. Am I on the right path?

Welcome to PF.

The E-field in Coulomb's law is a vector field. I think you should examine the equation to understand how that magnitude calculation is affected by the principle variable r if you are holding q constant. Equipotential lines then refer to the equal magnitudes, but not necessarily the same identical direction at each point along an equipotential. For instance the equipotential lines of a point charge would be spherical concentric shells of equal magnitude in 3 space, with direction determined by the direction to the point charge.
 
I guess I am just not understanding. Can you help explain it to me. For one I didn't think that the magnitude changes with distance. I thought it all depended on the amount of charge on a point. This means that if the charges stay the same that it does remain constant along a line of force. Right? Can you explain if I am wrong. Thanks!
 
crh said:
I guess I am just not understanding. Can you help explain it to me. For one I didn't think that the magnitude changes with distance. I thought it all depended on the amount of charge on a point. This means that if the charges stay the same that it does remain constant along a line of force. Right? Can you explain if I am wrong. Thanks!

The magnitude of an electric field will remain the same along an equipotential surface, which for a point charge will be across the surface of a sphere or radius r. For the point charge, the vector direction is guaranteed to be different as it points toward the point charge. (The same as with the electric field having a vector associated with its magnitude.)

Here is a link to a discussion about vector fields:
http://en.wikipedia.org/wiki/Vector_field
 
Thanks!:-p
 

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