Is the Magnitude of an Electric Field Consistent Across All Spatial Locations?

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Homework Help Overview

The discussion revolves around the nature of electric fields, specifically whether the magnitude of an electric field remains consistent across different spatial locations or varies with distance from a source charge.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between electric field magnitude and distance from the source charge, questioning if the field's magnitude is uniform or diminishes with distance. Some reference the definition of electric field in terms of force on a test charge.

Discussion Status

There is an ongoing exploration of the concept, with participants providing definitions and clarifications about the electric field and the conditions under which a test charge can be used to measure it. Multiple interpretations of the electric field's behavior are being discussed.

Contextual Notes

Participants note the importance of the test charge being sufficiently small to avoid influencing the electric field being measured, and there is a reference to a more detailed discussion in another thread.

BadSkittles
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Hello, in an electric field, are the magnitudes of the field the same regardless of the spatial location? Or is the field's magnitude similar to the force experienced by the test charge where it gets smaller as you move away from the source charge? Any clarification would be appreciated.
 
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BadSkittles said:
Hello, in an electric field, are the magnitudes of the field the same regardless of the spatial location? Or is the field's magnitude similar to the force experienced by the test charge where it gets smaller as you move away from the source charge? Any clarification would be appreciated.
By definition: The magnitude of the field is the same as the magnitude of the force experienced by a test charge with a charge q, divided by q. (The direction is the same as the force experienced by a positive test charge.)

i.e. we write: ##\vec{E} = \vec{F}/q##

In general, the magnitude of the field varies from place to place.
You should be able to tell this - if the field were the same no matter where you were then how would it be useful?
 
Last edited:
The test charge must be arbitrarily small so as not to affect the E field being measured. So really E = lim q → 0 of F/q.
 
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