Electric Field Intensity: Intersecting E-fields Explained

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Discussion Overview

The discussion revolves around the concept of electric field intensity as derived from an infinitely long straight uniformly charged wire. Participants are examining the implications of electric field lines intersecting in a specific figure from a textbook, questioning the validity of this representation given the principle that electric field lines should not intersect.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • One participant questions how electric field lines can intersect in a textbook figure, given the established principle that they should not intersect.
  • Another participant suggests that the lines in the figure may not actually represent electric field lines.
  • Some participants emphasize the importance of understanding Coulomb's law and the vector addition of electric fields in this context.
  • There is a suggestion that while electric field lines cannot intersect, the electric field vectors themselves can intersect.
  • Multiple participants express confusion and seek clarification on the topic, indicating a need for a more detailed explanation of the concepts involved.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the interpretation of the intersecting lines in the figure. There are competing views regarding whether the lines are indeed electric field lines and how to reconcile their intersection with established principles.

Contextual Notes

Participants reference a specific figure from a textbook, which may contain assumptions or definitions that are not fully articulated in the discussion. The discussion also highlights a potential gap in understanding the application of Coulomb's law and vector addition in this scenario.

SHASHWAT PRATAP SING
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This the photo of my textbook, Here In the derivation of Electric Field Intensity due to an infinitely long straight uniformly charged wire -
In the figure 1(c).20 Vector E1 and vector E2 are electric fields at point P due to the two line elements as shown in the figure 1(c).20.
But, in this figure 1(c).20 two Electric field lines are shown intersecting PE1 and PE2, how can this be done as we know that Two electric field lines never intersect each other then how are they intersecting here...

If anyone wants to know what electric field lines are you can go here-
https://byjus.com/physics/electric-field-lines/

please help me...
 
Last edited:
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The two angled lines that appear to be intersecting add together to give E that points straight up.
 
If there are charges at ##P_1## and ##P_2##, then they both contribute to the electric field everywhere, including at point ##P##. Using Coulomb's law. Right?
 
PeroK said:
If there are charges at ##P_1## and ##P_2##, then they both contribute to the electric field everywhere, including at point ##P##. Using Coulomb's law. Right?
Yes.
But, the Electric Field Lines can never intersect each other, then why they are intersecting it here.
 
SHASHWAT PRATAP SING said:
Yes.
But, the Electric Field Lines can never intersect each other, then why they are intersecting it here.
You need to think about things more. "Electric field lines can never intersect". What does that mean?
 
PeroK said:
I'm asking you to think about what you're saying.
Perok, see the figure 1(c).20,
The Electric field lines PE1 and PE2 due to the two line elements are intersecting but how can these electric field lines intersect, as we know that electric field lines do not intersect each other.

I have no idea what's happening here please help me...
 
SHASHWAT PRATAP SING said:
Perok, see the figure 1(c).20,
The Electric field lines PE1 and PE2 due to the two line elements are intersecting but how can these electric field lines intersect, as we know that electric field lines do not intersect each other.

I have no idea what's happening here please help me...
Okay, I'll give you a mutiple choice:

a) Electric field lines can intersect.
b) Those lines in your book are not electric field lines.
c) The electric field lines from two different electric fields can intersect.
 
  • #10
PeroK said:
Okay, I'll give you a mutiple choice:

a) Electric field lines can intersect.
b) Those lines in your book are not electric field lines.
c) The electric field lines from two different electric fields can intersect.
I guess maybe option (B)...
but if they are not electric field lines then what are they...
 
  • #11
SHASHWAT PRATAP SING said:
I guess maybe option (B)...
but if they are not electric field lines then what are they...
We could go with that answer. Now that you don't have a fundamental objection to Coulomb's law, what happens when you apply it in this case?
 
  • Skeptical
Likes   Reactions: SHASHWAT PRATAP SING
  • #12
PS the first paragraph spells out what's happening. It's the vector addition of the electric fields associated with different charges.
 
  • #13
PeroK said:
PS the first paragraph spells out what's happening. It's the vector addition of the electric fields associated with different charges.
Perok, can you please explain in detail I am not able to understand...
 
  • #14
SHASHWAT PRATAP SING said:
I am not able to understand...

I'm not surprised, since you are answering him so quickly there is hardly enough time to type, let alone think.
 
  • #15
SHASHWAT PRATAP SING said:
Perok, can you please explain in detail I am not able to understand...
It's 1) Coulomb's law; and 2) the vector addition of electric fields.

If that's a problem, then the material is too advanced and you need to take a step back and revise the basics.
 
  • #16
PeroK said:
It's 1) Coulomb's law; and 2) the vector addition of electric fields.

If that's a problem, then the material is too advanced and you need to take a step back and revise the basics.
No, perok that's not the problem.
I just wanted a detailed explanation.
But, Really Thanks for your help..

The Electric Field lines cannot intersect each othe but the Electric Field vector can intersect each other. That is what happening here...
 
  • #17
SHASHWAT PRATAP SING said:
View attachment 280905
This the photo of my textbook, Here In the derivation of Electric Field Intensity due to an infinitely long straight uniformly charged wire -
In the figure 1(c).20 Vector E1 and vector E2 are electric fields at point P due to the two line elements as shown in the figure 1(c).20.
But, in this figure 1(c).20 two Electric field lines are shown intersecting PE1 and PE2, how can this be done as we know that Two electric field lines never intersect each other then how are they intersecting here...

If anyone wants to know what electric field lines are you can go here-
https://byjus.com/physics/electric-field-lines/

please help me...
Please can you tell me the book name am
 

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