Electric field vector takes into account the field's radial direction?

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Discussion Overview

The discussion revolves around the nature of the electric field vector, particularly whether it accounts for the radial direction of the field when calculated from a point charge. Participants explore the implications of multiple charges on the shape of electric field lines and the conditions under which they may appear curved or straight.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant questions whether the electric field vector, typically represented as a straight line vector, adequately reflects the radial nature of the electric field emanating from a positive charge.
  • Another participant asserts that if only one positive charge is present, the electric field lines are straight and point radially outward, challenging the notion of curved lines.
  • A later reply emphasizes that curved electric field lines can arise only when multiple charges are present, clarifying that the formula used in the original post applies to a single charge's electric field.
  • Participants reference an image to illustrate their points about the nature of electric field lines, indicating differing interpretations of the visual representation.

Areas of Agreement / Disagreement

Participants express disagreement regarding the nature of electric field lines, specifically whether they can be curved or not. There is no consensus on the implications of multiple charges on the curvature of electric field lines.

Contextual Notes

The discussion highlights assumptions about the number of charges in the system and the definitions of electric field lines, which may influence interpretations of the electric field's behavior.

annamal
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Does the electric field vector takes into account the field's radial direction? Usually when we calculate the electric field, we use ##\vec E = \frac{kq}{r^2}\vec j##, which is a straight line vector of a positive charge q's electric field. This electric field points from a positive charge q to a point P. But I am confused because the electric field of q is also radially outwards pointing towards P, which means it will have a curved line to point P. The electric field vector doesn't seem to account for that and only points in the ##\vec j## direction. See image.
Screen Shot 2022-04-21 at 7.26.40 PM.png
 
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annamal said:
the electric field of q is also radially outwards pointing towards P, which means it will have a curved line to point P.
What makes you think that it will have a curved line? If q is the only charge in the system and is positive, all electric field lines point radially away from q and those radial lines are straight, There will be no curved field lines.
 
That's because there is more than one charge. As I said in my post, if there's only one charge they will not curve.
The formula you used in the OP is either for the case where there's only one charge or where you are only calculating the electric field attributable to the charge q, not the total electric field. The total field will curve if there are multiple charges but the field attributable to any single charge will not. The curvature arises from the interaction of the fields.
 
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