How do we know the point of 0 electric field is on the axis?

AI Thread Summary
The discussion centers on the assumption that the point of zero electric field between two charges lies along the axis connecting them. This is justified by the requirement that for two vectors to sum to zero, they must be equal in magnitude and opposite in direction, which occurs only along the line connecting the charges. Points off this axis cannot achieve a zero electric field because the vectors from each charge would not be antiparallel. The conversation highlights a lack of resources explaining this concept in textbooks or online. Understanding this principle is crucial for solving related physics problems effectively.
laser
Messages
104
Reaction score
17
Homework Statement
E=0
Relevant Equations
Electric field is a vector
In many homework problems I've encountered, they all seem to assume the electric field = 0 point is along the axis of the two charges. Intuitively it kind of makes sense, but I'm looking for a solid justification for it. In other words, why can't it be off the axis of the two charges? When setting up the problem, everyone seems to just assume it is on the axis.

Couldn't find any information about this in the book/online. Thanks!
Screenshot_2.png
 
Physics news on Phys.org
Draw the electric field at points outside the líne that joins q1 and q2
 
The only way to add two vectors to get zero is if they have equal magnitudes and are antiparallel.
 
  • Like
Likes MatinSAR and laser
… and the only places where they are antiparallel is where the two charges and the point of zero field all lie on the same line.
 
  • Like
Likes MatinSAR and laser
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Back
Top