Conceptual question help-Electric fields, potentials, etc.

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SUMMARY

The discussion centers on the relationship between electric fields and electric potentials, specifically addressing whether a zero electric field (E) at a point necessitates a zero electric potential (V) at that same point. It is established that E being zero does not imply V is also zero, as demonstrated by the example of a point in a uniform electric field where potential can still exist. Additionally, the forum addresses the electrostatic forces between two charged spheres, A and B, where sphere B has double the charge of sphere A, confirming that the forces act in opposite directions and that the force on A is indeed twice that on B due to the charge difference.

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  • Understanding of electric fields and potentials
  • Familiarity with Coulomb's law and electrostatic forces
  • Knowledge of Newton's third law of motion
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  • Study the relationship between electric field and potential in different configurations
  • Explore Coulomb's law in detail, focusing on force calculations between charged objects
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Conceptual question help--Electric fields, potentials, etc.

Homework Statement



1) Assume that the electric field E is equal to zero at a given point. Does it mean the electric potential V must also be equal to zero at this point? If not, provide an example to prove your answer. if you think the answer is "yes," then justify it.

I'm assuming the potential would also have to be zero, right? According to the equation V = E*D, if E is zero...then V would also have to be zero, right? Does the equation apply to all situations...or does it only hold when certain "conditions" are met?

2) 2 small. uniformly charged spheres A & B are at a fixed location. The charge on sphere B is twice the charge on sphere A. Both are positive. What are the directions and relative values of the electostatic forces acting on both spheres?

I know the directions would be in opposite directions of each other. However, the relative value would be..the electrostatic force acting on A would be twice of that when compared to B..since B has twice the charge, right? I'm not really sure on the relative value. If anyone could explain this to me..I would greatly appreciate it.
 
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1) You're guessing. Where did you find V = E*D mentioned without there being some "conditions" ?

2) I take it the context is that only electrostatic forces have to be considered. Newton 3 is still valid! Write down each of these forces and draw your conclusions.
 

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