Please help electric field and electric potential

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Homework Help Overview

The problem involves calculating the electric field and electric potential at points along the positive y-axis due to a configuration of one positive charge and two negative charges. The original poster is seeking to understand the relationship between the electric field components and their mathematical representation.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need to calculate the electric field as a function of the y-coordinate and question the relationship between the y-component of the electric field and the derivative of the potential. There are attempts to clarify the setup and the distances involved in the calculations.

Discussion Status

Some participants have provided guidance on how to approach the problem by suggesting the addition of forces from each charge and the importance of considering vector components. There is an ongoing exploration of the calculations, with participants questioning the validity of certain results and emphasizing the need for a functional relationship with respect to y.

Contextual Notes

There is a mention of a diagram that is crucial for understanding the charge arrangement, which some participants initially found unclear. The original poster expresses uncertainty about how to begin the calculations, indicating a potential gap in foundational understanding.

plano1239
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Homework Statement


One positive (+2q) and two negative (-q) charges are arranged as displayed in fgure 1.
Calculate electric feld E and electric potential (a) at points along the positive y¡axis as
functions of their coordinate y. What is the direction of E at those points? In your results,
does y-component Ey of the field satisfy Ey = -dx/dy? Is it supposed to satisfy?

x
-q.......2q.......q)

Homework Equations



E = ke q/r^2


The Attempt at a Solution



i don't know how to start this problem.
 

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I do not understand your picture..
 
i added the picture
 
Then the electric field is force/ unit charge.

So you should add all forces that comes from the 3three charges; note their signs! ; as a function of y.

What is the distance from point y to x ? (i.e the r in the formula), hint: triangle..
 
i will try that thank you.
 
so for the first part, i got

E = -4ke/a^2
is that all or can i solve this further?
 
where did the 4 come from? And it should be a function of y, and i forgot: Use also vectors. i.e for a certain point on the y-axis, find the x and y composant of the force for each charge, then add x and y-wise; so you get the direction too.
 

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