Calculating Electric Field Values for Point-Line Plate

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Homework Help Overview

The discussion revolves around calculating electric field values at specific points on a point-line plate, utilizing concepts from electrostatics. Participants are examining the relationship between electric field and potential difference, as well as the implications of their experimental data.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are discussing the application of the equation ΔV = ∫E dot ds and exploring how to compute the electric field using voltage measurements and distances between equipotential lines. Questions about the starting point for distance measurements and the interpretation of the integral are raised.

Discussion Status

The discussion is actively exploring the relationship between voltage and electric field, with participants providing insights on how to approach the calculations. There is a focus on clarifying the measurement of distances and the assumptions involved in the calculations.

Contextual Notes

Participants are working with data from electric field maps and voltage measurements across resistors, indicating a practical application of theoretical concepts. There are ongoing questions about the validity of the measurements and the assumptions regarding the constancy of the electric field between equipotential lines.

kgal
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Homework Statement



Compute values for the electric field at four different points on the point-line plate. Comment on the validity of your values.

Homework Equations



E = F/q
ΔV = ∫E dot ds

The Attempt at a Solution



I have attached 3 electric field maps that I did in the lab and I also have a data table with voltage after the 7 resistors (E1 - E7). I just don't understand how I can calculate the electric field with what I have.
 

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Let's look at this equation:
kgal said:
ΔV = ∫E dot ds
As an approximation, suppose that E is constant between two consecutive equipotential lines. What does the integral become in that case?
 
E∫ds = E*s...
 
kgal said:
E∫ds = E*s...
... = ΔV

So to find E ... ?
 
ΔV / Δs ?
Δs should be in meters?
 
but where does the distance measurement start?
from the point I want to know the electrical field at to where?
 
The distance is measured between two eqipotential lines, along the E-field line. You can take midway between the eqipotentials as the point where you are calculating E.
 

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