Calculating Electric Field Values for Point-Line Plate

AI Thread Summary
To calculate the electric field at specific points on a point-line plate, the relationship E = F/q and the integral ΔV = ∫E dot ds are essential. The user has provided electric field maps and voltage data from resistors but is uncertain about how to apply these equations. It is clarified that when E is constant between equipotential lines, the integral simplifies to E*s = ΔV, leading to the formula E = ΔV/Δs. The distance Δs should be measured between two equipotential lines along the electric field line, with the midpoint serving as the reference for calculating E. Understanding these concepts is crucial for accurately determining the electric field values.
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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