How Do I Find the Electric Field for the Whole Plane Using My Lab Data?

[Josh930]

Homework Statement

If i have a sketch of field lines, and equipotential lines which i completed in a lab, and i know the voltage,V, of points located at intervals ,L, how do i find the electric field for the whole plane?

Homework Equations

lEl = DeltaV/DeltaL

The Attempt at a Solution

I can find the electric field magnitude for each individual point that i plotted because my distance L was 1cm(constant) and i recorded the voltage at each point.

 

[berkeman]

Homework Statement

If i have a sketch of field lines, and equipotential lines which i completed in a lab, and i know the voltage,V, of points located at intervals ,L, how do i find the electric field for the whole plane?

Homework Equations

lEl = DeltaV/DeltaL

The Attempt at a Solution

I can find the electric field magnitude for each individual point that i plotted because my distance L was 1cm(constant) and i recorded the voltage at each point.

Welcome to the PF. It sounds like you are on the right track. Can you scan your drawing and post it so we can check it?

 

[tomcue]

To find the electric field for the whole plane, I can use the equation lEl = DeltaV/DeltaL and take the average of all the electric field magnitudes at each point. This will give me an approximation of the electric field for the entire plane. However, it is important to note that this will only be an approximation because the electric field may vary at different points on the plane and may not follow a linear relationship. To get a more accurate measurement of the electric field, I would need to take more data points and possibly use a computer program to plot a more precise field map. Additionally, I can also calculate the direction of the electric field by looking at the orientation of the field lines on my sketch. Overall, accurately mapping the electric field of a plane requires careful measurements and analysis of data points, and may also involve using mathematical models and computer simulations.