Please explain the relation behind this?

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The discussion focuses on understanding the relationship between electrical potential and electric fields as they transition from dipoles to parallel dipoles. Participants express confusion about the connection between the provided equations and the concepts of electric fields and potentials. There is a suggestion to clarify personal understanding and to utilize LaTeX for mathematical expressions. Additionally, the relevance of specific figures and lab instructions in the context of the question is questioned. The conversation emphasizes the need for a clearer demonstration of how the equations relate to the observed electric field configurations.
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Homework Statement
Try to demonstrate the relationship between the equations listed in the picture and what they tell you about electric fields.
Relevant Equations
Please help me understand what the correlation is between these equations and the differences between potential and electric fields
How does electrical potential and electric fields change from dipole to parallel dipoles? What does this math demonstrate? What does the equations mean?
 

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coulthardb said:
Homework Statement:: Try to demonstrate the relationship between the equations listed in the picture and what they tell you about electric fields.
Relevant Equations:: Please help me understand what the correlation is between these equations and the differences between potential and electric fields

How does electrical potential and electric fields change from dipole to parallel dipoles? What does this math demonstrate? What does the equations mean?
Welcome to PF.

That's a pretty big ask. Didn't your instructor cover this in class? It's better if you post what you understand and what you don't understand. It's best to post math using LaTeX (see the "LaTeX Guide" link below the Edit window).
 
Last edited:
:welcome: ##\qquad !​

coulthardb said:
change from dipole to parallel dipoles?
I don't even see the relation between this question and the screen shots. Does the word 'dipole' appear on pages 1 or 2 ?

What I do see on the screen shots is some lab instruction. Figure 2 on page 3 could well be one of the configurations mentioned under 'Data Analysis', so perhaps you can post your results for that configuration ? Equipotential contours seem to have been measured and field lines drawn.

##\ ##
 
Thread 'Chain falling out of a horizontal tube onto a table'
My attempt: Initial total M.E = PE of hanging part + PE of part of chain in the tube. I've considered the table as to be at zero of PE. PE of hanging part = ##\frac{1}{2} \frac{m}{l}gh^{2}##. PE of part in the tube = ##\frac{m}{l}(l - h)gh##. Final ME = ##\frac{1}{2}\frac{m}{l}gh^{2}## + ##\frac{1}{2}\frac{m}{l}hv^{2}##. Since Initial ME = Final ME. Therefore, ##\frac{1}{2}\frac{m}{l}hv^{2}## = ##\frac{m}{l}(l-h)gh##. Solving this gives: ## v = \sqrt{2g(l-h)}##. But the answer in the book...

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