Question about the integral used to calculate the voltage between two points

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Homework Help Overview

The discussion revolves around the concept of voltage and potential difference in the context of circuit analysis and electrostatics. Participants are exploring the definitions and implications of these terms, particularly in relation to their usage in equations and questions about potential differences between points A and B.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the terminology used to describe voltage and potential difference, particularly the implications of the word "between" and whether it denotes directionality or magnitude. There is also discussion about the absolute value of potential difference and its interpretation in various contexts.

Discussion Status

There is an active exploration of the definitions and nuances of voltage and potential difference, with some participants clarifying their terminology and others seeking to understand the implications of these terms in circuit analysis. Acknowledgment of potential confusion around the terms suggests a productive dialogue, though no consensus has been reached.

Contextual Notes

Participants are navigating the complexities of terminology in physics, particularly in relation to homework questions and common usage in the field. There is mention of a typo that contributed to confusion, highlighting the importance of precise language in discussions of these concepts.

lys04
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Homework Statement
If the voltage between two points is the negative integral from A to B of Edl, then in a given problem where it asks me to find the voltage between two points, how do I know which is A and which is B? Will both a negative and positive answer be accepted since its relative, like for example point A is +2V compared to B but B might be -2V compared to A?
Relevant Equations
negative integral from A to B of Edl
^^
 

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"between" is symmetric. It does not imply a direction, so the answer would be a magnitude. But is that the word used in the question?
 
My usage of the word voltage, with which some PF users disagree, is to denote the absolute value of the potential difference between two points. If I want to refer to a quantity that could be positive or negative, i use "the electrostatic potential difference between from A to B".

When one writes ##Q=CV## for a capacitor, ##V## is called the voltage across the capacitor and is assumed to be always positive.
 
kuruman said:
"the electrostatic potential difference between from A to B"
Between? Did you mean "the electrostatic potential difference from A to B"?
 
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haruspex said:
"between" is symmetric. It does not imply a direction, so the answer would be a magnitude. But is that the word used in the question?
No, I am just asking generally, it hasn't come up in a question. It just confused me tho. Does magnitude mean it's always positive?
 
haruspex said:
Between? Did you mean "the electrostatic potential difference from A to B"?
Idk, I saw a question online that was like find the potential difference between A and B so I got confused.
1692315704787.png
 
kuruman said:
My usage of the word voltage, with which some PF users disagree, is to denote the absolute value of the potential difference between two points. If I want to refer to a quantity that could be positive or negative, i use "the electrostatic potential difference between from A to B".

When one writes ##Q=CV## for a capacitor, ##V## is called the voltage across the capacitor and is assumed to be always positive.
:ok:That makes sense. Thanks.
 
haruspex said:
Between? Did you mean "the electrostatic potential difference from A to B"?
That's what I meant. I crossed out the superfluous "between". Thanks for the catch.
lys04 said:
No, I am just asking generally, it hasn't come up in a question. It just confused me tho. Does magnitude mean it's always positive?
The question in @haruspex's post #4 was addressed to me. It was a typo that I fixed. Sorry about the confusion.
 
But in circuit analysis you have to get the sign of the potential difference right. All these sign problems usually go away when you remember, how the corresponding quantities are derived from Maxwell's equations.
 
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