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

In summary, the integral used to calculate the voltage between two points involves evaluating the electric field along a specific path connecting those points. This integral accounts for the potential difference and can be expressed mathematically as the negative integral of the electric field vector. The result provides the voltage, reflecting the energy required to move a unit charge between the two locations in the field.
  • #1
lys04
113
4
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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  • #2
"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?
 
  • #3
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.
 
  • #4
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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  • #5
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?
 
  • #6
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.
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  • #7
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.
 
  • #8
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.
 
  • #9
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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