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Hi everyone!
I ask some help in understanding better the concept of voltage. The voltage is a difference in electric potential between two points ##a## and ##b##. It is defined as
However, I'm a bit confused with the use of notation:
 Is ##V_{ab}## the same as ##\Delta{V}##, or rather ##\Delta{V}##? In fact, ##V_{ab}## is also written as ##V_aV_b##, while ##\Delta{V}## should be a difference between a final and an initial position.
 What do ##a## and ##b## represent? They are extrema of integration, but how do we select them in a problem, one as the starting position and the other as the arrival? What does the integration from one to the other (and not vice versa) mean?
Eventually, I would like to add another question, this one about the integrand:
 What is concretely ##dl##, and what is its direction?
Thanks very much!
I ask some help in understanding better the concept of voltage. The voltage is a difference in electric potential between two points ##a## and ##b##. It is defined as
However, I'm a bit confused with the use of notation:
 Is ##V_{ab}## the same as ##\Delta{V}##, or rather ##\Delta{V}##? In fact, ##V_{ab}## is also written as ##V_aV_b##, while ##\Delta{V}## should be a difference between a final and an initial position.
 What do ##a## and ##b## represent? They are extrema of integration, but how do we select them in a problem, one as the starting position and the other as the arrival? What does the integration from one to the other (and not vice versa) mean?
Eventually, I would like to add another question, this one about the integrand:
 What is concretely ##dl##, and what is its direction?
Thanks very much!
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