# Answer to Question #7879 in Electric Circuits for keke

Question #7879

potential difference is defined as

Expert's answer

Potential difference is the difference in electric potential between two points A and B.

ΔV = V(B) - V(A)

Most accurately, it is the path integral of the electric field from point A to point B:

ΔV = ∫E(r)∙dl, path=A..B

This can be interpreted as the amount of work it takes to move a

positive test charge from point A to point B through the electric field.

Equivalently, this is the amount of potential energy the test charge

will gain when it moves from point A to B.

ΔV = V(B) - V(A)

Most accurately, it is the path integral of the electric field from point A to point B:

ΔV = ∫E(r)∙dl, path=A..B

This can be interpreted as the amount of work it takes to move a

positive test charge from point A to point B through the electric field.

Equivalently, this is the amount of potential energy the test charge

will gain when it moves from point A to B.

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