Negative sign in voltage equation

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The discussion centers on the apparent contradiction between the negative sign in voltage equations and its absence in resistance calculations. It highlights that in Ohm's Law, voltage represents a potential drop, indicating a negative potential difference. The potential decreases in the direction of the electric field, while current flows along that same direction. The negative sign in voltage accounts for the behavior of positive and negative charges, but resistance is a scalar quantity that does not require this distinction. Understanding these concepts clarifies why the negative sign is ignored in resistance equations.
baby_1
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hello
as we know if we wanta find the resistance of a material we use this equation
%7D.%5Cvec%7Bdl%7D%29%7D%7B%5Cint%20%5Cint%20%28%5Csigma%5Cvec%7BE%7D.%5Cvec%7Bds%7D%29%20%29%7D.gif

but in electromagnetic course we know that voltage equation has negative sign that it is refer to positive charge thas positive sing and negative charge has negative sing .
gif.latex?V_%7Bab%7D%3D-%5Cint_%7Bb%7D%5E%7Ba%7D%28%5Cvec%7BE%7D.%5Cvec%7Bdl%7D%29.gif

why in resistance equation we ignore negative sign?
 
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baby_1 said:
hello
as we know if we wanta find the resistance of a material we use this equation
%7D.%5Cvec%7Bdl%7D%29%7D%7B%5Cint%20%5Cint%20%28%5Csigma%5Cvec%7BE%7D.%5Cvec%7Bds%7D%29%20%29%7D.gif

but in electromagnetic course we know that voltage equation has negative sign that it is refer to positive charge thas positive sing and negative charge has negative sing .
gif.latex?V_%7Bab%7D%3D-%5Cint_%7Bb%7D%5E%7Ba%7D%28%5Cvec%7BE%7D.%5Cvec%7Bdl%7D%29.gif

why in resistance equation we ignore negative sign?

The voltage in Ohm's Law means potential drop, negative potential difference. The potential decreases in the direction of the electric field, and the current flows in the direction of the electric field.

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