Negative sign in voltage equation

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baby_1
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hello
as we know if we wanta find the resistance of a material we use this equation
Equation R = V / I = integral of E dot dl divided by the integral over a surface of (sigma E dot ds), written as plain mathematical notation.

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 .
Equation V_ab = minus the integral from b to a of (E vector dot dl vector).

why in resistance equation we ignore negative sign?
 
baby_1 said:
hello
as we know if we wanta find the resistance of a material we use this equation
Equation R = V/I = ∫(E·dl) / ∫∫(σE·ds), relating resistance to voltage and current through line and surface integrals of the electric field and conductivity.

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 .
Equation V_ab = -∫ from b to a of (E · dl), defining potential difference as the negative line integral of the electric field along a path from b to a.

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.

ehild
 
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