Why isn't current negative in this example?

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The discussion revolves around calculating the current in a copper wire with a given electric potential difference. The formula used is p(I/A) = V/L, where resistivity, cross-sectional area, and length are all positive values. The user encountered a negative value for current due to the potential difference being negative (Vf < Vi). It is clarified that the formula is meant to provide the magnitude of current, and the direction can be inferred from the potential difference. The conclusion emphasizes that current flows from higher to lower potential, thus the current should be considered positive despite the negative potential difference.
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Homework Statement


The figure gives the electric potential V(x) along a copper wire carrying uniform current, from a point of higher potential Vs = 9.00 μV at x = 0 to a point of zero potential at xs = 3.20 m. The wire has a radius of 1.50 mm, and copper has a resistivity of 1.69 × 10-8 Ω·m. What is the current in the wire?

http://edugen.wileyplus.com/edugen/courses/crs7165/art/qb/qu/c26/q24.jpg

Homework Equations



p(I/A)=V/L

p = 1.69*10^-8 (ohm * meter) for copper

The Attempt at a Solution



I solved it by just plugging values into the above equation give. It is clear that A>0 (cross section), L > 0 (length), p > 0 (given constant). And V < 0 because Vf = 9*10^-6 and Vi = 0.

The answer is +1.176e-3, but I got a negative value. As you can see, every value is positive except delta V, because Vf < Vi, so the current should be negative, should it not?
 
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Probably the formula was intended to give only the magnitude of the current. So, all of the quantities in the formula should be considered as magnitudes (positive). You can always get the direction of the current from the rule that current in a conductor flows from higher to lower potential.
 
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