Why isn't current negative in this example?

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SUMMARY

The discussion centers on calculating the current in a copper wire using the formula p(I/A) = V/L, where p is the resistivity of copper (1.69 × 10-8 Ω·m), A is the cross-sectional area, V is the potential difference, and L is the length of the wire. The user initially obtained a negative current value due to the potential difference being negative (Vf < Vi). However, the correct interpretation is that the formula provides the magnitude of current, which is +1.176 mA, indicating that current flows from higher to lower potential regardless of the sign of the voltage difference.

PREREQUISITES
  • Understanding of electric potential and current flow in conductors
  • Familiarity with the formula p(I/A) = V/L
  • Knowledge of resistivity and its units (Ω·m)
  • Basic concepts of cross-sectional area and length in electrical contexts
NEXT STEPS
  • Study the concept of electric potential and its role in current flow
  • Learn about the significance of resistivity in different materials
  • Explore the implications of negative voltage in electrical circuits
  • Investigate the relationship between current direction and potential difference
USEFUL FOR

Electrical engineering students, physics learners, and professionals involved in circuit design and analysis will benefit from this discussion, particularly those focusing on current calculations in conductive materials.

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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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