Why isn't current negative in this example?

In summary, the figure shows the electric potential along a copper wire carrying a uniform current from a point of higher potential at x = 0 to a point of zero potential at x = 3.20 m. The wire has a radius of 1.50 mm and copper has a resistivity of 1.69 × 10-8 Ω·m. Using the formula p(I/A)=V/L, the current in the wire can be calculated to be +1.176e-3, with all values considered as magnitudes. The current direction can be determined from the rule that current flows from higher to lower potential.
  • #1
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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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  • #2
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.
 

1. Why is current negative in this example?

In this example, current is negative because it represents the flow of electrons in a circuit. Electrons have a negative charge, so their movement in the opposite direction of conventional current (from positive to negative) results in a negative current value.

2. What determines the direction of current flow?

The direction of current flow is determined by the direction of the electric field. Electrons will flow in the opposite direction of the electric field, while conventional current flows in the same direction as the electric field.

3. Can current ever be negative?

Yes, current can be negative. As mentioned before, this represents the flow of electrons in a circuit. If the direction of electron flow is opposite to the direction of conventional current, the current will have a negative value.

4. Why is negative current important to understand?

Understanding negative current is important because it allows us to accurately measure and analyze electric circuits. In some cases, a negative current value can indicate a malfunction or a change in the circuit's behavior.

5. Is the concept of negative current unique to electricity?

Yes, the concept of negative current is unique to electricity. In other forms of energy, such as heat or sound, negative values represent a lack of that energy. However, in electricity, negative current still represents the flow of electrons, just in the opposite direction.

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