Find resistance of copper wire.

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SUMMARY

The resistance of a 1.4 m length of copper wire with a diameter of 5 x 10-3 m is calculated using the formula R = ρ(L/A), where ρ is the resistivity of copper (1.69 x 10-8 Ω·m), L is the length, and A is the cross-sectional area. The area A is determined to be approximately 1.96 x 10-5 m2 using the radius of 2.5 x 10-3 m. Substituting these values into the equation yields a resistance of 1.2 x 10-3 Ω. The initial confusion regarding the answer was due to a faulty database in the online quiz.

PREREQUISITES
  • Understanding of electrical resistance and Ohm's Law
  • Knowledge of the formula R = ρ(L/A)
  • Familiarity with calculating the area of a circle
  • Basic knowledge of the properties of copper as a conductor
NEXT STEPS
  • Study the properties of different materials and their resistivities
  • Learn about the impact of wire diameter on resistance
  • Explore advanced topics in electrical circuits, such as series and parallel resistance
  • Investigate the effects of temperature on the resistivity of materials
USEFUL FOR

Students in physics or electrical engineering, educators teaching resistance concepts, and anyone involved in practical applications of electrical circuits.

Spoonerz
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Homework Statement


Find the resistance of a 1.4 m length of copper wire with diameter of 5*10^-3 m.

Homework Equations


R = p(L/A) where p = resistivity of copper, L = length, A = area

The Attempt at a Solution


The resistivity of copper is (1.69 * 10^-8). Radius is d/2 (5*10^-3) / (2) = (2.5*10^-3)
With the radius, the Area A = pi(2.5*10^-3)^2 = (1.96*10^-5).

Plugging it into the equation R = p(L/A)
(1.69*10^-8)*(1.4) / (1.96*10^-5) = (1.2*10^-3) Ohm

There were two similar questions like this where the same approach yield me the correct answer. Somehow this answer I get is incorrect. What am I doing wrong?

On a side note, how many questions may I post?
 
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Spoonerz said:
Plugging it into the equation R = p(L/A)
(1.69*10^-8)*(1.4) / (1.96*10^-5) = (1.2*10^-3) Ohm

1.2*10^-3 Ohm is the correct answer after all. It was just the faulty database in the online quiz. =D
 
Spoonerz said:
1.2*10^-3 Ohm is the correct answer after all. It was just the faulty database in the online quiz. =D

Ouch, that hurts! Glad you got it sorted out.
 

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