Physics – 4.2.4 Resistance | e-Consult
4.2.4 Resistance (1 questions)
Login to see all questions.
Click on a question to view the answer
Solution:
- Calculate the cross-sectional area: The cross-sectional area (A) of a circle is given by A = πr2, where r is the radius. The radius is half the diameter, so r = 0.25 mm = 0.00025 m. Therefore, A = π(0.00025 m)2 = 1.9635 x 10-7 m2.
- Apply the resistance formula: R = ρL/A, where ρ is the resistivity, L is the length, and A is the cross-sectional area. Substituting the given values: R = (1.6 x 10-8 Ωm)(2.0 m) / (1.9635 x 10-7 m2) = 0.164 Ω.
Answer: The resistance of the wire is 0.164 Ω.