A conducting rod with a circular cross-section (this rod is a cylinder) has a radius of 10 mm and is 2 metres long. The rod is made of aluminum, so its conductivity is 3.6 x 10' S/m. A potential difference (voltage) is applied at both ends of this rod and the current is I= 90 A. That's a lot of current! a. What is the resistance of the rod, when measured from one end to the other? b. Calculate the current density in the rod along its length. c. Determine the electric field amplitude at all locations within the rod. d. What is the electric potential difference between the two ends of the rod.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter28: Current And Resistance
Section: Chapter Questions
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A conducting rod with a circular cross-section (this rod is a cylinder) has a radius of 1o
mm and is 2 metres long. The rod is made of aluminum, so its conductivity is 3.6 x 10' s/m. A
potential difference (voltage) is applied at both ends of this rod and the current is I= 90 A.
That's a lot of current!
a. What is the resistance of the rod, when measured from one end to the other?
b. Calculate the current density in the rod along its length.
. Determine the electric field amplitude at all locations within the rod.
d. What is the electric potential difference between the two ends of the rod.
Transcribed Image Text:A conducting rod with a circular cross-section (this rod is a cylinder) has a radius of 1o mm and is 2 metres long. The rod is made of aluminum, so its conductivity is 3.6 x 10' s/m. A potential difference (voltage) is applied at both ends of this rod and the current is I= 90 A. That's a lot of current! a. What is the resistance of the rod, when measured from one end to the other? b. Calculate the current density in the rod along its length. . Determine the electric field amplitude at all locations within the rod. d. What is the electric potential difference between the two ends of the rod.
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