A rod of semiconducting material of Length L=5 m and cross-sectional area A=3 mm2 lies along the x-axis between x=0 and x=L. The material obeys ohm’s Law, and its resistivity varies along the rod according to ρ = ρ0*( 1 - x2/L2) where ρ0=4.5 x 10-4 Ω.m. The end of the rod at x=0 is at potential V0=25 V greater than the end at x=L. What is the total resistance, in units of Ω, of the rod?What is the current, in units of miliamperes, in the rod?What is the electric potential, in units of volt, in the rod at x=L/2?

Given data: The length of the semiconducting material is, L= 5 m The cross-sectional area of the…

Answered: A rod of semiconducting material of…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: Current And Direct Current Circuits

Section: Chapter Questions

Problem 63P

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A rod of semiconducting material of Length L=5 m and cross-sectional area A=3 mm²lies along the x-axis between x=0 and x=L. The material obeys ohm’s Law, and its resistivity varies along the rod according to ρ = ρ₀*( 1 - x²/L²) where ρ₀=4.5 x 10^-4 Ω.m. The end of the rod at x=0 is at potential V₀=25 V greater than the end at x=L.

What is the total resistance, in units of Ω, of the rod?

What is the current, in units of miliamperes, in the rod?

What is the electric potential, in units of volt, in the rod at x=L/2?

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