Answered: hollow section 0 to R R

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hollow section 0 to R R

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter9: Statics And Torque

Section: Chapter Questions

Problem 22PE: A typical car has an axle with 1.10 cm radius driving a tire with a radius of 27.5 cm . What is its...

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Question

1. A hollow cylinder of length L, inner radius R_{1 ,}and radius R₃is filled with two different materials. From R₁to R_2,the space is filled with a material of resistivity p₁. From R₂to R₃, the space is filled with material of resistivity p₂.

a) Derive an equation for the resistance of this structure as current flows from R₁to R₃ (ALONG the radial direction, NOT along the length). Ignore edge effects.

b) If the total voltage across the object is V_o, find an expression for the current density along the objects ( i.e. find J(r)).

Take V= V_oat R₁ and V=0 at R₃

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