A cylindrical conductor has resistance of R0 = 120 Ω. It has length L, radius of the cross section r, and resistivity ρ.    Part (a)  Express the resistance in terms of L, r, ρ.  R0 =   P L/π r2  This equation is incorrect      Part (b)  If the resistivity increases by a factor of 3, what would the value of the new resistance be, in ohms?  Rρ =360   Part (c)  If the resistivity was restored to its original value and instead the length of the conductor decreased by a factor of 3, what would the value of the new resistance be, in ohms?  Rl =    Part (d)  If the resistivity and length of the conductor were at their original values and the radius of the conductor increased by a factor of 6, what would be the value of the new resistance, in ohms?  Rr =

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter21: Current And Direct Current Circuits
Section: Chapter Questions
Problem 63P
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A cylindrical conductor has resistance of R0 = 120 Ω. It has length L, radius of the cross section r, and resistivity ρ.

 
 Part (a)  Express the resistance in terms of Lrρ
R0 = 
 P L/π r2 

This equation is incorrect

 

   Part (b)  If the resistivity increases by a factor of 3, what would the value of the new resistance be, in ohms? 

Rρ =360

  Part (c)  If the resistivity was restored to its original value and instead the length of the conductor decreased by a factor of 3, what would the value of the new resistance be, in ohms? 
Rl =   
Part (d)  If the resistivity and length of the conductor were at their original values and the radius of the conductor increased by a factor of 6, what would be the value of the new resistance, in ohms? 
Rr = 
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