Solution Found!
long coaxial cable (Fig. 2.26) carries a uniform volume
Chapter 2, Problem 16P(choose chapter or problem)
Problem 16P
long coaxial cable (Fig. 2.26) carries a uniform volume charge density ρ on the inner cylinder (radius a), and a uniform surface charge density on the outer cylindrical shell (radius b). This surface charge is negative and is of just the right magnitude that the cable as a whole is electrically neutral. Find the electric field in each of the three regions: (i) inside the inner cylinder (s < a), (ii) between the cylinders (a < s < b), (iii) outside the cable (s > b). Plot |E| as a function of s.
Reference figure 2.26
Questions & Answers
QUESTION:
Problem 16P
long coaxial cable (Fig. 2.26) carries a uniform volume charge density ρ on the inner cylinder (radius a), and a uniform surface charge density on the outer cylindrical shell (radius b). This surface charge is negative and is of just the right magnitude that the cable as a whole is electrically neutral. Find the electric field in each of the three regions: (i) inside the inner cylinder (s < a), (ii) between the cylinders (a < s < b), (iii) outside the cable (s > b). Plot |E| as a function of s.
Reference figure 2.26
ANSWER:
Solution 16P
Step 1 of 4:
In this question, we need to find the electric field of a long coaxial cable which carried uniform volume charge density on the inner cylinder of radius a, and on surface of the outer cylindrical of radius b,
It is said the surface charge is negative ,
We are to find the electric fields in region
(i) inside the inner cylinder
(ii) between the cylinders (a<s<b)
(iii) outside the cable (s<b)
Also, plot a graph of as a function of s