22.41 A very long, solid cylinder with radius R has positive charge uniformly distributed throughout it, with charge per unit volume p. (a) Derive the expression for the electric field inside the volume at a distance r from the axis of the cylinder in terms of the charge density p. (b) What is the electric field at a point outside the volume in terms of the charge per unit length A in the cylinder? (c) Compare the answers to parts (a) and (b) forr = R. (d) Graph the electric-field magnitude as a function of r from 3R. r= 0 to r =

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter25: Gauss’s Law
Section: Chapter Questions
Problem 48PQ
icon
Related questions
Question

(Question in image)

Hint:To check your answers to parts (a) and (b), a correct answer to part (c) should allow you to further write ρ = Q /LπR2, where Q is the total charge on the cylinder and L is the length of the cylinder.

22.41 A very long, solid cylinder with radius R has positive
charge uniformly distributed throughout it, with charge per unit
volume p. (a) Derive the expression for the electric field inside
the volume at a distance r from the axis of the cylinder in terms
of the charge density p. (b) What is the electric field at a point
outside the volume in terms of the charge per unit length A in the
cylinder? (c) Compare the answers to parts (a) and (b) forr = R.
(d) Graph the electric-field magnitude as a function of r from
3R.
r= 0 to r =
Transcribed Image Text:22.41 A very long, solid cylinder with radius R has positive charge uniformly distributed throughout it, with charge per unit volume p. (a) Derive the expression for the electric field inside the volume at a distance r from the axis of the cylinder in terms of the charge density p. (b) What is the electric field at a point outside the volume in terms of the charge per unit length A in the cylinder? (c) Compare the answers to parts (a) and (b) forr = R. (d) Graph the electric-field magnitude as a function of r from 3R. r= 0 to r =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Knowledge Booster
Electric field
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning