A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius Rj - arge per unit length of 2 = 30 µC/m. The outer cylinder has radius R2 = 65 cm and carries an equal but opposite charge distribution as the inner cyl cm and carries a (a) Use Gauss' Law to write an equation for the electric field at a distance R

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question
100%

10.7 complete all parts for a thumbs-up!

A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius R = 19 cm and carries a 1
charge per unit length of 2 = 30 µC/m. The outer cylinder has radius R2= 65 cm and carries an equal but opposite charge distribution as the inner cyl:
(a) Use Gauss' Law to write an equation for the electric field at a distance R,<r<R2 from the center of the cylinders. Write your a
terms of 2, r, and en.
7
8
9.
НOME
↑^^ 4
5
d
dr
1
2
3
h
+
END
t
VO BACKSРАСЕ
CLEAR
r
DEL
(b) Calculate the electric potential difference between the outside and the inside cylinders in V.
(c) Calculate the capacitance per unit length of these concentric cylinders in F/m.
(d) Calculate the energy stored in the capacitor per unit length, in units of J/m.
(e) Write an equation for the energy density due to the electric field between the cylinders in terms of 2, r, and eo.
(f) Consider a thin cylindrical shell of thickness dr and radius R1 <r<R2 that is concentric with the cylindrical capacitor. Write an
for the total energy per unit length contained in the shell in terms of 1, r, dr, and ɛ0.
(g) Calculate the energy stored per unit length in the capacitor in units of joules per meter.
Transcribed Image Text:A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius R = 19 cm and carries a 1 charge per unit length of 2 = 30 µC/m. The outer cylinder has radius R2= 65 cm and carries an equal but opposite charge distribution as the inner cyl: (a) Use Gauss' Law to write an equation for the electric field at a distance R,<r<R2 from the center of the cylinders. Write your a terms of 2, r, and en. 7 8 9. НOME ↑^^ 4 5 d dr 1 2 3 h + END t VO BACKSРАСЕ CLEAR r DEL (b) Calculate the electric potential difference between the outside and the inside cylinders in V. (c) Calculate the capacitance per unit length of these concentric cylinders in F/m. (d) Calculate the energy stored in the capacitor per unit length, in units of J/m. (e) Write an equation for the energy density due to the electric field between the cylinders in terms of 2, r, and eo. (f) Consider a thin cylindrical shell of thickness dr and radius R1 <r<R2 that is concentric with the cylindrical capacitor. Write an for the total energy per unit length contained in the shell in terms of 1, r, dr, and ɛ0. (g) Calculate the energy stored per unit length in the capacitor in units of joules per meter.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 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.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON