Will you please answer the following that can be seen in the images?

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

Will you please answer the following that can be seen in the images?

An electric charge Q is distributed uniformly along
a thick and enormously long conducting wire with
radius R and length L. Using Gauss's law, what is
the electric field at distance r perpendicular to the
wire? (Consider the cases inside and outside the
wire)
Solution
To find the electric field inside at r distance from
the wire we will use the Gauss's law which is
expressed as
We will choose a symmetric Gaussian surface,
which is the surface a cylinder excluding its ends,
then evaluate the dot product to obtain
(Eguation t)
Case 1: Inside the wire
Since, r falls inside the wire, then all the enclosed
charge must be:
On the other hand, the Gaussian surface inside
the wire is given by
Using Equation 1, the electric field in simplified
form is
Transcribed Image Text:An electric charge Q is distributed uniformly along a thick and enormously long conducting wire with radius R and length L. Using Gauss's law, what is the electric field at distance r perpendicular to the wire? (Consider the cases inside and outside the wire) Solution To find the electric field inside at r distance from the wire we will use the Gauss's law which is expressed as We will choose a symmetric Gaussian surface, which is the surface a cylinder excluding its ends, then evaluate the dot product to obtain (Eguation t) Case 1: Inside the wire Since, r falls inside the wire, then all the enclosed charge must be: On the other hand, the Gaussian surface inside the wire is given by Using Equation 1, the electric field in simplified form is
Case 2: Outside the wire
Since, r falls outside the wire, then, all the charge
must be enclosed, thus
qenc
On the other hand, the Gaussian surface outside
the wire is given by
Using Equation 1, the electric field in simplified
form is
Transcribed Image Text:Case 2: Outside the wire Since, r falls outside the wire, then, all the charge must be enclosed, thus qenc On the other hand, the Gaussian surface outside the wire is given by Using Equation 1, the electric field in simplified form is
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Dispersion of white light
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