Formulated by Karl Friedrich Gauss (1777-1855), a German Mathematician. Provide a means in determining the electric field or electric field intensity as produced by charge (point or distributed). Since Coulombs Law is already popular in point charges, Gauss's Law is more useful in distributed charges specially if it is symmetrically distributed in a closed system, such as charges in long wire or in a relatively infinite plane. Electric field E for uniformly distributed system Charge distribution Point of Electric Field Figure interest Charge q distributed | outside sphere; on the surface of a conducting with radius R 1 q E = r>R inside sphere: E = 0 Long wire, with uniform distribution 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
Gauss's law
Formulated by Karl Friedrich Gauss (1777-1855), a German Mathematician. Provide a means in
determining the electric field or electric field intensity as produced by charge (point or distributed). Since
Coulombs Law is already popular in point charges, Gauss's Law is more useful in distributed charges specially
if it is symmetrically distributed in a closed system, such as charges in long wire or in a relatively infinite plane.
Electric field E for uniformly distributed system
Charge distribution
Point of
Electric Field
Figure
interest
Charge q distributed
on the surface of a
conducting with
radius R
outside sphere;
r > R
1 q
E =
4T€, r²
inside sphere:
E = 0
r< R
Long wire, with
uniform distribution
at a distance r
from the wire
E =
charge per unit
length A
2nɛ, r
Infinite plane sheet,
with a charge per
at any distance
from the plate
E =
2πεο
unit area o
Two conducting
plates oppositely
charged, with
densities o and – o
at any point
between the
E =
conducting
plate
ACTIVITY:
Illustrate the following charge distribution using given parameters.
Given
Illustration
1. Charge q= 2 C distributed on the Example
surface of a conducting with radius
R= 1 cm
2. From the previous given, in long wire,
with uniform distribution charge per
unit length 1= 2 C/m
3. Infinite plane sheet, with a charge per
unit area
C
O = 2
m²
4. Two conducting plates oppositely
charged, with densities o = 2 and
C
-0 = 2
m2
a. According to your illustration, what is the difference between the first and second illustration of electric
field?
b. According to your illustration, what can you say about the electric field of the third and the fourth
parameters?
Transcribed Image Text:Gauss's law Formulated by Karl Friedrich Gauss (1777-1855), a German Mathematician. Provide a means in determining the electric field or electric field intensity as produced by charge (point or distributed). Since Coulombs Law is already popular in point charges, Gauss's Law is more useful in distributed charges specially if it is symmetrically distributed in a closed system, such as charges in long wire or in a relatively infinite plane. Electric field E for uniformly distributed system Charge distribution Point of Electric Field Figure interest Charge q distributed on the surface of a conducting with radius R outside sphere; r > R 1 q E = 4T€, r² inside sphere: E = 0 r< R Long wire, with uniform distribution at a distance r from the wire E = charge per unit length A 2nɛ, r Infinite plane sheet, with a charge per at any distance from the plate E = 2πεο unit area o Two conducting plates oppositely charged, with densities o and – o at any point between the E = conducting plate ACTIVITY: Illustrate the following charge distribution using given parameters. Given Illustration 1. Charge q= 2 C distributed on the Example surface of a conducting with radius R= 1 cm 2. From the previous given, in long wire, with uniform distribution charge per unit length 1= 2 C/m 3. Infinite plane sheet, with a charge per unit area C O = 2 m² 4. Two conducting plates oppositely charged, with densities o = 2 and C -0 = 2 m2 a. According to your illustration, what is the difference between the first and second illustration of electric field? b. According to your illustration, what can you say about the electric field of the third and the fourth parameters?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Ising model of Ferromagnets
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
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