Electrical induction and electric field in sphere

Click For Summary
SUMMARY

This discussion focuses on calculating electric induction D(r) and electric field E(r) within a hollow dielectric sphere created by a charge q. The sphere has an outer radius R1 of 5 cm and an inner radius R2 of 2 cm, with a dielectric constant εa equal to 2ε0. The key method for these calculations involves applying Gauss's law in dielectric materials to determine D(r) throughout the space and subsequently finding E(r) by dividing D(r) by ε(r). Special attention is given to the impact of the hollow section on these calculations.

PREREQUISITES
  • Understanding of Gauss's law in dielectric materials
  • Familiarity with electric induction and electric field concepts
  • Knowledge of dielectric constants and their significance
  • Ability to interpret and create graphical representations of electric fields
NEXT STEPS
  • Study the application of Gauss's law in various dielectric configurations
  • Learn how to calculate electric fields in hollow spheres
  • Explore the relationship between electric induction and electric field in dielectrics
  • Investigate graphical methods for visualizing electric fields and inductions
USEFUL FOR

Students and professionals in physics, electrical engineering, and anyone involved in studying electrostatics and dielectric materials.

Fizikas
Messages
5
Reaction score
0
Can you get me on tracks with this assignment?

1. Find out and show in graphs electric induction D(r) and electric field E(r) if the field is created by a charge q, which is even in a hollow dielectric sphere. R1=2 cm, R1=5 cm, εa=2ε0So i have a sphere which outter shell is made from dielectric, so i need to calculate eletctric induction only in dielectric sphere? This sphere R would be like R=R1-R2.

and how to find electric field?

Tha main problem is how to calculate with the hole in the dielectric sphere, does it make any differeces?
 
Physics news on Phys.org
Calculate the induction D(r) anywhere in the space by Gauss's law in dielectric, and find E(r) by dividing ε(r)
 

Similar threads

Electric field of a charged dielectric sphere
  • · Replies 37 ·
2
Replies
37
Views
13K
[Griffiths ex4.2] Electric field of a uniformly polarized sphere
  • · Replies 4 ·
Replies
4
Views
5K
Potential difference defined in non-conservative electric field
  • · Replies 12 ·
Replies
12
Views
2K
Conductor sphere floating on a dielectric fluid
  • · Replies 1 ·
Replies
1
Views
4K
Electric field of a spherical conductor with a dipole in the center
  • · Replies 4 ·
Replies
4
Views
5K
Can the Sphere of Radius 'a' Be Modeled as a Point Particle?
  • · Replies 2 ·
Replies
2
Views
4K
Potential of sphere in electric field
  • · Replies 1 ·
Replies
1
Views
2K
Why is the Electric Field of a Polarized Atom Different in Textbooks?
  • · Replies 2 ·
Replies
2
Views
2K
Wire surrounded by a linear dielectric in a uniform E field
  • · Replies 1 ·
Replies
1
Views
2K
Magnetization of a paramagnetic sphere
  • · Replies 11 ·
Replies
11
Views
2K