# Dielectrics and Infinite Electric Cylinders

Not what you're looking for?

1. The space between the spaces of a parallel plate capacitor is filled with two slabs of linear dielectric material. The slabs have different dielectric constants but the same length L, width W and thickness d. (note the area of the top (or bottom) of the capacitor is 2*L*W). Slab 1 has a dielectric constant of e1=2 and slab 2 has a dielectric constant of e2=1.5. The voltage on the top plate is Vo and the bottom plate is grounded.

a) What is the electric Field E in each slab?

b) What is the Dielectric displacement D in each slab?

c) What is the polarization P in each slab?

d) What is the magnitude of Sf, the free surface charge adjacent to each slab?

e) What is the magnitude of Sb, the bound surface charge density in each slab?

f) What is the magnitude of Vb, bound volume charge density in each slab?

g) What is the capacitance of the system and how does it compare to the capacitance of the system with no dielectrics?

See the attachment for an illustration.

2) We have an infinite electric cylinder of radius R that has a polarization

Pbar=kr^2 rhat (a vector)

a) What is the bound volume density in the body of the cylinder

b) What is the bound surface density at r=R

c) Use Gauss' Law to find the electric field inside and outside the cylinder

d) Use a releationship between

E, D, and P to find the electric fields without using Gauss' Law.

##### Purchase this Solution

##### Solution Summary

This solution discusses dielectrics and polarized infinite electric cylinders.

##### Solution Preview

Please see the attachments for the solution.

The space between the spaces of a parallel plate capacitor is filled with two slabs of linear dielectric material. The slabs have different dielectric constants but the same length L, width W and thickness d. (note the area of the top (or bottom) of the capacitor is 2*L*W). Slab I has a dielectric constant of and slab II has a dielectric constant . The voltage on the top plate is V0 and the bottom plate is grounded.

a) What is the electric Field E in each Slab

b) What is the Dielectric displacement D in each slab

c) What is the polarization P in each slab

d) What is the magnitude of , the free surface charge adjacent to each slab

e) What is the magnitude of , the bound surface charge density in each slab

f) What is the magnitude of , bound volume charge density in each ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

##### Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

##### Basic Physics

This quiz will test your knowledge about basic Physics.

##### The Moon

Test your knowledge of moon phases and movement.