Purchase Solution

Polarization and bound charge

Not what you're looking for?

Ask Custom Question

A slab of material has parallel faces, one coincides with the xy plane while the other is given by z=t
The material has non-uniform polarization P = P(1+a*z) in the z direction.
Find teh volume and surface bound charge densities. Find the total bound charge in a cylinder of teh material of cross section A and sides parallel to the z-axis.

see attached file.

Attachments
Purchase this Solution
Solution Summary

The solution shows how to calculate the bound charge densities using the polarization vector.

Solution Preview

The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.

The surface bound charge density is given by:

While the volume bound charge density is given by:

In our case, the ...

Purchase this Solution
Free BrainMass Quizzes
Basic Physics

This quiz will test your knowledge about basic Physics.

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.

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.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

View More Free Quizzes
Related BrainMass Solutions

  • Conductors and Dielectrics

    24897 Conductors and Dielectrics a. A piece of plexiglass (k = 3.2) is placed above an infinite plane of charge with charge density sigma = 0.1 uC/m^2. Compute the bound charge on the bottom surface of the dielectric. Be careful of the sign. b.

  • Dielectrics and Infinite Electric Cylinders

    The polarization is: Thus, the bound surface charge density is: And the bound volume charge density is (using cylindrical coordinates): Gauss law states that: Our Gauss surface is a concentric cylinder of length L and radius

  • Electromagnetism & optics

    Since the polarization is constant within the dielectric, the bound volume polarization charge density is zero throughout the dielectric.

  • Electricity & Magnetism Qualitative Problems

    If however we do imagine magnetic charge, the monopole field will only have scalar potential and its vector potential would still be 0. 4) Surface polarization charges (aka, bound surface charges) versus volume polarization charges (aka, bound volume

  • Electric field and bounded charges on dielectric surfaces.

    Find the volume and surface bound charge densities Please see the attached file. A uniformly charged straight wire of radius a carries linear charge density( lambda).

  • Model of dielectric with frequency dependent dielectric cons

    induced dipole moment of the bound charge in a small volume V(r) in the neighbourhood of r, i.e P(r,t) = (1/V(r))j pj(t) In a simple model for a linear dielectric we make the assumption that there are N charged particles (with mass m and charge

  • Maxwell's Equation for Static Electric and Magnetic Fields

    (x) Find an expression for the polarization vector, P. (xi) Find the volume density of bound charge. (xii) Find the volume density of free charge. Please see the attachment.

  • Electrostatics: Solving for E and the Empty Set

    Find the volume and surface densities of bound charge. Find E outside and inside the sphere. Verify that your results for E satisfy the appropriate boundary conditions. Find the empty set outside and inside the sphere.

  • Volume Charge Density and Non-Uniform Polarization

    180943 Volume Charge Density and Non-Uniform Polarization Obtain an expression for the volume charge density ρ(r) associated with a non-uniform polarization P(r) in a dielectric material.

View More Related Solutions