HW84_6 - is forced to be zero. An infinitesimal dipole is...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Electromagnetics School of Electrical and Computer Engineering University of Tehran Homework 6 Fall Semester 1384 Due 84/9/21 Problem 1 a) Explain why the magnetic susceptibility of a diamagnetic material is negative. b) Explain why the magnetic susceptibility of diamagnetic materials is independent of temperature. c) A sample of an unknown magnetic material is available. Devise a technique to determine whether this material is diamagnetic or paramagnetic. Problem 2 Assume that the plane 0 = z is a conducting plate of infinite extent. It is kept at zero voltage. The region 0 > z is free space. A point charge q is located at ) , 0 , 0 ( h with 0 > h . Denote the surface charge induced on the conducting plate by ) , ( y x s ρ . a) Determine ) , ( y x s . b) Using the obtained ) , ( y x s , show mathematically that ∫∫ = q dxdy y x s ) , ( . c) Repeat (a) and (b) when the region 0 > z is filled with a dielectric of susceptibility χ . Problem 3 Plane 0 = z is a conducting plate of infinite dimensions. The plate is grounded, i.e., its potential
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: is forced to be zero. An infinitesimal dipole is located above the plane at ) , , ( h with > h . At the observation point r r , obtain the electric potential produced by the dipole a) when its dipole moment is z p p o ˆ = r , and b) when its dipole moment is x p p o ˆ = r . c) Simplify the above results when r h r << . Problem 4 Assume two grounded infinite copper plates located at h z − = and h z = with > h . A point charge q is located at ) , , ( . Find the location and value of image charges for this configuration. What is the total charge induced on each plate? Problem 5 Suppose that the half space ≤ z is occupied by a dielectric material the susceptibility of which is χ . The upper half space > z is free space. A surface charge having a constant density of s ρ is positioned at the plane h z = in the upper half space. Determine the polarization vector in the lower half space. M. Shahabadi...
View Full Document

Page1 / 2

HW84_6 - is forced to be zero. An infinitesimal dipole is...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online