520.219 Fields, Matter, and Waves
Fall 2013
Homework #6 Capacitance, Poissons and Laplaces Equation
Due:
Reading:
At the beginning of class on Monday, Nov. 11
Engineering Electromagnetics Chapter 6
Problem 1:
A parallel plate capacitor is formed by two me
Electric Dipole
1) Sketch what you think the streamlines look like.
2) Find the electric field for a point on the z-axis
(x=0, y=0, z=z) for two charges separated by a distance d.
z
-Q
+Q
3) What happens as z > d?
Dipole Ring
Consider a ring (diameter = d
520.219 Fields, Matter, and Waves
Fall 2013
Homework #1 Vector Analysis
Due:
Reading:
At the beginning of class on Monday, Sept. 16
Engineering Electromagnetics Chapter 1
Problem 1:
Using the following vectors,
Compute:
A)
B)
)
C) (
)(
D) (
E)
(
)
(
)
)
(
520.219 Fields, Matter, and Waves
Fall 2013
Homework #2 Coulombs Law and the Electric Field
Due:
Reading:
At the beginning of class on Wednesday, Sept. 25
Engineering Electromagnetics Chapter 2
Problem 1:
As shown in class, the electric field from a singl
520.219 Fields, Matter, and Waves
Fall 2013
Homework #3 Electric Flux Density and Gausss Law
Due:
Reading:
At the beginning of class on Wednesday, Oct. 2
Engineering Electromagnetics Chapter 3
Problem 1:
Consider an infinite hollow cylindrical shell of ra
Cylindrical
Useful Relationships
,
,
| |
,
( )
,
,
Field from a point charge
,
0
0
0
1
0
(
Coulombs law
Field from a line charge
,
Field from a sheet charge
,
Displacement field in free space
)
,
, Gausss law
Point form of Gausss law
(Maxwells First Equat
Cylindrical
Useful Relationships
,
,
| |
,
( )
,
Coulombs law (free space)
,
Field from a point charge (free
space)
0
0
0
1
0
(
,
Displacement field
, Gausss law
,
)
Point form of Gausss law
, Work
(
,
)
,
Potential gradient
Spherical
,
,
,
( ),
,
,
,
Ene
520.219 Fields, Matter, and Waves
Fall 2013
Homework #4 Energy and the Electric Potential Field
Due:
Reading:
At the beginning of class on Monday, Oct. 21
Engineering Electromagnetics Chapter 4
Problem 1:
A metal sphere 1 m in diameter is charged to a tot
Vector Triple Products
can be simplified to something of the form
? ? ? ? , solve this identity.
What is ?
Vector Fields
The gravitational force magnitude is given by =
What is the vector gravitational field of m1?
=
Find the component of H in the z dire
520.219 Fields, Matter, and Waves
Fall 2013
Homework #5 Conductors and Dielectrics
Due:
Reading:
At the beginning of class on Wednesday, Oct. 30
Engineering Electromagnetics Chapter 5
Problem 1:
Consider an electron beam of uniform circular cross-section
520.219 Fields, Matter, and Waves
Fall 2013
Homework #7 Steady Magnetic Fields
Due:
Reading:
before Monday, Dec. 9 (Hand in to my office, Barton 320)
Engineering Electromagnetics Chapter 7
Problem 1: (Biot-Savart Law)
A) A circular conducting filament of