PA2240___Electromagnetic_Fields

Question 1

An expression for: the Electrostatic Energy Density
(Associated with an electric field E in a material with relative permittivity ε_r

Answer 1

Question 2

An expression for: the Electrostatic Energy contained within a Volume, V
(Given that E is not spatially uniform)

Answer 2

Question 3

Maxwell’s equations for a HIL Medium

Answer 3

Question 4

Using the exponential general expression for an electromagnetic wave propagating in a vacuum, give an expression for a wave:
- polarised in the z direction
- propagating in the negative y direction

Answer 4

Question 5

Reflection Coefficient for E-Field:
(For TM Waves)

Answer 5

Question 6

Reflection Coefficient:
(For TE Waves)

Answer 6

Question 7

Transmission Coefficient for E-Field:
(For TM Waves)

Answer 7

Question 8

Transmission Coefficient:
(For TE Waves)

Answer 8

Question 9

Brewster Angle Equation

Answer 9

Question 10

Reflection and Transmission Coefficient at Brewster Angle

Answer 10

Question 11

Gauss’ Law for electric fields, integral form

Answer 11

Question 12

Volume integral of del dot product of Electric field

Answer 12

Question 13

Total charge of a volume V

Answer 13

Question 14

Standard integral from dV of the phi and theta with sin(theta)

Answer 14

Question 15

Electric field
(Equation)

Answer 15

Question 16

Derivation of equation for Electric Field

Answer 16

Question 17

Gauss’ Law (differential form)

Answer 17

Question 18

“Net div of electric field is positive” meaning
(consider a small volume)

Answer 18

Implies that there is a net outward flow of electric field lines

Question 19

Differential form of the relationship between Electric field, E, and electric potential, V

Answer 19

Question 20

Velocity of wave
(In terms of mu & epsilon)

Answer 20

Question 21

Energy density in the electric fields of the wave

Answer 21

Question 22

Energy density in the magnetic fields of the wave

Answer 22

Question 23

Poynting Vector

Answer 23

Question 24

Total energy density

Answer 24

Question 25

Poynting Vector derivation

Answer 25

Question 26

Average Poynting Vector

Answer 26

Question 27

Units of Poynting Vector

Answer 27

Question 28

Wave Impedance (in Vacuum)

Answer 28

Question 29

Wave Impedance (of Medium)

Answer 29

Question 30

Incident Flux

Answer 30

Question 31

Amplitude of the Incident Poynting Vector

Answer 31

Question 32

Transmission Coefficient, in terms of Electric Field
(Transmitted & Incident)

Answer 32

Question 33

Reflection Coefficient, in terms of Electric Field
(Reflected & Incident)

Answer 33

Question 34

Physical Representation of Faraday’s Law
(In Terms of: B, E, dL, da, c, n

Answer 34

Question 35

TE Wave Diagram/ Sketch

Answer 35

Question 36

TM Wave Diagram/ Sketch

Answer 36

Question 37

Skin Depth Definition

Answer 37

Is the distance in which the amplitude falls by 0.37 (e^-1)

Question 38

Skin Depth Equation

Answer 38

Question 39

Electric Field equation to use with skin depth and “thickness of shield wall of box”

Answer 39

Question 40

Checking for Conservation of Energy at the Interface

Answer 40

R + T = 1