Electromagnetic Plane Waves

Overview - Lesson 1

What is a Plane Wave? - Lesson 2

Intrinsic Impedance of Plane Waves - Lesson 3

Plane Wave Propagation in a Dielectric - Lesson 4

Polarization of Electromagnetic Waves - Lesson 5

Linear Polarization - Lesson 6

Circular Polarization - Lesson 7

Elliptical Polarization - Lesson 8

Incidence on a Dielectric Boundary: Introduction - Lesson 9

Normal Incidence on a Dielectric Boundary - Lesson 10

Snell's Law and Critical Angle - Lesson 11

Oblique Incidence on a Dielectric Boundary - Lesson 12

Electromagnetic Power and Poynting - Lesson 13

Summary - Lesson 14

Examples, Homeworks, and Quizzes

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Quiz - Electromagnetic Plane Waves

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Quiz - Electromagnetic Plane Waves

Electromagnetic Plane Waves Examples, Homeworks, and Quizzes Quiz - Electromagnetic Plane Waves

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Question 1 of 11

1. Question
True or False: The electric and magnetic fields of a plane wave are always perpendicular to each other
- True
- False
Correct

Incorrect
Question 2 of 11

2. Question
True or False: Given the electric field of a TEM wave propagating in free space, the magnetic field can be found
- True
- False
Correct

Incorrect
Question 3 of 11

3. Question
True or False: The complex propagation constant cannot be found using only the operating frequency, complex permittivity, and complex permeability
- True
- False
Correct

Incorrect
Question 4 of 11

4. Question
True or False: The Poynting vector points in the direction of the electric field
- True
- False
Correct

Incorrect
Question 5 of 11

5. Question
Given a TEM wave with the direction of propagation in the +x direction and the electric field in the -z direction, in which direction is the magnetic field?
- +x
- -x
- +y
- -y
- +z
- -z
Correct

Incorrect
Question 6 of 11

6. Question
Which of the following is NOT a valid polarization for a plane wave?
- Linear
- Exponential
- Quadratic
- Circular
- Spherical
- Elliptical
Correct

Incorrect
Question 7 of 11

7. Question
A plane wave having an electric field given by $\overline{E}=E_x cos(\omega t - \beta y)\hat{a}_x$ $ $ has which of the following categories of polarization?
- Linear
- Circular
- Elliptical
Correct

Incorrect
Question 8 of 11

8. Question
Given a TEM wave traveling in free space with the electric field given below, what is the magnetic field?

$\overline{E}=E_0e^{-kz}\hat{a}_y$
- $\overline{H}=\eta E_0 e^{-kz}\hat{a}_y$
- $\overline{H}=-\eta E_0 e^{-kz}\hat{a}_x$
- $\overline{H}= \frac{-E_0}{\eta} e^{-kz}\hat{a}_x$
- $\overline{H}= \frac{E_0}{\eta} e^{-kz}\hat{a}_y$
Correct

Incorrect
Question 9 of 11

9. Question
If a plane wave in free space intersects a second medium with a relative permittivity and permeability of $\epsilon_2=2$ and $\mu_2=3$ , what is the intrinsic impedance of the second medium?
- 461 Ω
- 377 Ω
- 429 Ω
- 255 Ω
Correct

Incorrect
Question 10 of 11

10. Question
Given a plane wave in free space intersects at an angle of incidence of 40 degrees with a medium with a relative permittivity and permeability of$\epsilon_2=2$ and $\mu_2=3$ , what is the transmission coefficient of the intersection?
- 0.101
- 0.986
- 0.762
- 0.422
Correct

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Question 11 of 11

11. Question
If a plane wave has an electric field given by $\overline{E}=E_x e^{-j\beta z}\hat{a}_x$ , what is its Poynting vector?
- $\overline{S}=2 E_x e^{-j \beta z}\hat{a}_z$
- $\overline{S}=\frac{E_x}{\eta}e^{-j \beta z}\hat{a}_z$
- $\overline{S}=\frac{E_x^2}{\eta}e^{-j \beta z}\hat{a}_y$
- $\overline{S}=\frac{E_x^2}{\eta}e^{-j \beta z}\hat{a}_z$
Correct

Incorrect