A plane Electromagnetic wave traveling in the x-direction is of the formE(x,t) = Emax cos(kx –ωt + ϕ)B(x,t) = Bmax cos(kx – ωt + ϕ)What do E and B stand for in the above expression?

In the electromagnetic wave, E is the electric field vector and B is the magnetic current

In the electromagnetic wave, E is the current vector and B is the magnetic field vector.

In the electromagnetic wave, E is the current vector and B is the current fiend vector.

In the electromagnetic wave, E is the electric field vector and B is the magnetic field vector.

In the electromagnetic wave, E is the electric field vector and B is the magnetic current

Any electromagnetic disturbance is bound to travel at a velocity of

\(\frac{1}{{\sqrt {{\mu _0}{\varepsilon _0}} }}\)

\(\frac{1}{{{\mu _0}{\varepsilon _0}}}\)

\(\frac{1}{{\sqrt {\mu \varepsilon } }}\)

Direction: Question consists of two statements, one labeled as the 'Assertion (A)' and the other as 'Reason (R)'. Examine these two statements carefully and select the answer to this question using the codes given below:Assertion (A): The velocity of light in any medium is slower than that of vacuum.Reason (R): The dielectric constant of the vacuum is unity and is lesser than that of any other medium.

Both A and R are individually true but R is not the correct explanation of A

Both A and R are individually true and R is the correct explanation of A

Both A and R are individually true but R is not the correct explanation of A

Ez ≠ 0 and Hz ≠ 0 represent which type of mode of propagation of microwaves?

Transverse Electromagnetic Waves

Polarization is characteristic of EM wave that gives the direction of

Magnetic component of EM wave with respect to ground

Electrical component of a wave with respect to ground

Magnetic component of EM wave with respect to ground

Both electrical and magnetic components with respect to ground

For a good conductor, the depth of penetration of electromagnetic wave is given by:

\(\delta = {\left[ {\frac{1}{{\omega \sigma \mu }}} \right]^{\frac{1}{2}}}\)

\(\delta = {\left[ {\frac{2}{{\omega \sigma \mu }}} \right]^{\frac{1}{2}}}\)

\(\delta = {\left[ {\frac{1}{{\omega \sigma \mu }}} \right]^{\frac{1}{2}}}\)

\(\delta = {\left[ {\frac{2}{{\omega \sigma^2 \mu }}} \right]^{\frac{1}{2}}}\)

\(\delta = {\left[ {\frac{2}{{\omega \sigma }}} \right]^{\frac{1}{2}}}\)

An electromagnetic wave of frequency 3 MHz passes from vacuum into a dielectric medium with permittivity c = 4.0. Then

Both the wavelength and frequency remain unchanged

Wavelength is doubled and the frequency remains unchanged

Wavelength is doubled and the frequency becomes half

Wavelength is halved and the frequency remains unchanged

Both the wavelength and frequency remain unchanged

If E = 4 V/m in free space, H will be:

\(\frac{1}{{\left( {60\pi } \right)}} A/m\)

\(\frac{1}{{\left( {30\pi } \right)}}A/m\)

A monochromatic plane wave of wavelength 500 μm is propagating in the direction as shown in the figure below. \(\mathop {{E_i}}\limits^ \to \), \(\mathop {{E_r}}\limits^ \to \) and \(\mathop {{E_t}}\limits^ \to \) denotes incident,reflected and transmitted electric field vectors associate with the wave.The expression for \(\mathop {{E_i}}\limits^ \to \) and \(\mathop {{E_r}}\limits^ \to \) are

\(\frac{{{E_0}}}{{\sqrt 2 }}\,\left( {{{\hat a}_x} - {{\hat a}_y}} \right){e^{ - j\frac{{2\pi \times {{10}^4}\left( {x + y} \right)}}{{5\sqrt 2 }}}}V/m\) and \( - 0.10\frac{{{E_0}}}{{\sqrt 2 }}\,\left( {{{\hat a}_x} + {{\hat a}_y}} \right){e^{ - j\frac{{2\pi \times {{10}^4}\left( {x - y} \right)}}{{5\sqrt 2 }}}}V/m\)

\(\frac{{{E_0}}}{{\sqrt 2 }}\,\left( {{{\hat a}_x} - {{\hat a}_y}} \right){e^{ - j\frac{{2\pi \times {{10}^4}\left( {x + y} \right)}}{{5\sqrt 2 }}}}V/m\) and \(0.10\frac{{{E_0}}}{{\sqrt 2 }}\,\left( {{{\hat a}_x} + {{\hat a}_y}} \right){e^{ - j\frac{{2\pi \times {{10}^4}\left( {x - y} \right)}}{{5\sqrt 2 }}}}V/m\)

\(\frac{{{E_0}}}{{\sqrt 2 }}\,\left( {{{\hat a}_x} - {{\hat a}_y}} \right){e^{ - j\frac{{2\pi \times {{10}^4}\left( {x + y} \right)}}{{5\sqrt 2 }}}}V/m\) and \( - 0.10\frac{{{E_0}}}{{\sqrt 2 }}\,\left( {{{\hat a}_x} + {{\hat a}_y}} \right){e^{ - j\frac{{2\pi \times {{10}^4}\left( {x - y} \right)}}{{5\sqrt 2 }}}}V/m\)

\(\frac{{{E_0}}}{{\sqrt 2 }}\,\left( {{{\hat a}_x} + {{\hat a}_y}} \right){e^{ - j\frac{{2\pi \times {{10}^4}\left( {x - y} \right)}}{{5\sqrt 2 }}}}V/m\) and \(\frac{{{E_0}}}{{\sqrt 2 }}\,\left( {{{\hat a}_x} - {{\hat a}_y}} \right){e^{ - j\frac{{2\pi \times {{10}^4}\left( {x + y} \right)}}{{5\sqrt 2 }}}}V/m\)

\(\frac{{{E_0}}}{{\sqrt 2 }}\,\left( {{{\hat a}_x} - {{\hat a}_y}} \right){e^{ - j\frac{{2\pi \times {{10}^4}\left( {x + y} \right)}}{{5\sqrt 2 }}}}V/m\) and \(\frac{{{E_0}}}{{\sqrt 2 }}\,\left( {{{\hat a}_x} + {{\hat a}_y}} \right){e^{ - j\frac{{2\pi \times {{10}^4}\left( {x - y} \right)}}{{5\sqrt 2 }}}}V/m\)

Directions: Each of the given items consist of two statements, one labeled as the ‘Statement (I)’ and the other as ‘Statement (II)’. Examine these two statements carefully and select the answers to these items using the codes given below:Statement (1): Space wave is used for propagation of the FM broadcast system.Statement (II): Several independent interference-free transmitters can be operated on the same frequency because of line-of-sight propagation.Codes:

Statement (I) is true but Statement (II) is false.

Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I).

Both Statement (I) and Statement (II) are individually true but Statement (II) is mot the correct explanation of Statement (I).

Statement (I) is true but Statement (II) is false.

Statement (I) is false but Statement (II) is true.

Directions: It consists of two statements, one labeled as the ‘Statement (I)’ and the other as ‘Statement (II)’. Examine these two statements carefully and select the answers to these items using the codes given below:Statement (I): At 50 Hz the depth of penetration is 8.5 mm. At 30 GHz the depth of penetration is 0.00038 mm.Statement (II): A high-frequency field attenuates as it penetrates conduction in a shorter distance than a low frequency field.

Both Statement (I) and Statement (II) are individually true but Statement (II) is not the correct explanation of Statement (I)

Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I)

Both Statement (I) and Statement (II) are individually true but Statement (II) is not the correct explanation of Statement (I)

Statement (I) is true but Statement (II) is false

Statement (I) is false but Statement (II) is true

An electromagnetic wave is transmitted into a conducting medium of conductivity σ. The depth of penetration is

directly proportional to the frequency

directly proportional to the square root of frequency

inversely proportional to the frequency

inversely proportional to the square root of frequency

39 + Mcqs in Electromagnetic Wave Propagation in Electromagnetic Theory Page 1 McqOptions

1.	Ground waves progress along the surface of the earth and must be polarized
A.	horizontally
B.	circularly
C.	elliptically
D.	vertically
Answer» E.

2.	A transverse electromagnetic wave with circular polarization is received by a dipole antenna due to polarization mismatch. The power transfer efficiency from the wave to the antenna is reduced to about
A.	50%
B.	35.5%
C.	25%
D.	0%
Answer» E.

3.	Intrinsic impedance of free space is:
A.	75 Ω
B.	73 Ω
C.	120 Ω
D.	377 Ω
Answer» E.

5.	A non-magnetic lossy dielectric material with relative permittivity εr = 2.25 and conductivity σ = 10-4 mho/m is applied with electromagnetic wave of 2.5 MHz. What is the loss tangent?
A.	0.32
B.	3.13
C.	11.11
D.	None of the above
Answer» B. 3.13

6.	Any electromagnetic disturbance is bound to travel at a velocity of
A.	Velocity of light in vacuum
B.	\(\frac{1}{{\sqrt {{\mu _0}{\varepsilon _0}} }}\)
C.	\(\frac{1}{{{\mu _0}{\varepsilon _0}}}\)
D.	\(\frac{1}{{\sqrt {\mu \varepsilon } }}\)
Answer» E.

7.	If frequency is decreased 4 times, then skin depth of an Electromagnetic wave inside a conductor will be:
A.	halved
B.	quadrupled
C.	doubled
D.	no change
Answer» D. no change

8.	Brewster angle is the angle when a wave is incident on the surface of a perfect dielectric at which there is no reflected wave and the incident wave is
A.	parallely polarized
B.	Perpendicularly polarized
C.	normally polarized
D.	None of the above
Answer» B. Perpendicularly polarized

10.	If the pointing vector or power density of TEM wave is 79.6 W/m2 in a loss less medium (σ = 0) with ϵr = 4, then the magnitude of Electric field is
A.	86.62 V m-1
B.	173.23 V m-1
C.	122.5 V m-1
D.	43.30 V m-1
Answer» D. 43.30 V m-1

11.	A plane wave in free space has a magnetic field intensity of 0.2 A/m in the Y-direction. The wave is propagating in the Z-direction with a frequency of 3 GHz. The wavelength and amplitude of the electric field intensity are, respectively:
A.	0.05 m and 75 V/m
B.	0.10 m and 75 V/m
C.	0.05 m and 150 V/m
D.	0.10 m and 150 V/m
Answer» C. 0.05 m and 150 V/m

12.	A linearly polarized plane wave traveling is x-direction with ‘E’ in the y-direction can be represented as:\(-\frac{\partial {{H}_{z}}}{\partial x}=\sigma {{E}_{y}}+j\omega \epsilon {{E}_{y}}\)The following statements are given for the above equation(a) It is scalar phasor equation.(b) σEy represents the displacement current density.(c) jωϵEy represents conduction current density.(d) If σ ≠ 0 and the displacement current is much greater than conduction current, the medium behaves like an imperfect dielectric.Choose the correct option:
A.	both (a) and (b) are correct
B.	both (a) and (d) are correct
C.	both (b) and (c) are correct
D.	both (b) and (d) are correct
Answer» C. both (b) and (c) are correct

13.	A 10 GHz plane wave travelling in free space has amplitude of 15 V/m. The propagation coefficient β is
A.	209.4 rad/m
B.	173.6 rad/m
C.	543.5 rad/m
D.	3.97 × 10-2 rad/m
Answer» B. 173.6 rad/m

14.	Microwaves have frequency range of
A.	10 GHz to 30 Ghz
B.	1 Mhz to 100 Mhz
C.	1 GHz to 30 GHz
D.	1 GHz to 300 GHz
Answer» E.

21.	Input impedance of a short-circuited lossless line with length λ/ 4 is
A.	Z0
B.	Zero
C.	One
D.	Infinity
Answer» E.

24.	For a wave travelling in negative Z direction the value of Ey/Hx is:
A.	η
B.	-η
C.	1/η
D.	1/-η
Answer» B. -η

26.	In electromagnetic spectrum visible light lies in between
A.	X-rays and UV
B.	Infrared and microwave
C.	Microwaves and radio waves
D.	UV and infrared
Answer» E.

15.	Ez ≠ 0 and Hz ≠ 0 represent which type of mode of propagation of microwaves?
A.	Transverse Magnetic Waves
B.	Transverse Electric Waves
C.	Hybrid Waves
D.	Transverse Electromagnetic Waves
Answer» D. Transverse Electromagnetic Waves

16.	A loss less transmission line segment has characteristic impedance Z0 = 100Ω and electromagnetic wave propagation velocity in the transmission line v = 0.8 times velocity of light in vacuum. The frequency of the electromagnetic wave transmitted is 100 MHz. The phase constant is β and βl = π rad, then what is the length of the transmission line segment l?
A.	24 m
B.	\(\frac{{12\pi }}{{10}}\;m\)
C.	\(\frac{{10\pi }}{{12}}\;m\)
D.	1.2 m
Answer» E.

18.	Consider the following properties of electromagnetic waves:1. These waves do not require any material medium to propagate2. Both electric and magnetic field vectors are parallel to each other and perpendicular to the direction of propagation of waves3. The energy in electromagnetic wave is divided equally between electric and magnetic vectors4. Both electric and magnetic field vectors attain the maxima and minima at the same place and same timeWhich of the above properties of electromagnetic waves are correct?
A.	1, 2 and 3 only
B.	1, 3 and 4 only
C.	2, 3 and 4 only
D.	1, 2, 3 and 4
Answer» C. 2, 3 and 4 only

19.	A 50 MHz uniform plane wave is propagating in a material with relative permeability and relative permittivity as 2.25 and 1 respectively. The material is assumed to be loss less. Find the phase constant of the wave propagation
A.	π rad/m
B.	\(\frac{\pi }{4}rad/m\)
C.	\(\frac{\pi }{2}rad/m\)
D.	2π rad/m
Answer» D. 2π rad/m

23.	If E = 4 V/m in free space, H will be:
A.	30π A/m
B.	60π A/m
C.	\(\frac{1}{{\left( {60\pi } \right)}} A/m\)
D.	\(\frac{1}{{\left( {30\pi } \right)}}A/m\)
Answer» E.

27.	A lossless transmission line has a characteristic impedance of Z0 and capacitance per unit length of C. The velocity of propagation of the travelling wave on the line is
A.	Z0C
B.	\(\frac{1}{{{Z_0}C}}\)
C.	\(\frac{{{Z_0}}}{C}\)
D.	\(\frac{C}{{{Z_0}}}\)
Answer» C. \(\frac{{{Z_0}}}{C}\)

28.	Arrange in increasing order of their transmission distance without using repeater.(i) Metal wired transmission(ii) Wireless transmission(iii) Frequency modulated wave transmission(iv) Ground waves transmission
A.	(ii), (i), (iv), (iii)
B.	(ii), (iii), (i), (iv)
C.	(i), (ii), (iii), (iv)
D.	(ii), (i), (iii), (iv)
Answer» D. (ii), (i), (iii), (iv)

29.	Input impedance of a shorted loss less line of length λ/4 is _________
A.	infinity
B.	zero
C.	Z0
D.	none of these
Answer» B. zero

31.	Medium frequency waves travel mainly as
A.	Sky waves
B.	Surface waves
C.	Space waves
D.	Ground wave
Answer» E.

33.	For good conductors, the coefficient of reflection for plane electromagnetic waves is
A.	Zero
B.	Very small
C.	Very large
D.	Close to unity
Answer» E.

Explore topic-wise MCQs in Electromagnetic Theory.

Ground waves progress along the surface of the earth and must be polarized

A transverse electromagnetic wave with circular polarization is received by a dipole antenna due to polarization mismatch. The power transfer efficiency from the wave to the antenna is reduced to about

Intrinsic impedance of free space is:

A plane Electromagnetic wave traveling in the x-direction is of the formE(x,t) = Emax cos(kx –ωt + ϕ)B(x,t) = Bmax cos(kx – ωt + ϕ)What do E and B stand for in the above expression?

A non-magnetic lossy dielectric material with relative permittivity εr = 2.25 and conductivity σ = 10-4 mho/m is applied with electromagnetic wave of 2.5 MHz. What is the loss tangent?

Any electromagnetic disturbance is bound to travel at a velocity of

If frequency is decreased 4 times, then skin depth of an Electromagnetic wave inside a conductor will be:

Brewster angle is the angle when a wave is incident on the surface of a perfect dielectric at which there is no reflected wave and the incident wave is

If the pointing vector or power density of TEM wave is 79.6 W/m2 in a loss less medium (σ = 0) with ϵr = 4, then the magnitude of Electric field is

A plane wave in free space has a magnetic field intensity of 0.2 A/m in the Y-direction. The wave is propagating in the Z-direction with a frequency of 3 GHz. The wavelength and amplitude of the electric field intensity are, respectively:

A 10 GHz plane wave travelling in free space has amplitude of 15 V/m. The propagation coefficient β is

Microwaves have frequency range of

Ez ≠ 0 and Hz ≠ 0 represent which type of mode of propagation of microwaves?

Polarization is characteristic of EM wave that gives the direction of

A 50 MHz uniform plane wave is propagating in a material with relative permeability and relative permittivity as 2.25 and 1 respectively. The material is assumed to be loss less. Find the phase constant of the wave propagation

For a good conductor, the depth of penetration of electromagnetic wave is given by:

Input impedance of a short-circuited lossless line with length λ/ 4 is

An electromagnetic wave of frequency 3 MHz passes from vacuum into a dielectric medium with permittivity c = 4.0. Then

If E = 4 V/m in free space, H will be:

For a wave travelling in negative Z direction the value of Ey/Hx is:

In electromagnetic spectrum visible light lies in between

A lossless transmission line has a characteristic impedance of Z0 and capacitance per unit length of C. The velocity of propagation of the travelling wave on the line is

Arrange in increasing order of their transmission distance without using repeater.(i) Metal wired transmission(ii) Wireless transmission(iii) Frequency modulated wave transmission(iv) Ground waves transmission

Input impedance of a shorted loss less line of length λ/4 is _________

Medium frequency waves travel mainly as

For good conductors, the coefficient of reflection for plane electromagnetic waves is

Bending of light wave as it passes between material of different optical density

An electromagnetic wave is transmitted into a conducting medium of conductivity σ. The depth of penetration is

In a certain material medium, a propagating electromagnetic wave attains 60% of the velocity of light. The distance at which the electromagnetic wave (f = 10 MHz) will have the same magnitude for the induction, as well as the radiation fields, is nearly

If the Polarization vector is given as N and the Direction of propagation is given as K then which one of the following relations is correct?

34.	Bending of light wave as it passes between material of different optical density
A.	Reflection
B.	Refraction
C.	Scattering
D.	Polarization
Answer» C. Scattering

35.	Consider a rectangular coordinate system (x, y, z) with unit vectors ax, ay, and az. A plane wave traveling in the region z ≥ 0 with electric field vector E = 10 cos (2 × 108 t + βz) ay is incident normally on the plane at z = 0, where β is the phase constant. The region z ≥ 0 is in free space and the region z < 0 is filled with a lossless medium (permittivity ε = ε0, permeability μ = 4μ0, where ε0 = 8.85 × 10-12 F/m and μ0 = 4π × 10-7 H/m). The value of the reflection coefficient is
A.	\(\dfrac{2}{3}\)
B.	\(\dfrac{3}{5}\)
C.	\(\dfrac{1}{3}\)
D.	\(\dfrac{2}{5}\)
Answer» D. \(\dfrac{2}{5}\)

36.	Consider the following statements:1. For an isotropic medium, ε is a scalar constant.2. For a homogeneous medium, ε, μ and σ are constant throughout the regio.3. In an anisotropic medium, D and E have the same direction.4. For certain crystalline medium, ε varies with the direction of E.Which of the above statements are correct?
A.	1, 2 and 3
B.	1, 3 and 4
C.	1, 2 and 4
D.	2, 3 and
Answer» D. 2, 3 and

38.	In a certain material medium, a propagating electromagnetic wave attains 60% of the velocity of light. The distance at which the electromagnetic wave (f = 10 MHz) will have the same magnitude for the induction, as well as the radiation fields, is nearly
A.	57.4m
B.	29.0 m
C.	5.8 m
D.	2.9 m
Answer» E.

39.	If the Polarization vector is given as N and the Direction of propagation is given as K then which one of the following relations is correct?
A.	N.K = 0
B.	N = -K
C.	N × K = 1
D.	K = N
Answer» B. N = -K