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QUESTION: 1

A material has conductivity of 10^{-2} mho/m and a relative permittivity of 4. The frequency at which conduction current in the medium is equal to displacement current is

Solution:

Conduction current density J = wD

J = ÏƒE ÏƒE = Ï‰D = 2p *f*D

QUESTION: 2

A transmission line is feeding 1 watt of power to a horn antenna having a gain of 10 dB. The antenna is matched to the transmission line. The total power radiated by the horn antenna into the free space is

Solution:

P_{radiated} = Gain of Antenna x Input power = G.I

10 log_{10}10 . 1 10 watt.

QUESTION: 3

An end fire array consisting of several half-wave lengths of directive gain 40, then find the width of major lobe

Solution:

.

QUESTION: 4

Poynting vector is associated with which of the following?

Solution:

P = E x H

QUESTION: 5

A uniform plane EM wave incident normally on a plane surface of a dielectric material is reflected with a VSWR of 3. What percentage of incident power that is reflected?

Solution:

P_{reflected} = |Î´|^{2} P_{incident}

|Î´|^{2} = 0.25 .

QUESTION: 6

A 10 GHz signal propagates in a waveguide with a phase velocity of 4 x 10^{8} m/s. If the signal produces standing wave in the guide, then the distance between successive minimal will be

Solution:

*f* = 10 GHz, *v* = 4 x 10^{8} m/sec,

.

QUESTION: 7

The incidence from dielectric medium 1 (ε_{1}) into dielectric medium 2 (ε_{2}), Brewster angle θ_{B} and the corresponding angle of transmission θ_{t} for will be respectively

Solution:

Brewster angle θ = tan^{-1}

QUESTION: 8

A medium of relative permittivity Îµ_{r2} = 2 forms an interface with free space. A point source of EM energy is located in the medium at a depth of 1 meter from the interface. Due to the total internal reflection, the transmitted beam has a circular cross-section over the interface. The area of the beam cross section at the interface is given by

Solution:

QUESTION: 9

A transmission line of characteristic impedance *z*_{0} = 50 Î©. Phase Velocity = 2 x 10^{8} m/sec, and length *l* = 1 m is terminated by a load *z*_{1} = (30 - *j* 40) ohms. The input impedance of the line for a frequency of 100 MHz will be

Solution:

.

QUESTION: 10

A circular waveguide carries TE_{11} mode whose radial electric-field is given by

E_{r} = E _{0}J_{1} (*r*) sin Ï† V/m

where '*r*' is the radial distance in cm, from the waveguide axis. The cut-off wavelength of the mode is

Solution:

.

QUESTION: 11

A uniform plane wave travelling in air is incident on the plane boundary between air and another dielectric medium with ε_{r} = 4. The reflection coefficient for the normal incidence is

Solution:

Reflection coefficient

.

QUESTION: 12

A transmission line has characteristics impedance of (75 + *j* 0.01) Î© and is terminated in a load impedance of (70 + *j* 50) Î©. The transmission coefficient will be

Solution:

Transmission coefficient .

QUESTION: 13

Maximum effective aperture of an antenna which is operating at a wavelength of 3 meters and has a directivity of 100

Solution:

.

QUESTION: 14

The distance between maxima and minima of a standing wave is

Solution:

QUESTION: 15

A TV. transmitting aerial is fixed on top of a 150 metre tower located on a mountain 1200 m height. The range of transmitter is

Solution:

1 = 1.44[*h _{t}* +

QUESTION: 16

A vertical wire of 1 meter length carries a current of 1 A at 10 MHz. The total radiated power is nearly

Solution:

P = I^{2} . R (1)^{2} . 73 73 watt.

Here, vertical wire will be considered as dipole.

QUESTION: 17

The length of half-wave antenna is at 30 MHz

Solution:

.

QUESTION: 18

For a 400 kHz transmission line having L = 0.5 mH/km, C = 0.08 mF and negligible R and G, the characteristic impedance will be

Solution:

*f* = 400 kHz, L = 0.5 mH, C = 0.08 mF

.

QUESTION: 19

Which one of the following statement is not a correct for a plane wave with = 0.5*e*^{-0.1x} cos (10^{6}*t* - 2*x*)*a _{z}* A/m?

Solution:

P = E x H P = EH, θ = 90º

η = 120p = 377 Ω.

QUESTION: 20

Beamwidth (between first nulls) will be for an antenna at 3 MHz with directivity of 100

Solution:

.

QUESTION: 21

If and

the time average Poynting vector is

Solution:

QUESTION: 22

Calculate the wave number in waveguide having dimensions 4 x 2 cm at 3 GHz

Solution:

.

QUESTION: 23

For a transmission line with homogeneous dielectric the capacitance per unit length is '*c*', the relative permittivity of the dielectric is 'Îµ_{r}' and velocity of light in free space is '*v*' the characteristic impedance *z*_{0} is equal to

Solution:

.

QUESTION: 24

The I/P impedance of a short circuited quarter wave long transmission line is

Solution:

Because for irrotational, âˆ‡ x = 0.

QUESTION: 25

A dipole antenna of Î»/8 length has an equivalent total loss resistance of 1.5 Î©. The efficiency of the antenna is

Solution:

R_{r} = 80p^{2} , R_{e} = 1.5 Î©,

.

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