Code.No: 43017

SET-1

R07

JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD II.B.TECH - I SEMESTER SUPPLEMENTARY EXAMINATIONS NOVEMBER, 2009

ELECTRO MAGNETIC WAVES AND TRANSMISSION LINES (ELECTRONICS AND INSTRUMENTATION ENGINEERING)

b) 2 a) b)

State Ampere’s circuit law in integral form . A Charge of 12C has velocity of 5a x + 2a y − 3a z m / s . Determine F on the charge in the field of i) E = 18a x + 5a y + 10az V / m ii) B = 4ax + 4a y + 3az Wb / mV .

b)

[8+8]

Prove the Maxwell’s equation ∇× H = D + J .

If H =10 Cos (1010 t − β x) az A / m, find B, D, E and β when

or

3a)

µ = 2 × 10−5 H / m, ε =1.2 ×10−10 F / m, σ = 0 .

Discuss the following i) Total internal reflection ii) Surface impedance iii) Poynting vector. b) Find the depth of penetration, δ . of an EM wave in copper at f = 60 Hz , For Copper σ = 5.8 × 107 mho / m, µ r = 1, ε r = 1.

nt

5a)

[8+8]

Derive wave equations in conductive medium. Derive expression for reflection coefficient of a wave on dielectric when incident normally. [8+8]

uW

4a) b)

[8+8]

ld .

1.a)

Max.Marks:80

Answer any FIVE questions All questions carry equal marks --Derive point form of Gauss’s law from fundamentals. 1 Prove that energy stored in a capacitor W = CV 2 Joules . 2

in

Time: 3hours

[8+8]

Derive an expression for attenuation in parallel plane guides? Explain the power dissipation in lossy waveguide.

7a) b)

Derive the relationship between γ , Z oc and Z sc . Find characteristic impedance of a line at 1600 Hz if the following measurements have been made on the line at 1600Hz, Z oc = 750Ω and Z sc = 500Ω . [8+8]

8

Write short notes on a) Half wave line ( λ / 2 ) b) Smith chart.

Aj

6a) b)

[8+8]

[8+8] *****

1

Code.No: 43017

SET-2

R07

JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD II.B.TECH - I SEMESTER SUPPLEMENTARY EXAMINATIONS NOVEMBER, 2009

ELECTRO MAGNETIC WAVES AND TRANSMISSION LINES (ELECTRONICS AND INSTRUMENTATION ENGINEERING) Time: 3hours

Max.Marks:80

b)

Derive an expression for electric field due to dipole

ld .

1a)

in

Answer any FIVE questions All questions carry equal marks ---

If electric flux density D is given by D = ((2 y 2 + Z ) ax + 4 xy a y + X az ) µ c / m2 , Find volume charge density at (0,0,0) and (-1,0,4).

2a) b)

What is stroke’s theorem and describe its applications. Derive Ampere’s circuit law in differential form.

3a) b)

Give word statements of Maxwell’s equations. In a medium, conduction current density given by J = 3.0 Sin ( wt − 10 z )a y + cos( wt − 10 z )az mA / m2

or

uW

Find Volume charge density.

[8+8]

[8+8]

4a)

Define Brewster angle and obtain an expression for it.

b)

If the electric and magnetic fields in free space are given by E=2.0cos(wt-Bz)ax V/m . Find out average power flowing across a square whose each side is 2m. The square is in Z = a constant plane [8+8]

5a) b)

Explain the wave propagation characteristics in good conductors. What is polarization of a wave ? Explain types of polarization.

6a) . b)

Derive the propagation parameters of TE and TM modes in wave guides

nt

Derive an expression for guide wavelength in rectangular waveguide for TM mode. [8+8] Derive the currents and voltages along an infinite line. Derive the relationship between Z .0 and primary constants of a line. [8+8]

Aj

7a) b)

8a) b)

[8+8]

Explain applications of the smith chart. A lossless transmission line of length 100m has an inductance of 28 µ H and a capacitance of 20 nF. Find propagation velocity, phase constant at an operating frequency of 100 KHz and characteristic impedance of the line. [8+8] *****

2

Code.No: 43017

SET-3

R07

JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD II.B.TECH - I SEMESTER SUPPLEMENTARY EXAMINATIONS NOVEMBER, 2009

ELECTRO MAGNETIC WAVES AND TRANSMISSION LINES (ELECTRONICS AND INSTRUMENTATION ENGINEERING) Time: 3hours

Max.Marks:80

3a) b) 4a) b)

ld .

2a) b)

Prove that Force F = IL × B on a current element in a magnetic field. Determine the magnetic flux between the conductors of a coaxial cable of length equal to 10m. The radius of the inner conductor is a = 1 and that of outer conductor is 2cm. The current enclosed is 2A. [8+8]

or

b)

Derive the expression for capacitance between concentric spheres and obtain expression for it. [8+8] Two point charges Q1 = 5.0c and Q2 = 1.0nc are located at ( -1, 1, -3 ) m and ( 3, 1, 0 ) m respectively. Determine the electric field at Q1 and Q2 . [8+ 8 ]

State boundary conditions on E and H. In free space, D = 5.0 Sin( wt + β z ) ax . Find B using Maxwell’s equations. [8+8] Derive an expression for reflection of a wave when incident on dielectric with oblique incidence with perpendicular polarization. State poynting theorem and prove it. [8+8]

uW

1a)

in

Answer any FIVE questions All questions carry equal marks ---

5a) What is skin depth? What is its relation with attenuation constant, conductivity and frequency? Derive an expression for skin depth. b) Explain Snell’s law of reflection and Snell’s law of refraction. [8+8]

b)

Show that TEM wave does not exist in hollow waveguides.

b)

8a) b)

[8+8]

Write short notes on i) Lossless transmission line ii) Distortion less line.

Aj

7.a)

A rectangular waveguide with dimensions 3 × 2 cm operates at 10GHz. Find f c , λc , λ , λg , β g , ν p of TE10 mode.

nt

6a)

For a lossless two wire transmission line show that 1 i) Phase velocity is . [8+8] LC Explain the features of smith chart? The following measurements are made on a 25Km line at a frequency of 796 Hz Z sc = 3220Ω, Z oc = 1301Ω . Determine the primary constants of the line. [ 8 + 8 ] *****

3

Code.No: 43017

SET-4

R07

JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD II.B.TECH - I SEMESTER SUPPLEMENTARY EXAMINATIONS NOVEMBER, 2009

ELECTRO MAGNETIC WAVES AND TRANSMISSION LINES (ELECTRONICS AND INSTRUMENTATION ENGINEERING) Time: 3hours

Max.Marks:80

2a) b)

State Poisons equation and prove it. Find out polarization, P in an homogeneous and isotropic dielectric material whose . [8+8] ε r = 3.0 whenD = 3.0 ar µ c / m 2

ld .

1a) b)

in

Answer any FIVE questions All questions carry equal marks ---

What is a force on a moving charge due to electric and magnetic fields and explain. If the magnetic field, H =100 Sinθ aθ A / m in spherical coordinates, determine J at ( 10,

π

2

, 0)

[8+8]

4a) b)

Explain the propagation characteristics of EM waves in good dielectrics. Explain the concept of total internal reflection. [8+8]

5a)

What is reflection coefficient? Derive an expression for transmission coefficient of a uniform plane wave at normal incidence. State & Prove Poynting theorem. [8+8]

b)

or

b)

Write Maxwell’s equation in time varying differential form in a general medium. z The electric field of an EM wave is E = 15Cos w(t − ) a y , find H. [8+8]

ν0

uW

3a)

Explain the field equations for TE waves in rectangular wave guide. Define dominant mode. A Standard air filled rectangular wave guide with dimensions a = 8.6 Cm, b = 4.3 Cm is fed by 4GHz from a coaxial cable. Determine whether TE10 mode is possible or not. If so, calculate phase & group velocities. [8+8]

7a) b)

What is a Transmission line? Explain different types of transmission lines. List the applications of transmission lines. [8+8]

8a)

Express the maximum and minimum input impedance of a line in terms of VSWR. λ Derive the equation for input impedance of the quarter wave ( ) line? Explain its significance? 4 [8+8]

Aj

nt

6a) b)

b)

*****

4

43017 ELECTRO MAGNETIC WAVES AND TRANSMISSION LINES

b) Derive expression for reflection coefficient of a wave on dielectric when incident normally. ... average power flowing across a square whose each side is 2m.

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