JNTU
JNTU B.Tech II ELECTROMAGNETIC THEORY AND TRANSMISSION LINES Previous Question Paper (April - 2018 - R13)
Note: This question paper contains two parts A and B. Part A is compulsory which carries 25 marks. Answer all questions in Part A. Part B consists of 5 Units. Answer any one full question from each unit. Each question carries 10 marks and may have a, b, c as sub questions.
Part A
Define relaxation time.
Answer
Relaxation time is the time required for a charge placed in the interior of a material to decay to 1/e (approximately 36.8%) of its initial value due to conduction. It is defined as τ = ε/σ, where ε is the permittivity and σ is the conductivity of the material.
For the given vector A = (x+y) ax + 3ay + z2 az, Determine the unit vector in the direction of –A at the cartesian coordinate point (1,1,1).
Answer
Given A = (x+y)ax + 3ay + z2az. At (1,1,1), A = 2ax + 3ay + 1az. Therefore, -A = -2ax - 3ay - 1az. The magnitude |-A| = sqrt((-2)2 + (-3)2 + (-1)2) = sqrt(4+9+1) = sqrt(14). The unit vector is (-2ax - 3ay - 1az) / sqrt(14).
State Ampere’s circuit law.
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A conductor located at x=0.4m, y=0 and 0 < z < 2m, carries a current of 5A in the az direction. Along the length of the conductor vector B = 2.5 az T. Find the torque about the z-axis.
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Write the wave equations in free space.
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Find the surface impedance of the conductor at 1 GHz, whose r1 and 1 = 50 M/m.
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Define phase velocity.
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What are the primary and secondary constants of transmission line and also draw the equivalent circuit of two wire transmission line.
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One end of a lossless transmission line having the characteristic impedance of 75 ohms and length of 1cm is short circuited. At 3 GHz, what is the input impedance at the other end of the transmission line?
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What do you mean by impedance matching and mention various impedance matching techniques.
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Part B
Derive the expression for energy density in electrostatic fields.
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Four charges of 10C are placed at corners of a square, the coordinates of corners are (1,1,0),(1,-1,0),(-1,1,0),(-1,-1,0). Find the force on a charge of 50C that is placed at (0,0,2).
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Define capacitance and derive the expression for capacitance of spherical capacitor.
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Given vectors A = 3ay + 4az and B = 4ax -10ay + 5az, determine (i) The vector component of A in the direction of B (ii) A unit vector perpendicular to both A and B.
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Find H at (-3,4,0) due to current element along x-axis.
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Derive an expression for the magnetic field produced by a straight current carrying conductor at a distance x from it.
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Given E = 10 sin (ωt - z) ay V/m in free space, determine D,B and H.
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State and explain Faraday’s law of electromagnetic induction.
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Describe the wave propagation in good conducting medium.
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Find ratio of Er/Ei and Et/Ei at the boundary for the normal incidence. For region 1, ∊r1 = 9, r1 and 1 = 0, region 2 is free space. Assume perpendicular polarization.
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Explain about elliptical polarization.
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A large copper with = 5.8 10^7 S/m and ∊r = r = 1 supports a uniform plane wave at 60Hz. Determine the attenuation constant, phase constant and propagation constant.
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Describe the low loss characterization of transmission line.
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A lossless line has Z0 =50 and = 0.2 m^-1 at f = 60 MHz. Find the distributed parameters L and C of the line.
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Derive the expression for characteristic impedance in terms of primary constants and angular frequency.
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For a transmission line R = 0.1, C = 10pF, L= 0.2H and G = 0.02. Find the propagation constant and characteristic impedance at 1MHz.
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Derive the expressions for reflection coefficient of a transmission line.
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Calculate the reflection coefficient and VSWR for 25 line is terminated with: (i) matched load (ii) short circuited load (iii) open circuited load.
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Explain about double stub matching technique.
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Explain the properties of /2, /4, /8 lines and write their significance.
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