JNTU
JNTU B.Tech III ELECTROMAGNETIC THEORY AND TRANSMISSION LINES Previous Question Paper (February - 2022 - R16)
Answer any five questions. All questions carry equal marks.
Main
Derive the Poisson’s and Laplace equations.
Answer
Starting from Gauss's Law in differential form, the divergence of the electric flux density is equal to the volume charge density:
Substituting the constitutive relation D = εE and the definition of the electric field as the negative gradient of the scalar potential, E = -∇V, we obtain:
Assuming a homogeneous medium where ε is constant, this simplifies to Poisson's equation:
In a charge-free region where ρv = 0, the equation reduces to Laplace's equation:
For a line charge, ρL = (10-12/2) C/m on the z-axis, find VAB, where A is (4m, π/4, 0) and B is (8m, π, 10m).
Answer
The potential difference between two points A and B in the field of a line charge is given by:
Given ρL = 0.5 × 10-12 C/m, ε = ε0 ≈ 8.854 × 10-12 F/m, rA = 4 m, and rB = 8 m:
What are the applications of Gauss Law?
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Derive the continuity of current equation.
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Write notes on Parallel plate capacitor and Coaxial capacitor.
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Define Electric Potential and give the relation between E and V.
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State Ampere’s Circuit Law. Find H at (-3,4,0) due to a current element along x-axis.
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Describe in detail the inconsistency of Ampere’s law.
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Derive the Maxwell’s equations in differential and integral form.
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What are magnetic scalar and vector potentials?
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State Ampere’s Force Law.
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Describe the wave propagation in good conducting medium and good dielectric medium.
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Write in detail about critical angle and total internal reflection.
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The electric field intensity associated with a plane wave travelling in a perfect dielectric medium is given by E(z, t)=10Cos(2πt - 0.1πz) V/m. Find the magnetic field intensity associated with the wave.
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Give the significance of Poynting vector.
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What are the different types of loading?
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Discuss the parameters that characterize a lossless and low loss transmission line.
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A lossless line has Z0 = 50Ω and β = 0.2π m-1 at f = 60MHz. Find the distributed parameters L and C of the line.
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What is distortion? Discuss the conditions that characterize a distortion less line.
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Discuss about impedance transformation of Half wavelength and Quarter Wave length line.
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