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Total No. of Questions : 06
Total No. of Printed Pages : 04
ES-189
B.Tech. (Reg./ATKT) Examination, 2024
(Fifth Semester)
ELEC. ENGINEERING
EL-501
EM Fields and Waves
Time : 3 Hours
Maximum Marks : 60
Note : Attempt all questions. Each question carries equal marks.
-
1.
Explain any three of the following :
(a)Spherical coordinate system
(b)Method of moments
(c)Magnetic flux density
(d)Ampere's law
(e)Poynting vector.
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2.
State and explain divergence theorem. Evaluate both sides of the divergence theorem for electric flux density
and rectangular parallelopiped formed by the plane x = 0 and 2, y = 0 and 3 and z = 0 and 4.D = 3xyâx + x²ây c/m²
Or
Derive and explain Stokes theorem, divergence and curl of a vector.
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3.
Explain the concept of equipotential surface. Also explain the electric field due to line charge and sheet charge.
Or
State and explain Gauss law. A volume charge distribution is given by
min spherical co-ordinates. Find out D using Gauss Law.ρv = 6r c/m³
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4.
State and explain the Lorentz force equation. Derive the expression for force between two long straight parallel current carrying conductor.
Or
Explain reflection of plane wave. A uniform plane wave of an electric field with amplitude 300 Vm⁻¹ is propagating along z-axis, E = E₀âₓ and w = 1 M rad s⁻¹ determine:
(i)Frequency
(ii)Wavelength
(iii)Period
(iv)Amplitude of H.
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5.
State and explain Faraday's law and derive Maxwell's first equation in integral and differential form.
Or
Describe boundary condition for electric and magnetic field.
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6.
Explain linear elliptical and circular polarization. Derive the wave equation for free space.