Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary


1(a) Define electric flux density.
2 M
1(b) Define potential difference.
2 M
1(c) Derive capacitance of 2 concentric spheres (spherical shell capacitor).
3 M
Solve any one question from Q.1(d) & Q.1(e)
1(d) State and prove Gauss's divergence theorem? Write equation for gradient, divergence and curl for any one co-ordinate system.
7 M
1(e) Give a mathematical analysis of electrostatic energy and energy density. Write Laplaces and Poisson's equation.
7 M

2(a) Define magnetic field intensity and magnetic flux density.
2 M
2(b) Define self and mutual inductance.
2 M
2(c) Explain any one application of Biot-Savart's law.
3 M
Solve any one question from Q.2(d) & Q.2(e)
2(d) Give a mathematical analysis for solution of Laplaces equation in cylindrical co-ordinate system.
7 M
2(e) Derive boundary conditions on magnetic field.
7 M

3(a) Define uniform plane waves?
2 M
3(b) What is complex poynting vector.
2 M
3(c) Discuss displacement current concept.
3 M
Solve any one question from Q.3(d) & Q.3(e)
3(d) Derive relation for magnetic energy density. A current element IΔl=2π(0.61x-0.8Iy) is situated at a point (4,-2,3), find the incremental field (1,3,2)? ∇H at a point(1, 3, 2)?
7 M
3(e) Write a note on magnetic scalar potential. A parallel polarized wave propagates from air into dielectric at Brewster angle of 75. Calculate the relative dielectric constant of the medium.
7 M

4(a) Define polarization of waves?
2 M
4(b) Define Attenuation constant and phase constant.
2 M
4(c) For a non-magnetic material, having ∈r=2.25, σ=10-4 s/m. Find
i) Loss tangent
ii) Attenuation constant
iii) Phase constant
iv) Intrinsic impedance for a wave having a frequency of 2.5 Mhz. Assume the material to be a good dielectric.
3 M
Solve any one question from Q.4(d) & Q.4(e)
4(d) Discuss wave propagation in a lossy Dielectric medium.
7 M
4(e) Give a brief mathematical analysis for the following :
i) Linear polarisation
ii) Circular (OR) Elliptic polarization
7 M

5(a) Define perpendicular polarization.
2 M
5(b) What is phase velocity and group velocity?
2 M
5(c) What is frequency dispersive propagation?
3 M
Solve any one question from Q.5(d) & Q.5(e)
5(d) The electric field intensity in radiation field of an antenna located at the origin of a spherical co-ordinate system is given by \[\:E=E_{0}\dfrac{sin\theta \cos\theta }{r}cos(\omega t -\beta r )IQ\], Where E0, ω and β are constants. Find
i) The magnetic field associated with this electric field.
ii) The poynting vector
iii) The Total power radiated over a spherical surface of radius 'r' centered at the origin.
7 M
5(e) Discuss reflection of uniform plane waves by perfect Dielectric-normal incidence.
7 M



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