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MU Electrical Engineering (Semester 5)
Electromagnetic Fields and Waves
December 2014
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

Solve any four
1(a) Define , explain and give an example on divergence and curl.
5 M
1(b) State and derive relationship between electric intensity and -electric potential.
5 M
1(c) What is Lorentz force equation for a moving charge? Enlist two applications.
5 M
1(d) 'Magnetic field has non-existence of monopole.' Justify the statement.
5 M
1(e) Classify and explain different types of current densities.
5 M

2(a) Derive an electric field intensity due to an infinite plane having density ρs (C/m2).
10 M
2(b) Two point charges of equal mass m, charge Q are suspended at a common point by two threads of negligible mass and length 1. Show that at equilibrium the inclination angle a of each thread to the vertical is given by Q2 =16 πε0: mgl2   sin2 α tan α
If a is very small, show that $\alpha=3\sqrt{\dfrac{Q^2}{16\pi\varepsilon mgl^2}}$
10 M

3(a) A current sheet K =6ax A/m, lies in the a=0 plane and current filament is located at y=0, z=4m. Determine current and its direction if H at (0, 0, 1.5)m.
10 M
3(b) Derive Magnetic Field intensity due to finite and infinite wire carrying a current I.
10 M

4(a) Define Inductance and mutual inductance. Derive inductance of solenoid.
10 M
4(b) Region I, for which μr1=3, is defined for x<0 and region II, x>0 has αr2. Given that H 1= 4a x+ 3a y - 6a 2 (Aim). Find θ2 and H 2.
10 M

5(a) Explain Maxwell's equation in the time and frequency domain.
Given H = Hm ej(ωt+βz) a x in free space, find E .
10 M

6(a) Derive wave equation and explain changes in wave with different media.
10 M
6(b) Determine the propagation constant g for a material having μr=1, ∈r=8 and σ=0.25 pS/m, if the wave frequency is 1.6 Mhz.
10 M

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