GTU Electrical and Electronic Engineering (Semester 5)
Engineering Electromagnetic
June 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


1 (a) Given the vectors M=-10ax+4ay-8az and N=8ax+7ay-2az, a unit vector in the direction of -M+2N b) the magnitude of 5ax+N-3M c)|M| |2N|(M+N).
7 M
1 (b) Explain experimental law of coulomb and from that deduce expression for electric field intensity for point charges.
7 M

2 (a) Let V = 2xy2z3 + 3 ln(x2 + 2y2 + 3z2 ) V in free space. Evaluate each of the following quantities at P(3, 2,? 1): a) V b) |V| and c) E.
7 M
2 (b) Apply Gauss's law for finding electric field for some symmetric charge distribution
7 M
2 (c) Using Gauss's law for differential volume element prove that div D=ρv.
7 M

3 (a) The magnetic field intensity is given in the square region x=0.05H=z2 ax+x3ay+y4az A/m. a) Evaluate ∫H.dL about the perimeter of the square region. b) Find ×H: c) Calculate (×H)x.
7 M
3 (b) Explain Point and integral form of Maxwell's Equations.
7 M
3 (c) What are different representation of emf used by Faraday using it define curl of Electric field
7 M
3 (d) State and explain Biot-Savart Law.
7 M

4 (a) Write short note on magnetic boundary conditions.
7 M
4 (b) Derive Poission's and Laplace's Equation.
7 M
4 (c) Write short note on boundary condition for perfect dielectric.
7 M
4 (d) Show that solution of the Laplace's equation is unique.
7 M

5 (a) Define Lorentz force and obtain force on current element using it.
7 M
5 (b) Explain in detail about Wave motion in free space.
7 M
5 (c) Conducting planes in air at z = 0 and z = d carry surface currents of +K0ax A/m.a) Find the energy stored in the magnetic field per unit length (0 < x < 1) in a width w (0 < y < w) b) Calculate the inductance per unit lengt.
7 M
5 (d) State and prove Pointing vector theorem using it for propagation in z direction find power.
7 M



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