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GTU Electronics and Communication Engineering (Semester 5)
Engineering Electromagnetics
December 2015
Engineering Electromagnetics
December 2015
1(a)
With neat and clean sketches explain cylindrical coordinate system.
6 M
1(b)1
The vector from the origin to point A is given as (6,-2,-4) and the unit vector
Directed from the origin toward point B is given by (2, - 2, 1)/3. If point A & B are 10 unit apart, find the coordinate of B
4 M
1(b)2
Transform the given vector A=r2 ar+sin θ a ϕ into rectangular coordinate.
4 M
Solved any one question from Q.2(b) & Q.2(c)
2(a)
Derive the expression for the electric field due to infinitely long line charge
located on the z axis at any arbitrary point P(ρ , ϕ , z).
7 M
2(b)
Define line charge. Infinite uniform line charge of 5 nC/m, lie along the (positive and negative) x and y axes in free space. Find E at point P(0,0,4).
7 M
Solved any one question from Q.3 & Q.4
2(c)
Define sheet charge. Planes x = 2 and y = -3, respectively carry charges 10 nC/m 2 and 15 nC/m 2 . Calculate E at P(1, 1, -1) due to these charge distributions.
7 M
3(a)
State and prove Gauss's Law. Derive the point form of Gauss's Law relates the flux leaving any closed surface to the charge enclosed.
7 M
3(b)
Evaluate both sides of divergence theorem for the field D = 2xy ax + x 2 ay C/m 2 and the rectangular parallelepiped formed by the planes x = 0 and 1, y = 0 and 2 and z = 0 and 3.
7 M
4(a)
Write a brief note on potential gradient
7 M
Solved any one question from Q.5 & Q.6
4(b)
A dipole of moment p = 6a z nC.m is located at the origin in free space. Find the potential V & Electric Field intensity E at point P(r = 4, θ = 20 ° , φ = 0 ° ).
7 M
5(a)
Write brief note boundary conditions for perfect dielectric materials
7 M
5(b)
Find E at point P(3,1,2) for the two coaxial conducting cylinders, if potential V = 50 V at ρ = 2 m and V = 20 V at ρ = 3 m.
7 M
6(a)
State Bio-Savart law for the steady magnetic field. Also derive the expression for the magnetic field intensity for an infinitely long straight filament carrying a direct current I.
7 M
Solved any one question from Q.7 & Q.8
6(b)
For any vector field, show explicitly that divergence of the curl of any vector is
Zero.
7 M
7(a)
Derive the expression for the torque acting on the loop in the presence of
magnetic field B, relating the dipole moment and the magnetic field B.
7 M
7(b)
State Maxwell's equations in integral form and explain physical significance of the equations.
7 M
8(a)
State and prove Poynting's theorem relating to the flow of energy at a point in
space in an electromagnetic field.
7 M
8(b)
Write a brief note on uniform plane wave propagation in free space.
7 M
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