Explain any four of the following:-
1 (a)
Derive the equation of electric potential due to Electric dipoles.
5 M
1 (b)
A point charge of 100μC is located at origin. Find electric potential at (1,2,3)m.
5 M
1 (c)
State and Explain Gauss's Law.
5 M
1 (d)
Find out the total charge present in the closed surface defined by
0 ≤ x ≤ 1 , 0 ≤ y ≤ 1, 0 ≤ z ≤ 1
if ρv = (10x2)/4 C/m3.
0 ≤ x ≤ 1 , 0 ≤ y ≤ 1, 0 ≤ z ≤ 1
if ρv = (10x2)/4 C/m3.
5 M
1 (e)
State and Explain divergence theorem.
5 M
2 (a)
Derive Poisson's and Laplace's Equations.
10 M
2 (b)
Derive the equation for Electric field intensity due to infinite surface charge or plane charge.
10 M
3 (a)
Show that -
(i) ∇.D = 0 for the field of point charge.
(ii) ∇.E = 0 for the field of uniform line charge.
(i) ∇.D = 0 for the field of point charge.
(ii) ∇.E = 0 for the field of uniform line charge.
10 M
3 (b)
Evaluate both sides of divergence theorem for the field
D = 2xyzâx2zây + x âz
for the region defined by -1 ≤ x ≤ 1 , -1 ≤ y ≤ 1 and -1 ≤ z ≤ 1.
D = 2xyzâx2zây + x âz
for the region defined by -1 ≤ x ≤ 1 , -1 ≤ y ≤ 1 and -1 ≤ z ≤ 1.
10 M
4 (a)
State and explain continuity equation and displacement current.
10 M
4 (b)
Derive the equation for Magnetic field intensity due to finite straight line current carrying conductor.
10 M
5 (a)
Explain Stokes's theorem and Ampere's circuital law.
10 M
5 (b)
Find 'H' inside and outside of a solid cylindrical conductor of radius 'a' metre where I is uniformly distributed over the cross section.
10 M
6 (a)
State and derive the equations for Poynting theorem.
10 M
6 (b)
Derive the Electromagnetic wave equation for good conductor.
10 M
Write short notes on (any two):-
7 (a)
Boundary Condition in Electrostatic and Magnetostatic.
10 M
7 (b)
Reflection of uniform plane wave.
10 M
7 (c)
Wave Impedance for free space.
10 M
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