STUPIDSID
Explain any four of the following:-
1 (a)
State and Explain Coulomb's Law.
5 M
1 (b)
Method of Images.
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1 (c)
Gauss's Law.
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1 (d)
Poynting Vector.
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1 (e)
Polarization of Electromagnetic Waves.
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2 (a)
Find Electric field intensity due to a volume charge.
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2 (b)
Calculate the total charge within the volume 0 ≤ ρ ≤ 0.1, 0 ≤ ϕ ≤ π, 2 ≤ z ≤ 4. Given ρv = ρ2 z2 sin (0.6ϕ).
10 M
3 (a)
A total charge of 40/3 nC is uniformly distributed over a circular ring of radius 2m placed on z=0 plane with centre at origin. Find electric potential at (0,0,5).
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3 (b)
A vector field is given by:
A(r, ϕ, z) = 30e-r âr - 2zâz.
Verify Divergence theorem for the volume enclosed by r = 2m, z = 0m, and z = 5m.
A(r, ϕ, z) = 30e-r âr - 2zâz.
Verify Divergence theorem for the volume enclosed by r = 2m, z = 0m, and z = 5m.
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4 (a)
Explain Maxwell's equations in differential and Integral form for time-varying field.
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4 (b)
Derive V and E for a dipole situated at the origin on z axis.
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5 (a)
Derive an expression for magnetic field intensity due to finite long straight element.
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5 (b)
Prove that static electric field is irrotational and static magnetic field is solenoidal.
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6 (a)
Derive Poisson's and Laplace's equation.
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6 (b)
Use Laplace's equation to find capacitance of a coaxial cable of inner radius 'a' and outer radius 'b'. Given V=V0 at r=a and V=0 at r=b.
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7 (a)
Derive general wave equations for E and H fields.
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7 (b)
A charge distribution with spherical symmetry has density:
ρv = (ρ0r)/a for 0 ≤ r ≤ a
ρv = 0 for r > a, Determine E everywhere.
ρv = (ρ0r)/a for 0 ≤ r ≤ a
ρv = 0 for r > a, Determine E everywhere.
10 M
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