STUPIDSID
Explain any four of the following:-
1 (a)
Continuity equation.
5 M
1 (b)
Boundary Conditions for Electrostatics.
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1 (c)
Polarization of Electromagnetic waves.
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1 (d)
Ampere's Circuital law.
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1 (e)
Magnetic Vector Potential.
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2 (a)
Two conducting cones at θ =π/10 and θ = π/6 of infinite sheet extent are separated by an infinitesimal gap at r=0.
If V (θ= π/10)=0V and V(θ= π/6)=50V.
Find potential V and electric field intensity Ē between the cones. Neglect the fringing effect.
If V (θ= π/10)=0V and V(θ= π/6)=50V.
Find potential V and electric field intensity Ē between the cones. Neglect the fringing effect.
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2 (b)
Find the electric field intensity Ē due to an infinite line charge.
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3 (a)
A circuit carrying a current I amp form a regular polygon of 'n' side inscribed in circumscribing circle of radius R. Calculate the Magnetic flux at the centre of the polygon and show that B approaches that for a loop if 'n' tends to infinity.
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3 (b)
Given the potential V=10/r2 sinθcos θ,:-
(i) Find the Electric flux density D at (2, π/2, 0).
(ii) Calculate the work done in moving a 5 μC charge from point A(1, 300, 1200) to B(3, 900, 600).
(i) Find the Electric flux density D at (2, π/2, 0).
(ii) Calculate the work done in moving a 5 μC charge from point A(1, 300, 1200) to B(3, 900, 600).
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4 (a)
A vector field is given by:
A(r, ϕ, z) = 30e-r ar - 2zaz.
Verify Divergence theorem for the volume enclosed by r = 2m, z = 0m, and z = 5m.
A(r, ϕ, z) = 30e-r ar - 2zaz.
Verify Divergence theorem for the volume enclosed by r = 2m, z = 0m, and z = 5m.
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4 (b)
Define Poynting Vector. Obtain the integral form of Poynting theorem and explain each term.
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5 (a)
Verify Stokes's theorem for portion of a sphere r = 4m, 0 ≤ θ ≤ 0.1 π, 0 ≤ ϕ≤ 0.4 π.
Given: H = 6r sin ϕar + 18rsin θ cos ϕaρ.
Given: H = 6r sin ϕar + 18rsin θ cos ϕaρ.
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5 (b)
Derive Maxwell's equation in point form and integral form for free space.
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6 (a)
Derive the expression for the potential energy stored in a static electrical field.
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6 (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.
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7 (a)
Prove that static charge field is irrotational and the static magnetic field is solenoidal.
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7 (b)
Derive general wave equations for E and Efields. Give solution to the wave equation in perfect dielectric for a wave travelling in z-direction which has only x-component of E field.
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