STUPIDSID
1 (a)
Explain Following:
(1)The Dot Product
(2) The Cross Product
(1)The Dot Product
(2) The Cross Product
7 M
1 (b)
Given point P(-2,6,3) and vector A = yax+(x+z)ay, Express P and A in Spherical
Coordinates.Evalute A at P in Spherical coordinate system.
7 M
2 (a) (i)
Define Electric field strength.
2 M
2 (a) (ii)
Point charges 1 mC and -2 mC are located at (3, 2,-1) and (-1,-1, 4), respectively. Calculate the electric force on a 10 nC charge located at (0, 3, 1) and the electric field intensity at that point.
5 M
Solve any one question from Q2(b) & Q2(c)
2 (b) (i)
What do you mean by Electric Flux Density.
2 M
2 (b) (ii)
Determine an equation for the electric fields due to volume charge distribution.
5 M
2 (c)
The finite sheet 0≤x≤1, 0≤y≤1 on the z=0 plane has a charge density ρs=xy(x2+y2+25)3/2 nC/m2. Find:
i) The total charge on the sheet
ii) the electric field at (0, 0, 5)
iii) The force experienced by a -1 mC charge located at (0,0,5).
i) The total charge on the sheet
ii) the electric field at (0, 0, 5)
iii) The force experienced by a -1 mC charge located at (0,0,5).
7 M
Solve any two question from Q3(a), Q3(b) & Q3(c), Q3(d)
3 (a) (i)
Write short note on electric potential.
2 M
3 (a) (ii)
Two point charges -4μC and 5μC are located at (2, -1, 3) and (0, 4, -2), respectively. Find the potential at (1, 0, 1), assuming zero potential at infinity.
5 M
3 (b) (i)
Find out relationship between E and V.that is, the electric field intensity is the gradient of V.
4 M
3 (b) (ii)
Given the potential \( v=\frac {10}{r^2} \sin \theta \cos &Phi, \) find the electric flux density D at (2, π/2, 0).
3 M
3 (c)
If \( J=\dfrac {1}{r^3} (\cos \theta \ a_r+\sin \theta \ a_\theta) A/m^2, \) calculate the current passing through
i) a hemispherical shell of radius 20 cm, 0<θ<π/2, 0<ϕ<2π
ii) A spherical shell of radius 10 cm.
i) a hemispherical shell of radius 20 cm, 0<θ<π/2, 0<ϕ<2π
ii) A spherical shell of radius 10 cm.
7 M
3 (d)
Derive continuity of current equation. Determine relaxation time for copper where σ=5.8×10-7 S/m, εr=1
7 M
Solve any two question from Q4(a), Q4(b) & Q4(c), Q4(d)
4 (a)
Evaluate a Poisson's and Laplace's Equations.
7 M
4 (b)
Write down short notes on Spherical Capacitor.
7 M
4 (c)
Evaluate H, Magnetic field intensity for the case of infinite sheet of current.
7 M
4 (d)
Given the magnetic potential A= -ρ2/4 az, Wb/m, calculate the total magnetic flux crossing the surface &Straightphi;=π/2, 1≤ρ≤2 m, 0 ≤z≤5.
7 M
Solve any two question from Q5(a), Q5(b) & Q5(c), Q5(d)
5 (a)
Write short notes on magnetic boundary conditions between two different
Media.
7 M
5 (b)
Determine EMF for the following cases:
(1) Moving loop in static B field
(2) Moving loop in time varying field
(1) Moving loop in static B field
(2) Moving loop in time varying field
7 M
5 (c)
Give details on plane waves in free space. Draw a plot of E and H as function of z at t=0.
7 M
5 (d)
A uniform plane wave propagating in a medium has E=2 e-az sin (108t-βz)ay V/m, If the medium is characterized by εr=1, μr=20 and σ=3 S/m. Find α, β, H.
7 M
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