STUPIDSID
1 (a)
Given the vectors M=-10ax+4ay-8az and N=8ax+7ay-2az, a unit
vector in the direction of -M+2N b) the magnitude of 5ax+N-3M c)|M| |2N|(M+N).
7 M
1 (b)
Explain experimental law of coulomb and from that deduce expression for electric field
intensity for point charges.
7 M
2 (a)
Let V = 2xy2z3 + 3 ln(x2 + 2y2 + 3z2 ) V in free space. Evaluate each of the following quantities
at P(3, 2,? 1): a) V b) |V| and c) E.
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2 (b)
Apply Gauss's law for finding electric field for some symmetric charge distribution
7 M
2 (c)
Using Gauss's law for differential volume element prove that div D=ρv.
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3 (a)
The magnetic field intensity is given in the square region x=0.05H=z2 ax+x3ay+y4az A/m. a) Evaluate ∫H.dL about the perimeter of the square region. b) Find ∇×H: c) Calculate (∇×H)x.
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3 (b)
Explain Point and integral form of Maxwell's Equations.
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3 (c)
What are different representation of emf used by Faraday using it define curl of
Electric field
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3 (d)
State and explain Biot-Savart Law.
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4 (a)
Write short note on magnetic boundary conditions.
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4 (b)
Derive Poission's and Laplace's Equation.
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4 (c)
Write short note on boundary condition for perfect dielectric.
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4 (d)
Show that solution of the Laplace's equation is unique.
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5 (a)
Define Lorentz force and obtain force on current element using it.
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5 (b)
Explain in detail about Wave motion in free space.
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5 (c)
Conducting planes in air at z = 0 and z = d carry surface currents of +K0ax A/m.a) Find the energy stored in the magnetic field per unit length (0 < x < 1) in a
width w (0 < y < w) b) Calculate the inductance per unit lengt.
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5 (d)
State and prove Pointing vector theorem using it for propagation in z direction
find power.
7 M
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