RGPV Question Papers Electromagnetic Theory Dec 2004

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    Electromagnetic Theory Dec 2004


    Note:      Attempt any five questions. All question carry equal marks. Assume suitable data wherever


    1 (a)      State gauss law and prove that V.D= pv.

    (b)   (i)  Transform a vector  A= ya­x –x.ay+z.ainto cylindrical coordinates .

    (ii) Obtain electric field in all regions due to following charge distribution in free space :

    P(rФz) =0,0<r<a

    = p0, a<r<b

    = 0, b<r<

    2  (a) Drive the relation for energy stored in electro –static field .

    (b) State and prove stake’s theorem.

    3  (a)  Explain electronic polarization and drive the equation D= E+P.

    (b) Prove Poisson’s and Laplace equation starting from point from of Gauss law .

    4  (a)  State and prove ampere’s circuital law. What is the application of this law?

    (b) A rectangular current loop in the z =0 plan has corners at (0,0,0) ,(1,0,0), (1,2,0) and (0,2,0). The

    loop carries a current of 5 Amp in ax direction . Find the total force and torque on the loop

    produced by the magnetic fild B= (2ax+ 2ay -4a­z) eb/m.

    5  (a)  State and prove magnetic boundary conditions .

    (b)  Using the concept of vector magnetic potential , find the magnetic flux density at a point due to a

    long  straight  filamentary conductor carrying a current  I in az direction .

    6  (a) Drive the expression for self inductance of solenoid .

    (b) Drive the Maxwell equation V×E= – ­ B t and express all the Maxwell’s equation in integral from .

    7  (a) Determine the relation between E and H in a uniform plane wave .

    (b) A distortion less line has characteristic impedance of 60  ,Attenuation constant α =20 m Np/m,

    wave velocity is 3/5 times that of light . Find parameters of transmission line the and wavelength

    at frequency of 100 MHz .

    8   Write short note of any two of the following  :

    (i) Pointing   vector        (ii) Ohm’s Law in point from      (iii) Polarisation of waves

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