RGPV Exam Papers
Electromagnetic Theory BE IV Sem 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.az into cylindrical coordinates .
(ii) Obtain electric field in all regions due to following charge distribution in free space :
= 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/m2 .
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 ? =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