EE6302 Electromagnetic Theory, Second year, Department of Electrical & Electronics Engineering, First and second Units Questions

EE6302 Electromagnetic Theory, Second year, Department of Electrical & Electronics Engineering, First and second Units Questions

Answer ALL Questions

PART A – (10 x 2 = 20 Marks)

1.      Given A=4ax+6ay-2az & B=-2ax+4ay+8az. Show that the vector are orthogonal

2.      State stoke’s theorem

3.      State coulomb’s law

4.      State divergence theorem

5.      Find the electric field intensity in free space of D=30ax c/m2

6.      What is an electric dipole?

7.      Distinguish between potential & potential difference

8.      A parallel plate capacitor has a charge of 10-3 C on each plate while the potential difference between the plates is 1000V. calculate the value of capacitance

9.      Define polarization in dielectric material

10.  Define dielectric strength. What is the dielectric strength of air at atmospheric pressure

Part- B (5x13=65)

11.  (i) State and prove gauss’s law                                                                                      (7)

(ii) Show that the vector E=(6xy+z3)ax+(3x2-z)ay+(3xz2-y)az is irrotational and find its scalar potential                                                                                                  (6)

12.  Obtain the expression for electric field intensity due to a uniformly charged line of length ‘l’

13.  Apply gauss’s law to an (i)infinite line charge (ii)infinite sheet of charge

14.  (i)Derive Poisson’s & Laplace’s equation. Obtain the Laplacian’s operator in the cylindrical co-ordinate system                                                                                       (7)                                                                                      (ii) Derive the expression for energy density in electrostatic fields                               (6)

15.  Obtain the expression for the capacitance of parallel plate conductors

Part-c (1x15=15)

16.  At an interface separating dielectric 1 (ε_r1) & dielectric 2 (ε_r2) , show that the tangential component of E is continous across the boundary, whereas the normal component of E  is discontinuous at the boundary