# CUSAT Previous Year Question Papers

# BE EE 5th Semester Field Theory June 2011

**EE 503 Field Theory**

**(2006 Scheme)**

**PART-A**

**(Answer all questions)**

I. a) State and prove Gauss’s Law for Electric flux.

b) Transform the vector A=2ax+5ay at the point P(x=2, y=l. z=3) into cylindrical co-ordinate system.

c) State and explain Biot Savart Law.

d) Justify the existence of displacement current.

e) Distinguish between phase velocity and group velocity.

f) Gan TEM waves propagate in a rectangular waveguide? Justify your answer.

g) What are standing waves? Explain how they are formed along a Transmission line.

h) What is Smith chart? Highlight the salient features of Smith chart and list few important applications.

**PART-B**

II. a) Explain the term divergence. State and prove divergence theorem.

b) Derive the expression for energy stored in a capacitor.

**OR**

III. a) Given A=2xy ax+z ay + yz^{2}az find VAandVxA at P(2,-l,3).

b) Derive the conditions for D and E at the boundary between two dielectrics.

IV. a) A wire carrying 100A current is bent into a square of side 10cm. Calculate the field at the centre of the coil,

b) State and explain Maxwell’s equation in differential form.

**OR**

V. a) Explain the inconsistency of Ampere’s Law for time varying fields.

b) State and explain the Continuity Equation.

VI. a) Derive the wave equations in a conducting medium.

b) What is intrinsic impedance? Evaluate the intrinsic impedance of free space.

**OR**

VII. a) State and explain Poynting Theorem.

b) What is wave polarization? Illustrate the different types of wave polarization.

VIII. a) Derive the expression for reflection co-efficient and transmission co-efficient for a normally incident wave,

b) Explain:

(i) Snell’s Law (ii) Brewster angle

**OR**

IX. a) Derive the Transmission line equations.

b) Explain:

(i) Stub Matching

(ii) Characteristic impedance of Transmission line