## Wave Theory & Propagation - Dec 2013

### Electronics & Telecomm. (Semester 4)

TOTAL MARKS: 80

TOTAL TIME: 3 HOURS
(1) Question 1 is compulsory.

(2) Attempt any **three** from the remaining questions.

(3) Assume data if required.

(4) Figures to the right indicate full marks.
**1(a)** State and prove Gauss law.(5 marks)
**1(b)** What do you mean by method of images?(5 marks)
**1(c)** Expalin polarization for electromagnetic wave.(5 marks)
**1(d)** Define and explain vector Magnetic Potential.(5 marks)
**2(a)** Find out capacitance of spherical capacitor form by two concentric sphere of radius 'a' and 'b' where a<b.< a="">

</b.<><>(10 marks)
**2(b)** Derive the expression for electric field intensity due to infinite surface charge.(10 marks)
**3(a)** Circular loop conductor carrying of 1Amp is placed in X-Y plane centred at origin.Find expression for a magnetic field intensity at any point on Z-axis.(10 marks)
**3(b)** Four like charges of 40μc each are placed at four corner of a square.the square diagonal is 12meter.Find force on 200μc charges located 5meters above the center of a square.(10 marks)
**4(a)** Define Poynting Vector and Explain each term in its integal form.(10 marks)
**4(b)** Write Differential form of Maxwell equation and explain the same.(10 marks)
**5(a)** Derive the wave equation for uniform plane wave in free space.(10 marks)
**5(b)** Derive Laplace and Poissons Equation.(10 marks)
**6(a)** State and explain Uniqueness Theorem.(10 marks)
**6(b)** state and explain Strokes Theorem and Biot-severts law.(10 marks)
**7(a)** Derive Boundary condition for Electrostatic and magneto statics.(10 marks)
**7(b)** Describes Reflection of uniform plane wave.(10 marks)