Title 2. EC303__CEA AEMT SOLVED QP ✅

C Total pages: 2 Reg No. Name: APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY FIFTH SEMESTER B.TECH DEGREE EXAMINATON DEC 2017 Course Code: EC 303 Course Name: APPLIED ELECTROMAGNETIC THEORY ( EC) Max. Marks: 100 Duration: 3 Hours PART A Question No.1 i s compulsory. Answer question No.2 o r 3 1. a) Derive Poisson’s and Laplace’s equation? (4) b)Write the expression for capacitance and inductance of a co-axial cable. (2 ) c)Write Maxwell’s equations. (2) d)What is skin depth? (2) 2. Determine the energy stored in electric field and magnetic field. (20) OR 3. Derive the boundary conditions for electrostatic field. (20) PART B Question No.4 i s compulsory. Answer question No.5 o r 6 4. a) An air line has characteristic impedance of 70 Ω and phase constant of 3 rad/m at 100 MHz. Calculate the inductance per meter and the capacitance per meter of the line. (5) b)Derive Poynting vector theorem. (5) 5. a)Discuss reflection of plane electromagnetic wave at normal incidence. (10) b) In a nonmagnetic medium E = 4 sin (2π X 10 7 t - 0.8x) a zV/m . Find (a) ε r , η; (b) The time-average power carried by the wave (c) The total power crossing 100 cm 2 of plane 2x + y = 5 (10) OR 6. A distortionless line has Zo = 60Ω, a = 20 mNp/m, u = 0.6c, where c is the speed of light in a vacuum. Find R, L, G, C, and λ at 100 MHz. (20) KTUQBANK.COM
PART C Question No.7 i s compulsory. Answer question No.8 o r 9 7. a)What is stub matching? (5) b)Write the expression for attenuation factor in waveguides. (5) c)Discuss the modes of propagation in rectangular waveguide. (10) 8. A 30-m-long lossless transmission line with Zo = 50 Ω operating at 2 MHz is terminated with a load Z L = 60 + j40 Ω . If u = 0.6c on the line,using smith chart find (a) The reflection coefficient ᴦ (b) The standing wave ratio s (c) The input impedance (20) OR 9. In a rectangular waveguide for which a = 1.5 cm, b = 0.8 cm, σ = 0, μ= μ o, andε = 4ε o, Hx = 2 sin ( ) cos ( 3πy/b ) sin (π X 10 11 - βz) A/m Determine (a) The mode of operation (b) The cutoff frequency (c) The phase constant β (d) The propagation constant γ (e) The intrinsic wave impedance η. (20) KTUQBANK.COM
SCHEME FOR EVALUATION QN NO: MARKS DISTRIBUTION PART A 1.a Poisson’s Equation 2 Laplace Equation 2 b Capacitance -Expression 1 Inductance - Expression 1 c Four Maxwell’s Equation 0.5*4=2 d Skin Depth Definition 1 Equation 1 2 Derivation of electrostatic energy+ Diagram 6+4 Derivation of magnetic energy+ Diagram 6+4 3 Dielectric –dielectric condition+ Figure 5+5 Conductor –dielectric condition+ Figure 3+2 Conductor –free space condition+ Figure 3+2 PART B 4a Inductance - Euation+Steps+Final Answer 1+1+0.5=2.5 Capacitance - Euation+Steps+Final Answer 1+1+0.5=2.5 b Derivation 2 Figure 1 Statement 2 5a Derivation of reflection coefficient 3 Derivation of transmission coefficient 3 Derivation of standing wave ratio 3 Diagrams 1 b a)Euation+Steps+Final Answer 2+1+1=4 b)Euation+Steps+Final Answer 1+1+1=3 KTUQBANK.COM
c)Euation+Steps+Final Answer 1+1+1=3 6 Euation+Steps+Final Answer (1+2+1=4)*5=20 PART C 7a Definition-Single stub+Double stub 2.5+2.5=5 b Equation for α, α c , α d 1+2+2=5 c Explanation 2 Four modes 2*4=8 8a Smith Chart 8 Reflection coefficient 4 Standing wave Ratio 4 Input impedance 4 9 Mode of operation 2 Cut off frequency 5 Phase Constant 5 Propagation Constant 3 Intrinsic impedance 5 KTUQBANK.COM