Sub Code: REE305 Printed Pages: 02 Paper ID: 2 0 0 5 Roll No. B. Tech. (SEM. III) THEORY EXAMINATION 2017-18 NETWORK ANALYSIS AND SYNTHESIS Time: 3 Hours Note: 1. Total Marks: 70 Attempt all Sections. Assume missing data if any. SECTION A 1. Attempt all questions in brief. a. b. c. d. e. f. g. h. 2 x7 = 14 Write two properties of Complete Incidence matrix. Write Hybrid parameters in terms of Z parameters. State two properties of the R-L driving point Impedance function Describe the following: Tree, Co-Tree, Twig, Link, Cut-set and Tie set. State and describe the properties of RL and RC DPI Network. State and describe thevenin theorem with suitable example. Describe complex frequency in brief. Write the Z parameters for the given network. SECTION B 2. Attempt any three of the following: 7 x 3 = 21 a. For the given reduced incidence matrix. Draw thegraph and hence obtain the fcutset matrix b. For the network shown in Fig below drawthe directed graph. And also find number possibletree. 1|Page
c. Find current through 50 resistor using Thevenin's theorem. d. Test whether the polynomial P(s) is Hurwitz or not. (i) s5 + 3s2 + 2s (ii) s4 + 5s3 + 5s2 + 4s + I 0. Find Y and Z parameters of the network. e. SECTION C 3. Attempt any one part of the following: (a) (b) 4. 5. 7x1=7 State the properties of RL driving point impedance function .Also realize the given network impedance function using Foster form I Z(s)= (s+l)(s+3) / (s+2)(s+4) Explain the advantage of active filter in comparison to passive filter in detail. Attempt any one part of the following: 7x1=7 (a) For the given network function, draw the pole zerodiagram and hence obtain the time response I(t) (b) Design constant K low pass T and πsectionfilters to be terminated in 600 Ω having cut-offfrequency 3 kHz. Attempt any one part of the following: (a) 2|Page 7x1=7 Determine the currents in all the 'branches of thenetwork shown in fig.S using node analysis methodof the graph theory.
(b) 6. Attempt any one part of the following: (a) (b) 7. Explain following terms with reference to network topology (i) Tree (ii) Co-tree (iii) Incidence matrix (iv) Oriented graph (v) Twig and link Sketch the following signals:i). t2[U(t-1)-U(t-3)] ii). (t-4)[U(t-1)-U(t-4)] In the circuit shown v(t) =2u(t) and iL(O-) = 2 amps. Find andsketch l2(t). Attempt any one part of the following: (a) (b) 3|Page 7x1=7 7x1=7 State and prove the maximum power transfertheorem applied to the AC circuits. Determine the current in capacitor C by the principleof superposition of the network shown below