| CS-201 ANALYSIS AND SYNTHESIS OF NETWORKS (B.Tech 3rd Semester, 5001) Time : 3 Hours Maximum Marks : 60 NOTE:- This paper consist of Three Sections. Section A is compulsory. Do any Four questions from Section B and any two questions from Section C Section-A Marks : 20 1 (a) What is the value of a unit impulse function δ(t)for t>0?: (b) Give Is and Ip for a transformer with a 20 : 1 voltage step down ratio and has 6V across 0.6 ohm in the secondary. (c)What is the phase difference between applied voltage and current in a circuit having 90 ohm resistance in series with 90 ohm capacitive reactance. (d) Thenvenin's theorem can be applied to calculate current in what type of load?. (e)What is the no. of independent loops in a network containig a conventional transformer and 8 elements with 5 nodes? (f) Write the inttegral representating the convolution of two functions f1(t) and f2. (g) Give the laplace transform of a delayed unit impulse function δ (t-1). (h) Voltage e1= 60 sin (ωt-30)and e2= 10 cos ωt; are given. Which voltages lags and by what amount? (i) Give the primary leakage inductance of a transformer with primary and secondary windings of 2H with dots placed at the top. (j) Write the transfer function of an electrical low pass RC network. Section-B Marks:5 Each 2. Draw the circuit diagram of a series RLC circuit fed by a votage V = Vmcos ωt and obtain expressins for current, voltage and phase difference between the two. 3. Draw the equilent circuit of an iron transformer fed by a voltage sourse. Write down the KVL equations adn draw the final circuit of the coupled system. 4. Give a comparision between lograthmic and Laplace transformation. Show how inverse Laplace transformation converts frequency domain function F(s0 to time domain function f(t). 5. Obtain the laplace transform of : (a) f(t)=exp(at) (b) f(t)=sin ωt 6.Using laplace transform obtain an expression for current in a series R-C circuit enerized by a dc voltage V. Draw also i(t) Vs t graph.. Section-C Marks : 10 Each 7. Give the difference between the transmission and inverse Transmission Parameteres for a two port network. Give also the condition for reciprocity and symmetry. 8. draw the T and π-sections of a conventional filter using impedences Z1 and Z2. Show that they can be made eqilent to two L or two T sections. Finally obtain the input impedence of a π-section filter. 9.Write short notes on any two of the following : (a) Convolution Theorem (b) Constant K-filters (c) Impulse- Response. |
| ANALYSIS AND SYNTHESIS OF NETWORKS |
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