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Code: 13A04101
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R13
B.Tech I Year (R13) Supplementary Examinations December/January 2014/2015
NETWORK ANALYSIS
Time: 3 hours Max. Marks: 70
(Common to ECE and EIE)
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PART - A
(Compulsory Question)
1 Answer the following: (10 X 02 = 20 Marks)
- (a) For a network of seven branches and four nodes, the number of independent loops will be
- (b) The number of independent loops for a network with n nodes and b branches are---------
- (c) In a series RLC circuit with output taken across C, the poles of the transfer function are located at - a ± jß. The frequency of maximum response is given by
- (d) The free response of RL and RC series networks having a time constant t is of the form-----
- (e) The natural response of a network is of the form (A1 + A2 t + A3 t²) e?. The network must have repeated poles at s = 1 with multiplicity
- (f) The mutual inductance M associated with the two coupled inductances L1 and L2 and is related to the coefficient of coupling K is
- (g) A 2 port network using Z parameter representation is said to be reciprocal if
- (h) Two inductors of values L1 and L2 are coupled by a mutual inductance M. By inter connection of the two elements, one can obtain a maximum inductance of
- (i) ?p – section filter comprises a series arm inductance of 20 mH & two shunt capacitors each of 0.16 microfarad. Calculate the attenuation at 15 KHz.
- (j) A second order band pass filter has a value of 10 for the ratio of center frequency to bandwidth. The filter can be realized with
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PART - B
(Answer all five units, 5 X 10 = 50 Marks)
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UNIT - 1
2 (a) Find the node voltage V1, V2, and V3 for the circuit given figure below.
(b) State and explain Tellegen's theorem
OR
3 (a) Using KCL and KVL, find the currents in all the sources of the circuit of the following figure.
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(b) Explain Miller's theorem with an example.
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FirstRanker's choice
Code: 13A04101
UNIT - II
4 (a) Define circuit transient, time constant, natural response and forced response.
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(b) An exponential voltage V(t) = e? is suddenly applied at t = 0 to a series RC circuit with R = 9 O, C = 0.25F. Obtain particular solution for current i(t) through the circuit if the initial charge across the capacitor C is zero.
OR
5 (a) Deduce the transient response of RL series circuit excited by DC source.
(b) In the series RL circuit the switch is closed on position (1) at t=0, and then at t = t'= 50 µ sec, it is moved to position (2) Find the expression for current in the intervals 0 < t < t' and t < t'. Shown in figure below.
UNIT - III
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6 (a) Obtain the expression for resonance frequency of a parallel resonant circuit shown in the figure below. Find the condition for resonance at all frequencies.
(b) Define self-inductance of a coil, mutual inductance between two coils and coefficient of coupling. Derive the relation between the self, mutual inductances and coefficient of coupling.
OR
7 (a) A RLC series circuit of 8 O resistance should be designed to have a bandwidth of 50 Hz. Determine the values of L and C so that the system resonates at 250 Hz.
(b) Distinguish between reactance, impedance, admittance and suceptance
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UNIT - IV
8 (a) Obtain the transmission parameters of the 2-port network shown in figure below.
(b) Design a high pass filter with a cut-off frequency of 1 KHz with a terminated design impedance of 800 O.
OR
9 (a) For the following network, obtain the impedance parameters and hence determine transmission parameters.
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(b) Derive the relation between Y and h parameters.
UNIT - V
10 (a) What is the difference between constant - k and m-derived filters?
(b) Design a high pass ? network, having a cut-off frequency of 3250 Hz. The frequency of infinite attenuation may be taken as 2750 Hz. The characteristic impedance is 450 O.
OR
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11 (a) Explain what is meant by constant k-filters. Classify them.
(b) Design an m-derived T section low pass filter having a design impedance of 600 O, cut-off frequency of 2400 Hz and infinite attenuation at 2500 Hz.
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