Download GTU BE/B.Tech 2018 Winter 3rd Sem Old 130901 Circuits And Networks Question Paper

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Subject Code: 130901

GUJARAT TECHNOLOGICAL UNIVERSITY

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BE - SEMESTER-III (OLD) EXAMINATION — WINTER 2018

Date: 28/11/2018

Subject Name: Circuits And Networks

Time: 10:30 AM TO 01:00 PM

Instructions:

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1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1

1. (a) Define self and mutual inductance with dot convection method (07)

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2. (b) What is mesh? Determine i1, i2, and i3 using Mesh analysis as shown in Fig 1.1 (07)

Q.2

1. (a) State, Prove and Summarize conditions for Maximum power transfer in DC circuit and different case in AC circuit. (07)
2. (b) Compare Thevenin theorem and Norton theorem. (07)

OR

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1. (b) Classify DC response of first order RL and RC circuits (07)

Q.3

1. (a) Analyze time domain response of source free second order linear networks (07)
2. (b) In the network of figure 3.1, If t=0, switch ‘k’ is closed. Find the values of i, di/dt and d2 i/dt2 at t =0+ for element values as follows; V=100V, R= 100O and L= 1H. (07)

OR

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1. (a) Analyze time domain response of second order linear networks with constant inputs (07)
2. (b) Consider the R-C circuit shown in fig 3.2, switch ‘S’ is closed at t=0 and assume that there is no initial charge in the capacitor. Find the initial conditions i(0+ ) and di(0+ )/dt. Discuss this for RLC series circuit. (07)

Q.4

1. (a) A function in Laplace domain is given by:
   F(S) = 2(s+4) / (s+3)(s+8)
   

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   Find the initial and final value by initial and final value theorem. (07)
2. (b) A 10 volts step voltage is applied across a RC circuit at t=0. Find I(t) at t=0+ and obtain the value of di/dt|t=0+ . Assume R=100O, C=100µF (07)

OR

1. (a) The system response of a function in frequency domain is described by the following equation:
   S²F(s) + sF(s) = 2 / S²
   

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   Find f(t). (07)
2. (b) A differential equation is represented by:
   d²x / dt² - x = e^t
   Assuming zero initial condition, find x(t) at t>0 (07)

Q.5

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1. (a) Derive the condition of reciprocity and symmetry in Z-parameter and Describe cut-set method (07)
2. (b) Derive equation of ABCD parameters in terms of h-parameter (07)

OR

1. (a) Describe Tie-set method (07)

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Total Marks: 70

Fig 1.1

Fig 3.1 Fig 3.2

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