Circuit Theory - May 2013

Electronics Engineering (Semester 3)

TOTAL MARKS: 80
TOTAL TIME: 3 HOURS (1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Assume data if required.
(4) Figures to the right indicate full marks. 1 (a) Explain Y-parameter in terms of Z-parameters(5 marks) 1 (b) Draw the dual of the network shown in figure (a)(5 marks) 1 (c) Find the poles and zeros of impedance of the network shown in figure (c)
(5 marks) 1 (d) State the properties of prf(5 marks) 2 (a) Find the Thevin equivalent network of figure (c)
(10 marks) 2 (b) Find the current I₂ using mesh analysis of figure (d)
(10 marks) 3 (a) The switch is closed at t=0, find values of I, dI/dt , d²I/dt² at t=0⁺. Assume all initial current of inductor to be zero for circuit (e) (10 marks) 3 (b) Calculate the twig voltage using KVL equations for network shown in figure (f)(10 marks) 4 (a) Determine Y-parameter for network an figure (g)
(10 marks) 4 (b) In the network figure (h). Determine the currents i₁(t) and i₂(t) when the switch 'k' is closed at t=0 (10 marks) 5 (a) The pole-zero diagram of driving point impedance function of network figure (i). At d.c. the input impedance is resistive and equal to 2?. Determine the values of R-L and C (10 marks) 5 (b) Test whether the following polynomial are Hurwitz. Use continuous fraction expansion method :-
(i) s⁴+2s²+2
(ii) s⁷+2s⁶+2s⁵+s⁴+4s³+8s²+8s+4
(10 marks) 6 (a) Determine the node voltage at 1 and 2 of the network shown in figure (f). Use nodal analysis (10 marks) 6 (b) Find the response of V₀ (t) for network shown in figure (k) (10 marks) 7 (a) Realize the given expression in Foster I, Foster II, Cauer-I and Cauer-II form
$$z\left(s\right)=\frac{s\left(s+4\right)\left(s+8\right)}{\left(s^2+7s+6\right)}$$(20 marks)