Circuits and Systems

Q6 Obtain the Z-parameters of the network

    VVVVVV V

(b) In the circuit, the switch is moved from position 1 to 2 at t=0

      Determine 

Write short note on:

(b) Cauer I and Il form

(a) Obtain the Laplace transcormation of

    where  in a constant.

Write short notes on

(a) LTI System and its properties 

Q8 For the given high pass filter,

      Find (a) cut-off frequency (b) Z_O at F= 

07 For the network of figure, find the current ratio transfer function 

Q5 For the network, choose 40 resistances as branch of tree. Determine

(a) Incidence matrix

(b) Tie-set matrix

(c) Cut-set matrix.

(b) For the network, find

(i) Initial rate of current i just after switching

(ii) Initial voltage acros R_o   

(iii) Voltage across the switch at the instant of separation.

(a) A 3-H inductor in the circuit of figure carries a 10-A initial current The switch is closed at t=0. Obtain the expression for i.

(a) Assume no initial charge on either of the capacitors and switch is closed at t=0, find i(t)

(b) A function is Laplace domain is given by

   Obtain its inverse form.

(a) Solve the differential equation

(e) Explain the terms

(i) Open circuit natural frequency

(ii) Short circuit natural frequency

for a network. Do these frequencies may have complex values?

(d) Derive the relationships

(i) Z-parametara in terms of hybrid parameters

(ii) Hybrid parameters in terms of Z parameters

(c) The switch of the circuit is opened at t=0. Determine the current and its derivative at t=O". 

(b) Synthesize the waveform

And also draw its three waveform components.