1 (a)
The constants of a transmission lines are R=6/km, L=2.2mH/km

G=0.25×10

Determine the characteristic impedance propagation constant phase constant and attenuation constant at 1 KHz.

G=0.25×10

^{-6}mho/km C=0.005×10^{-5}F/kmDetermine the characteristic impedance propagation constant phase constant and attenuation constant at 1 KHz.

5 M

1 (b)
Obtain the expression for i(t) if switch is closed at t=0 If v(t) is i(t) = ramp signal

5 M

1 (c)
Check whether the polynomial is Hurwitz or not by continued fraction method. F(S)=S

^{4}+S^{3}+4S^{2}+2S+3.
5 M

1 (d)
Find out \(\dfrac {V_2}{V_1}\) for the following n/w given below.

5 M

2 (a)
Find the voltage across 5Ω resistor in the network shown below. If K=0.8 is coefficient of coupling.

8 M

2 (b)
In the circuit shown, find out the expression for voltage V(t) across capacitor for t>0 At t=0 Switch is closed.

8 M

2 (c)
Define ABCD parameters for the two port network hence obtain condition for symmetry.

4 M

3 (a)
Find \( i, \ \dfrac {di}{dt} \text{ and }\dfrac {d^2i}{dt^2} \text{ at }t=0^+ \) in the circuit given below. Switch is changed from position 1 to 2 at t=0.

6 M

3 (b)
Compare and Obtain Foster I and Foster II of the following RC impedance function. \[ Z(S) = \dfrac {2 (S+2)(S+4)}{(S+1)(S+3)} \]

8 M

3 (c)
Obtain Cauer form I of LC network \[ Z(s)= \dfrac {(s^2+4)(s^2+16)}{s(s^2+9)} \]

6 M

4 (a)
Derive the characteristic equation of a transmission line also obtain α β γ of the transmission line.

8 M

4 (b)
Derive the relation for nominal impedance and cut off frequency for a constant k low pass filter.

4 M

4 (c)
A network and its pole zero diagram are shown in fig. Determine the values of R, , C if Z(0)=1.

8 M

5 (a)
Check whether the following functions are PRF or not \[ i) \ F(s) = \dfrac {S(S+3)(S+5)}{(S+1)(S+4)} \\
ii) \ F(S) = \dfrac {S^3+6S^2 + 7S +3}{S^2 + 2S+1} \]

8 M

5 (b)
Find the current I

_{x}using superposition theorem.

6 M

5 (c)
The current \( I(S) = \dfrac {2S}{(S+1)(S+2)} \) plot the pole zero pattern in s-plane hence obtain i(t) by finding out residues by graphical method.

6 M

6 (a)
The characteristics impedance of a high frequency line is 100Ω. If it is terminated by a load impedance of 100 +j100Ω. Using smith chart find out (i) VSWR

(ii) Refection coefficient (iii) Impedance at \( \dfrac {1}{10} \) of wavelength away from load (iv) VSWR minimum and VSWR maximum away from the load.

(ii) Refection coefficient (iii) Impedance at \( \dfrac {1}{10} \) of wavelength away from load (iv) VSWR minimum and VSWR maximum away from the load.

8 M

6 (b)
For the network shown and find out \( \dfrac {v_1}{I_1} \text{ and } \dfrac {v_2}{I_1} \)

6 M

6 (c)
Find out Thevenin's equivalent network.

6 M

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