1(a)
In the network shown in fig. (1), find the voltages V

!mage

_{1}and V_{2}!mage

5 M

1(b)
For the network shown in fig(2), determine the current i(t) when the switch is closed at t = 0 with zero initial conditions.

!mage

!mage

5 M

1(c)
Find the equivalent of symmetric π -network shown in figure (3).

!mage

!mage

5 M

1(d)
Define the following parameters of transmission line

i) Input impedance

ii) Characteristics impedance

iii) VSWR

iv) Reflection coefficient

v) Transmission coefficient

i) Input impedance

ii) Characteristics impedance

iii) VSWR

iv) Reflection coefficient

v) Transmission coefficient

5 M

2(a)
In the network shown in fig.(4) the switch closese at t = 0. The capacitor has no initial charge. Find V

!mage

_{C}(t) and i_{C}(t).!mage

10 M

2(b)
Determine the transmission parameters of the network shown in fig (5) using the concept of inter connection of two port network.

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!mage

10 M

3(a)
For the network shown in fig (6), calculate the maximum power that may be dissipated in the load resistoo R

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_{L}.!mage

10 M

3(b)
A load impedance Z

_{L}=(30 +j 60)Ω is connected a 50Ω transmission line of 2 cm length and operated at 2 Ghz. Using Smith Chart, find the imput impedance of transmission line under the assumption that phase velocity is 50% of speed of light.
10 M

4(a)
An impedance is given by-

\[Z(s)=\frac{8\left ( S^2+1 \right )\left ( s^2+3 \right )}{s\left ( s^2+2 \right )\left ( s^2+4 \right )}\] Realise the network in Foster-I and Cauer-I from

\[Z(s)=\frac{8\left ( S^2+1 \right )\left ( s^2+3 \right )}{s\left ( s^2+2 \right )\left ( s^2+4 \right )}\] Realise the network in Foster-I and Cauer-I from

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4(b)
In the coupled circuit of figure (7), find the input impedance as well as the net inductance.

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!mage

10 M

5(a)
Find the open circuit impedance parameters of the circuit shown in fig. (8). Also find the Y parameters.

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!mage

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5(b)(i)
i) State properties of LC driving point impedance functions.

5 M

5(b)(ii)
Test whether the polynomial is Hurwitz

\[p(s)= S^7+2S^6+2S^5+S^4+4S^3+8S^2+8S+4\]

\[p(s)= S^7+2S^6+2S^5+S^4+4S^3+8S^2+8S+4\]

5 M

6(a)
A c0-axial line has the following parameters

R=6Ω/m

L=5.2×10

G=6×10

C= 2.136×10

f = 1GHz

Z

Compute the following parameter using formulacs

i) Characteritics impedance

ii) Propagation constant

iii) Reflection coefficient at the load

iv) Transmission coefficient at the load

R=6Ω/m

L=5.2×10

^{-8}H/mG=6×10

^{-3}mho/mC= 2.136×10

^{-10}F/mf = 1GHz

Z

_{L}=(100+ j 100) ΩCompute the following parameter using formulacs

i) Characteritics impedance

ii) Propagation constant

iii) Reflection coefficient at the load

iv) Transmission coefficient at the load

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6(b)
In the network shown in fig.(9), the switch is closed at t=0. Find the current i

!mage

_{1}(t) and i_{2}(t) whe initial current through the inductor is zero and initial voltage is 4 volt.!mage

10 M

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