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BARC 2018 EE: Network Theory Nuclear Quiz 1

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Question 1

The Z matrix for the following circuit is

Question 2

Consider the bridge shown in below figure and the data given during the balanced condition
R1 = 81.9 Ω r1 = 43.1 Ω
R3 = 100 Ω r = 200 Ω
R4 = 200 Ω C = 1.4 F

The value of R2 is _______ Ω.

Question 3

Consider the following statements:
1. Poles and zeros are simple and interlace.
2. Residues at the poles on the imaginary axis are real.
3. .
4. The slopes of the reactance curves are positive.
Which of these properties are connect for an RC driving impedance

Question 4

A reduced incidence matrix of a graph is given by

The number of possible trees is

Question 5

Statement (I): Lossless network functions have only imaginary zeros and poles with only negative real parts.
Statement (II): Lossless network functions obey the separation property.
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Oct 22ESE & GATE EE