z11 = 2.75 Ω and z12 = 0.25 Ω

GATE EC||NETWORK THEORY||NETWORK FUNCTIONS||PYQS(2000-2025)

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Question 1

The first and the last critical frequency of an RC-driving point impedance function must respectively be

( PYQ || 2005 MCQ || 2 marks)

a zero and a pole
a zero and a zero
a pole and a pole
a pole and a zero

Question 2

The driving-point impedance Z(s) of a network has the pole-zero locations as shown in the figure. If Z(0) = 3, then Z(s) is

(PYQ || 2003 MCQ || 2 marks)

Question 3

A negative resistance R_neg is connected to a passive network N having driving point impedance as shown below. For Z₂(s) to be positive real

(PYQ || 2006 MCQ || 2 marks)

Question 4

The first and the last critical frequencies (singularities) of a driving point impedance function of a passive network having two kinds of elements, are a pole and a zero respectively. The above property will be satisfied by

(PYQ || 2006 MCQ || 2 marks)

RL network only
RC network only
LC network only
RC as well as RL networks

Question 5

( PYQ || 2013 MCQ ||1 marks)

Question 6

Consider the building block called 'Network N' shown in the figure.

Let C = 100 μF and R = 10 kΩ

(PYQ || 2014 MCQ || 2 marks

Question 7

Consider the building block called 'Network N' shown in the figure.

Let C = 100 μF and R = 10 kΩ

(PYQ || 2014 MCQ || 2 marks)

Question 8

2003 || MCQ || 2 marks

z₁₁ = 2.75 Ω and z₁₂ = 0.25 Ω
z₁₁ = 3 Ω and z₁₂ = 0.5 Ω
z₁₁ = 3 Ω and z₁₂ = 0.25 Ω
z₁₁ = 2.25 Ω and z₁₂ = 0.5 Ω

Question 9

2003 MCQ || 2 mark

z₁₁ = 2.75 Ω and z₁₂ = 0.25 Ω
z₁₁ = 3 Ω and z₁₂ = 0.5 Ω
z₁₁ = 3 Ω and z₁₂ = 0.25 Ω
z₁₁ = 2.25 Ω and z₁₂ = 0.5 Ω

Question 10

A series RLC circuit has a quality factor Q of 1000 at a center frequency of 106rad/s106rad/s. The possible values of R,L and C are

(PYQ || 2023 MCQ ||1 marks)

R=1Ω,L=1μH and C=1μFC=1μF
R=0.1Ω,L=1μH and C=1μFC=1μF
R=0.01Ω,L=1μH and C=1μFC=1μF
R=0.001Ω,L=1μH and C=1μFC=1μF

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