Directions:The following question consist of two statements, one labelled as ‘Statement (I)’ and the other as ‘Statement (II)’. You are to examine these two statements carefully and select the answers to these items using the code given below: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.Code:

Statement (I) is true but Statement (II) is false

Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I)

Both Statement (I and Statement (II) are individually true but Statement (II) is not the correct explanation of Statement (I)

Statement (I) is true but Statement (II) is false

Statement (I) is false but Statement (II) is true

Calculate the driving point impedance of the network shown in the figure below.

$\frac{(s^3+s^2+s+1)}{(s^2+1)}$

$\frac{(s^2+2s^2+s+1)}{(2s^2+1)}$

$\frac{(s^3+s^2+s+1)}{(s^2+1)}$

$\frac{(2s^2+1)}{(s^3+2s^2+s+1)}$

$\frac{(s^3+2s^2+s+1)}{(s^2+1)}$

A Hurtwiz polynomial D(s) must satisfy two conditions. One is the polynomial is real when s is real. What is the other condition?

Roots of D(s) have real parts which are positive or zero

Roots of D(s) have real parts which are positive and non-zero

Roots of D(s) have imaginary parts which are negative

Roots of D(s) have real parts which are either zero or negative

Roots of D(s) have real parts which are positive or zero

In the circuit below, what is the current drawn by C and the capacitive reactance respectively, if R dissipates a power of 100 W and I = 2 A.

√3 A and $\frac {100}{\sqrt{3}}$ Ω

1 A and $\frac {100}{\sqrt{3}}$ Ω

Match the List-I (Forms) with List-II (Networks) List I List IIA.Cauer I1.L in series arms and C in shunt arms of a ladderB.Cauer II2.C in series arms and L in shunt arms of a ladderC.Foster I3.Series combination of L and C in parallelD.Foster II4.Parallel combination of L and C in series

A – 1, B – 2, C – 4, D - 3

A – 1, B – 2, C – 3, D - 4

A – 1, B – 2, C – 4, D - 3

A – 2, B – 1, C – 4, D - 3

A – 2, B – 1, C – 3, D - 4

36 + Mcqs in Synthesis Rl Network Cauer in Network Theory Page 1 McqOptions

1.	Consider the impedance function, Z(s)=(2s2+8s+6)/(s2+8s+12). Find the value of R3 after converting into second Cauer form.
A.	1/5
B.	14/5
C.	5/14
D.	5
Answer» C. 5/14

Discussion

2.	Consider the impedance function, Z(s)=(2s2+8s+6)/(s2+8s+12). Find the value of L2 after converting into second Cauer form.
A.	5/50
B.	10
C.	5/49
D.	49/5
Answer» D. 49/5

Discussion

3.	Consider the impedance function, Z(s)=(2s2+8s+6)/(s2+8s+12). Find the value of R2 after converting into second Cauer form.
A.	6/7
B.	7/6
C.	7/8
D.	8/7
Answer» E.

Discussion

4.	Consider the impedance function, Z(s)=(2s2+8s+6)/(s2+8s+12). Find the value of L1 after converting into second Cauer form.
A.	1/3
B.	2/3
C.	3/3
D.	4/3
Answer» B. 2/3

Discussion

5.	Consider the impedance function, Z(s)=(2s2+8s+6)/(s2+8s+12). Find the value of R1 after converting into second Cauer form.
A.	1
B.	3/4
C.	1/2
D.	1/4
Answer» D. 1/4

Discussion

6.	Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of R3 after converting into first Cauer form.
A.	4
B.	3
C.	2
D.	1
Answer» C. 2

Discussion

7.	Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of L3 after converting into first Cauer form.
A.	4/3
B.	3/4
C.	4/5
D.	5/4
Answer» C. 4/5

Discussion

8.	Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of R2 after converting into first Cauer form.
A.	1/4
B.	2/4
C.	3/4
D.	4/4
Answer» D. 4/4

Discussion

9.	Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of L2 after converting into first Cauer form.
A.	1
B.	1/2
C.	1/4
D.	1/8
Answer» D. 1/8

Discussion

10.	Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of R1 after converting into first Cauer form.
A.	1
B.	2
C.	3
D.	4
Answer» B. 2

Discussion

11.	Directions:The following question consist of two statements, one labelled as ‘Statement (I)’ and the other as ‘Statement (II)’. You are to examine these two statements carefully and select the answers to these items using the code given below: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.Code:
A.	Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I)
B.	Both Statement (I and Statement (II) are individually true but Statement (II) is not the correct explanation of Statement (I)
C.	Statement (I) is true but Statement (II) is false
D.	Statement (I) is false but Statement (II) is true
Answer» C. Statement (I) is true but Statement (II) is false

Discussion

12.	A two-terminal network consists of a coil having inductance L and resistance R shunted by a capacitance C. the poles and zeros of the driving-point impedance function Z(ω) are located as poles at $\frac{-1}{2} \pm j\frac{\sqrt{3}}{2}$ and zero at -1. If Z(0) = 1, the values of R, L and C are
A.	1 Ω, 1 H and 1 μF
B.	1 Ω , 1 H and 1 F
C.	1 Ω, 1 μH and 1 F
D.	1 kΩ , 1 H and 1 F
Answer» C. 1 Ω, 1 μH and 1 F

Discussion

13.	Diving point impedance of the network shown in the figure given below is
A.	10 + 2s
B.	10 + 2s + (1/s)
C.	10
D.	1/s
Answer» C. 10

Discussion

14.	1)2)3)4)The valid pole-zero patterns RL driving point impedance function are
A.	1 and 2 only
B.	2 and 3 only
C.	3 and 4 only
D.	1, 2, 3 and 4
Answer» C. 3 and 4 only

Discussion

15.	If $Z\left( s \right) = \frac{{\left( {s + 4} \right)\left( {s + 9} \right)}}{{\left( {s + 1} \right)\left( {s + 16} \right)}}$ is a driving-point impedance, it represents an
A.	R-C impedance
B.	R-L impedance
C.	L-C impedance
D.	R-L-C impedance
Answer» E.

Discussion

16.	For a network transfer function $H(s) = \frac{P(s)}{Q(s)}$where P(s) and Q(s) are polynomials in S,1. The degree of P(s) and Q(s) are the same.2. The degree of P(s) is always greater thane the degree of Q(s)3. The degree of P(s) is independent of the degree of Q(s)4. The maximum degree of P(s) and Q(s) differ at most by one.Which of these statements are correct?
A.	1, 2, 3 and 4
B.	1, 2 and 3 only
C.	1, 2 and 4 only
D.	1, 3 and 4 only
Answer» E.

Discussion

17.	A one-port network consists of a capacitor of 2 F in parallel with a resistor of $\frac{1}{3}{\rm{\Omega }}$. Then the input admittance is
A.	2s + 3
B.	3s + 3
C.	$\frac{2}{s} + \frac{1}{3}$
D.	$\frac{s}{2} + 3$
Answer» B. 3s + 3

Discussion

18.	For the network shown in the given figure, find the input driving point impedance.
A.	2.75 ohm
B.	2.25 ohm
C.	2 ohm
D.	2.5 ohm
Answer» B. 2.25 ohm

Discussion

19.	A reactance function in the first Foster form has poles at ω = 0 and ω = ∞ . The black-box (B.B) in the network contains :
A.	An Inductor
B.	A Capacitor
C.	A parallel L-C circuit
D.	A series L-C circuit
Answer» E.

Discussion

20.	In an RC network having 3 loops, the size of the plant matrix A is:
A.	3 × 3
B.	4 × 4
C.	6 × 6
D.	5 × 5
Answer» B. 4 × 4

Discussion

21.	Calculate the driving point impedance of the network shown in the figure below.
A.	$\frac{(s^2+2s^2+s+1)}{(2s^2+1)}$
B.	$\frac{(s^3+s^2+s+1)}{(s^2+1)}$
C.	$\frac{(2s^2+1)}{(s^3+2s^2+s+1)}$
D.	$\frac{(s^3+2s^2+s+1)}{(s^2+1)}$
Answer» B. $\frac{(s^3+s^2+s+1)}{(s^2+1)}$

Discussion

22.	Consider the following functions:1. $\frac{{\left( {{s^2} + 1} \right)\left( {{s^2} + 3} \right)}}{{s\left( {{s^2} + 2} \right)}}$2. $\frac{{s\left( {{s^2} + 1} \right)\left( {{s^2} + 3} \right)}}{{\left( {{s^2} + 0.5} \right)\left( {{s^2} + 2} \right)}}$3. $\frac{{\left( {{s^4} + 4{s^2} + 3} \right)}}{{{s^2} + 2s}}$4. $\frac{{{s^5} + 4{s^3} + 3s}}{{{s^4} + 2.5s + 1}}$Which of the above function are LC driving point impedances?
A.	1, 2, 3 and 4
B.	2 and 3 only
C.	1 and 2 only
D.	3 and 4 only
Answer» D. 3 and 4 only

Discussion

23.	A resistance, an inductance and a capacitance are connected in series. The values of R, XL and XC are 20 Ω, 30 Ω and 10 Ω respectively. The net reactance of the circuit is:
A.	20 Ω
B.	10 Ω
C.	78.28 Ω
D.	zero
Answer» B. 10 Ω

Discussion

24.	Consider the following statements:1. Poles and zeros are simple and interlace.2. Residues at the poles on the imaginary axis are real.3. ZRC (0) > ZRC (∞).4. The slopes of the reactance curves are positive.Which of these properties are correct for an RC driving point impedance ZRC (s)?
A.	1 and 3 only
B.	2 and 4 only
C.	3 and 4 only
D.	1, 2, 3 and 4
Answer» B. 2 and 4 only

Discussion

25.	A network has 10 nodes and 17 branches. The number of different node pair voltages would be
A.	7
B.	9
C.	45
D.	10
Answer» D. 10

Discussion

26.	A Hurtwiz polynomial D(s) must satisfy two conditions. One is the polynomial is real when s is real. What is the other condition?
A.	Roots of D(s) have real parts which are positive and non-zero
B.	Roots of D(s) have imaginary parts which are negative
C.	Roots of D(s) have real parts which are either zero or negative
D.	Roots of D(s) have real parts which are positive or zero
Answer» D. Roots of D(s) have real parts which are positive or zero

Discussion

27.	For an L section, shown in the figure, find the iterative impedance at ports 1 and 2, respectively:
A.	100 Ω, 300 Ω
B.	200 Ω, 400 Ω
C.	200 Ω, 100 Ω
D.	400 Ω, 200 Ω
Answer» E.

Discussion

28.	In the circuit below, what is the current drawn by C and the capacitive reactance respectively, if R dissipates a power of 100 W and I = 2 A.
A.	√3 A and $\frac {100}{\sqrt{3}}$ Ω
B.	1 A and 100 Ω
C.	1 A and $\frac {100}{\sqrt{3}}$ Ω
D.	√3 A and 100 Ω
Answer» B. 1 A and 100 Ω

Discussion

29.	For an alternating voltage or current, one cycle is equal to:
A.	three alternations
B.	one alternation
C.	two alternations
D.	four alternations
Answer» D. four alternations

Discussion

30.	Match the List-I (Forms) with List-II (Networks) List I List IIA.Cauer I1.L in series arms and C in shunt arms of a ladderB.Cauer II2.C in series arms and L in shunt arms of a ladderC.Foster I3.Series combination of L and C in parallelD.Foster II4.Parallel combination of L and C in series
A.	A – 1, B – 2, C – 3, D - 4
B.	A – 1, B – 2, C – 4, D - 3
C.	A – 2, B – 1, C – 4, D - 3
D.	A – 2, B – 1, C – 3, D - 4
Answer» B. A – 1, B – 2, C – 4, D - 3

Discussion

31.	If i(t) = 50 cos (100πt + 10°) is the expression of a sinusoidal current, find the maximum amplitude.
A.	100 A
B.	86.6 A
C.	50 A
D.	70.7 A
Answer» D. 70.7 A

Discussion

32.	In a prototype filter the series arm and shunt arm impedance should be
A.	Zero
B.	Resistive
C.	Reactive and same type
D.	Reactive and opposite type
Answer» E.

Discussion

33.	FIND_THE_VALUE_OF_R₃_IN_QUESTION_6.?$
A.	1/5
B.	14/5
C.	5/14
D.	5
Answer» C. 5/14

Discussion

34.	Consider the impedance function; Z(s)=(2s²+8s+6)/( s²+8s+12). Find the value of R₁ after converting into second Cauer form.
A.	1
B.	3/4
C.	1/2
D.	1/4
Answer» D. 1/4

Discussion

35.	Find the value of L₂ in question 1.
A.	1
B.	1/2
C.	1/4
D.	1/8
Answer» D. 1/8

Discussion

36.	Consider the impedance function; Z(s)=((s+4)(s+8))/((s+2)(s+6)) . Find the value of R₁ after converting into first Cauer form.
A.	1
B.	2
C.	3
D.	4
Answer» B. 2

Discussion

Explore topic-wise MCQs in Network Theory.

Consider the impedance function, Z(s)=(2s2+8s+6)/(s2+8s+12). Find the value of R3 after converting into second Cauer form.

Consider the impedance function, Z(s)=(2s2+8s+6)/(s2+8s+12). Find the value of L2 after converting into second Cauer form.

Consider the impedance function, Z(s)=(2s2+8s+6)/(s2+8s+12). Find the value of R2 after converting into second Cauer form.

Consider the impedance function, Z(s)=(2s2+8s+6)/(s2+8s+12). Find the value of L1 after converting into second Cauer form.

Consider the impedance function, Z(s)=(2s2+8s+6)/(s2+8s+12). Find the value of R1 after converting into second Cauer form.

Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of R3 after converting into first Cauer form.

Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of L3 after converting into first Cauer form.

Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of R2 after converting into first Cauer form.

Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of L2 after converting into first Cauer form.

Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of R1 after converting into first Cauer form.

A two-terminal network consists of a coil having inductance L and resistance R shunted by a capacitance C. the poles and zeros of the driving-point impedance function Z(ω) are located as poles at \(\frac{-1}{2} \pm j\frac{\sqrt{3}}{2}\) and zero at -1. If Z(0) = 1, the values of R, L and C are

Diving point impedance of the network shown in the figure given below is

1)2)3)4)The valid pole-zero patterns RL driving point impedance function are

If \(Z\left( s \right) = \frac{{\left( {s + 4} \right)\left( {s + 9} \right)}}{{\left( {s + 1} \right)\left( {s + 16} \right)}}\) is a driving-point impedance, it represents an

A one-port network consists of a capacitor of 2 F in parallel with a resistor of \(\frac{1}{3}{\rm{\Omega }}\). Then the input admittance is

For the network shown in the given figure, find the input driving point impedance.

A reactance function in the first Foster form has poles at ω = 0 and ω = ∞ . The black-box (B.B) in the network contains :

In an RC network having 3 loops, the size of the plant matrix A is:

Calculate the driving point impedance of the network shown in the figure below.

A resistance, an inductance and a capacitance are connected in series. The values of R, XL and XC are 20 Ω, 30 Ω and 10 Ω respectively. The net reactance of the circuit is:

Consider the following statements:1. Poles and zeros are simple and interlace.2. Residues at the poles on the imaginary axis are real.3. ZRC (0) > ZRC (∞).4. The slopes of the reactance curves are positive.Which of these properties are correct for an RC driving point impedance ZRC (s)?

A network has 10 nodes and 17 branches. The number of different node pair voltages would be

A Hurtwiz polynomial D(s) must satisfy two conditions. One is the polynomial is real when s is real. What is the other condition?

For an L section, shown in the figure, find the iterative impedance at ports 1 and 2, respectively:

In the circuit below, what is the current drawn by C and the capacitive reactance respectively, if R dissipates a power of 100 W and I = 2 A.

For an alternating voltage or current, one cycle is equal to:

Match the List-I (Forms) with List-II (Networks) List I List IIA.Cauer I1.L in series arms and C in shunt arms of a ladderB.Cauer II2.C in series arms and L in shunt arms of a ladderC.Foster I3.Series combination of L and C in parallelD.Foster II4.Parallel combination of L and C in series

If i(t) = 50 cos (100πt + 10°) is the expression of a sinusoidal current, find the maximum amplitude.

In a prototype filter the series arm and shunt arm impedance should be

FIND_THE_VALUE_OF_R₃_IN_QUESTION_6.?$

Consider the impedance function; Z(s)=(2s²+8s+6)/( s²+8s+12). Find the value of R₁ after converting into second Cauer form.

Find the value of L₂ in question 1.

Consider the impedance function; Z(s)=((s+4)(s+8))/((s+2)(s+6)) . Find the value of R₁ after converting into first Cauer form.

16.	For a network transfer function \(H(s) = \frac{P(s)}{Q(s)}\)where P(s) and Q(s) are polynomials in S,1. The degree of P(s) and Q(s) are the same.2. The degree of P(s) is always greater thane the degree of Q(s)3. The degree of P(s) is independent of the degree of Q(s)4. The maximum degree of P(s) and Q(s) differ at most by one.Which of these statements are correct?
A.	1, 2, 3 and 4
B.	1, 2 and 3 only
C.	1, 2 and 4 only
D.	1, 3 and 4 only
Answer» E.

21.	Calculate the driving point impedance of the network shown in the figure below.
A.	\(\frac{(s^2+2s^2+s+1)}{(2s^2+1)}\)
B.	\(\frac{(s^3+s^2+s+1)}{(s^2+1)}\)
C.	\(\frac{(2s^2+1)}{(s^3+2s^2+s+1)}\)
D.	\(\frac{(s^3+2s^2+s+1)}{(s^2+1)}\)
Answer» B. \(\frac{(s^3+s^2+s+1)}{(s^2+1)}\)

22.	Consider the following functions:1. \(\frac{{\left( {{s^2} + 1} \right)\left( {{s^2} + 3} \right)}}{{s\left( {{s^2} + 2} \right)}}\)2. \(\frac{{s\left( {{s^2} + 1} \right)\left( {{s^2} + 3} \right)}}{{\left( {{s^2} + 0.5} \right)\left( {{s^2} + 2} \right)}}\)3. \(\frac{{\left( {{s^4} + 4{s^2} + 3} \right)}}{{{s^2} + 2s}}\)4. \(\frac{{{s^5} + 4{s^3} + 3s}}{{{s^4} + 2.5s + 1}}\)Which of the above function are LC driving point impedances?
A.	1, 2, 3 and 4
B.	2 and 3 only
C.	1 and 2 only
D.	3 and 4 only
Answer» D. 3 and 4 only

28.	In the circuit below, what is the current drawn by C and the capacitive reactance respectively, if R dissipates a power of 100 W and I = 2 A.
A.	√3 A and \(\frac {100}{\sqrt{3}}\) Ω
B.	1 A and 100 Ω
C.	1 A and \(\frac {100}{\sqrt{3}}\) Ω
D.	√3 A and 100 Ω
Answer» B. 1 A and 100 Ω

Explore topic-wise MCQs in Network Theory.

Consider the impedance function, Z(s)=(2s2+8s+6)/(s2+8s+12). Find the value of R3 after converting into second Cauer form.

Consider the impedance function, Z(s)=(2s2+8s+6)/(s2+8s+12). Find the value of L2 after converting into second Cauer form.

Consider the impedance function, Z(s)=(2s2+8s+6)/(s2+8s+12). Find the value of R2 after converting into second Cauer form.

Consider the impedance function, Z(s)=(2s2+8s+6)/(s2+8s+12). Find the value of L1 after converting into second Cauer form.

Consider the impedance function, Z(s)=(2s2+8s+6)/(s2+8s+12). Find the value of R1 after converting into second Cauer form.

Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of R3 after converting into first Cauer form.

Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of L3 after converting into first Cauer form.

Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of R2 after converting into first Cauer form.

Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of L2 after converting into first Cauer form.

Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of R1 after converting into first Cauer form.

A two-terminal network consists of a coil having inductance L and resistance R shunted by a capacitance C. the poles and zeros of the driving-point impedance function Z(ω) are located as poles at \(\frac{-1}{2} \pm j\frac{\sqrt{3}}{2}\) and zero at -1. If Z(0) = 1, the values of R, L and C are

Diving point impedance of the network shown in the figure given below is

1)2)3)4)The valid pole-zero patterns RL driving point impedance function are

If \(Z\left( s \right) = \frac{{\left( {s + 4} \right)\left( {s + 9} \right)}}{{\left( {s + 1} \right)\left( {s + 16} \right)}}\) is a driving-point impedance, it represents an

A one-port network consists of a capacitor of 2 F in parallel with a resistor of \(\frac{1}{3}{\rm{\Omega }}\). Then the input admittance is

For the network shown in the given figure, find the input driving point impedance.

A reactance function in the first Foster form has poles at ω = 0 and ω = ∞ . The black-box (B.B) in the network contains :

In an RC network having 3 loops, the size of the plant matrix A is:

Calculate the driving point impedance of the network shown in the figure below.

A resistance, an inductance and a capacitance are connected in series. The values of R, XL and XC are 20 Ω, 30 Ω and 10 Ω respectively. The net reactance of the circuit is:

Consider the following statements:1. Poles and zeros are simple and interlace.2. Residues at the poles on the imaginary axis are real.3. ZRC (0) > ZRC (∞).4. The slopes of the reactance curves are positive.Which of these properties are correct for an RC driving point impedance ZRC (s)?

A network has 10 nodes and 17 branches. The number of different node pair voltages would be

A Hurtwiz polynomial D(s) must satisfy two conditions. One is the polynomial is real when s is real. What is the other condition?

For an L section, shown in the figure, find the iterative impedance at ports 1 and 2, respectively:

In the circuit below, what is the current drawn by C and the capacitive reactance respectively, if R dissipates a power of 100 W and I = 2 A.

For an alternating voltage or current, one cycle is equal to:

Match the List-I (Forms) with List-II (Networks) List I List IIA.Cauer I1.L in series arms and C in shunt arms of a ladderB.Cauer II2.C in series arms and L in shunt arms of a ladderC.Foster I3.Series combination of L and C in parallelD.Foster II4.Parallel combination of L and C in series

If i(t) = 50 cos (100πt + 10°) is the expression of a sinusoidal current, find the maximum amplitude.

In a prototype filter the series arm and shunt arm impedance should be

FIND_THE_VALUE_OF_R3_IN_QUESTION_6.?$

Consider the impedance function; Z(s)=(2s2+8s+6)/( s2+8s+12). Find the value of R1 after converting into second Cauer form.

Find the value of L2 in question 1.

Consider the impedance function; Z(s)=((s+4)(s+8))/((s+2)(s+6)) . Find the value of R1 after converting into first Cauer form.

FIND_THE_VALUE_OF_R₃_IN_QUESTION_6.?$

Consider the impedance function; Z(s)=(2s²+8s+6)/( s²+8s+12). Find the value of R₁ after converting into second Cauer form.

Find the value of L₂ in question 1.

Consider the impedance function; Z(s)=((s+4)(s+8))/((s+2)(s+6)) . Find the value of R₁ after converting into first Cauer form.