NETWORK ANALYSIS AND SYNTHESIS - MID-II MCQs

NETWORK ANALYSIS AND SYNTHESIS

MID-II PRACTICE QUESTIONS

MULTIPLE CHOICE QUESTION AND ANSWERS

======================================================================

1. For the circuit given below, the value of the z₂₂ parameter is ___________.

A) z₂₂ = 1 Ω
B) z₂₂ = 4 Ω
C) z₂₂ = 1.667 Ω
D) z₂₂ = 2.33 Ω

Answer is C)

Explanation: z₁₁ = \(\frac{V_1}{I_1}\) = 1 + 6 || (4+2) = 4Ω
I₀ = \(\frac{1}{2} I_1 \)
V₂ = 2I₀ = I₁
z₂₁ = \(\frac{V_2}{I_1}\) = 1Ω
z₂₂ = \(\frac{V_2}{I_2}\) = 2 || (4+6) = 1.667Ω
So, I’₀ = \(\frac{2}{2+10}I_2 = \frac{1}{6}I_2 \)
V₁ = 6I’₀ = I₂
z₁₂ = \(\frac{V_1}{I_2}\) = 1Ω
Hence, [z] = [4:1; 1:1.667] Ω.

2. A two port network is symmetrical if

A) Z₁₁Z₂₂ - Z₁₂Z₂₁ = 1
B) AD - BC = 1
C) h₁₁h₂₂ - h₁₂h₂₁ = 1
D) Y₁₁Y₂₂ - Y₁₂Y₂₁ = 1
Answer is C)
A two-port network is said to be symmetrical if the input and output ports can be interchanged without altering the port voltages and currents.
A network is said to be reciprocal if the ratio of the response to the excitation is invariant to an interchange of the positions of the excitation and response of the network.

3. If C is the total series capacitance L is the total shunt inductance of T or π – type high pass filter, the frequency range for the stop band of the filter is.

A) A correct
B) A and B Correct.
C) D only Correct
D) C and D Correct.
Answer is C)

4. In case of m – derived low pass filter, the value of m is ______________________

A) m=√(1+(f_c/f_r)²)
B) m=√(1+(f_c/f)²)
C) m=√(1-(f_c/f_r)²)
D) m=√(1-(f_c/f)²)

Answer is C)

Explanation: As f_r=f_c/√(1-m²). The expression of m of the m-derived low pass filter is m=√(1-(f_c/f_r)²).

5.Characteristic impedance of a symmetrical T network is _________________.

A) Z_OT=√(Z₁²/4-Z₁Z₂)
B) Z_OT=√(Z₁²/4+Z₁)
C) Z_OT=√(Z₁²/4+Z₂)
D) Z_OT=√(Z₁²/4+Z₁Z₂)

Answer is D)

Explanation: For a T-section, the value of input impedance when it is terminated in Z_o is
Z_in=(Z₁/2)+(Z₂((Z₁/2)+Z_o))/((Z₁/2)+Z₂+Z_o) and Z_in=Z_o. On solving, the expression of the characteristic impedance of a symmetrical T-section is Z_OT=√(Z₁²/4+Z₁Z₂).

6. Characteristic impedance of a symmetrical π network _________________

A) Z_Oπ = Z₁Z₂/Z_OT
B) Z_Oπ = Z¹Z²/Z_OT
C) Z_Oπ = Z¹Z₂/Z_OT
Z_Oπ = Z₁Z²/Z_OT

Answer is A)

Explanation: Z_Oπ = Z₁Z₂/Z_OT.

7. In case of realization of RC functions the slope d/dσ Z_RC is _____________.

A) Z_RC(0) ≥ Z_RC(∞)
B) Z_RC(0) > Z_RC(∞)
C) Z_RC(0) = Z_RC(∞)
D) Z_RC(0) ≤ Z_RC(∞)

Answer is B)

Explanation: Z_RC(0) > Z_RC(∞) .

8 The phase constant β of a filter during stop band is

A) Zero Radian
B) 2
C) π
D) 2π

Answer is C)

Explanation: We know that in the attenuation band, Z₁/4Z₂ < -1 i.e., f/fc < 1. So the value of β in the pass band of constant k-low pass filter is β = π.

9. The application of the bisection theorem finds out an equivalent lattice network if the original network is

A) Symmetrical and balanced only
B) unsymmetrical and balanced only
C) Symmetrical, balanced and unbalanced only
D) Symmetrical and unbalanced only

Answer is C)

Explanation: Symmetrical, balanced and unbalanced only.

10.As the poles of a network shifting away from the x-axis, the response is

A) Remains constant
B) Becomes less oscillating
C) Become more Oscillating
D) None of the above.

Answer is A)

Explanation: A system having one or more poles lying on the imaginary axis of the s-plane has non-decaying oscillatory components in its homogeneous response.