250+ TOP MCQs on Network Function for the One-Port and Two-Port and Answers

Network Theory Multiple Choice Questions on “Network Function for the One-Port and Two-Port”.

1. The ratio of voltage transform at first port to the voltage transform at the second port is called?
A. Voltage transfer ratio
B. Current transfer ratio
C. Transfer impedance
D. Transfer admittance

Answer: A
Clarification: Voltage transfer ratio is the ratio of voltage transform at first port to the voltage transform at the second port and is denoted by G(s). G₂₁ = V₂(s)/V₁(s) G₁₂ = V₁(s)/V₂(s).

2. The ratio of the current transform at one port to current transform at other port is called?
A. Transfer admittance
B. Transfer impedance
C. Current transfer ratio
D. Voltage transfer ratio

Answer: C
Clarification: Current transfer ratio is the ratio of the current transform at one port to current transform at other port and is denoted by α(s). α₁₂(s) = I₁(s)/I₂(s) α₂₁(s) = I₂(s)/I₁(s).

3. The ratio of voltage transform at the first port to the current transform at the second port is called?
A. Voltage transfer ratio
B. Transfer admittance
C. Current transfer ratio
D. Transfer impedance

Answer: D
Clarification: Transfer impedance is the ratio of voltage transform at first port to the current transform at the second port and is denoted by Z(s). Z₂₁(s) = V₂(s)/I₁(s) Z₁₂(s) = V₁(s)/I₂(s).

4. For the network shown in the figure, find the driving point impedance.
A. (s²-2s+1)/s
B. (s²+2s+1)/s
C. (s²-2s-1)/s
D. (s²+2s-1)/s

Answer: B
Clarification: Applying Kirchoff’s law at port 1, Z(S)=V(S)/I(S), where V(s) is applied at port 1 and I(s) is current flowinmg through the network. Then Z(S)=V(S)/I(S) = 2+S+1/S = (s²+2s+1)/s.

5. Obtain the transfer function G₂₁ (S) in the circuit shown below.
network-function-one-port-q5″>network-function-one-port-q5″ alt=”network-theory-questions-answers-network-function-one-port-q5″ width=”300″ height=”113″ class=”alignnone size-full wp-image-170472″>
A. (s+1)/s
B. s+1
C. s
D. s/(s+1)

Answer: D
Clarification: Applying Kirchhoff’s law V₁ (S) = 2 I₁ (S) + 2 sI₁ (S) V₂ (S) = I₁ (S) X 2s Hence G₂₁ (S) = V₂(s)/V₁(s) = 2 s/(2+2 s)=s/(s+1).

6. Determine the transfer function Z₂₁ (S) in the circuit shown below.
network-function-one-port-q5″>network-function-one-port-q5″ alt=”network-theory-questions-answers-network-function-one-port-q5″ width=”300″ height=”113″ class=”alignnone size-full wp-image-170472″>
A. s
B. 2 s
C. 3 s
D. 4 s

Answer: B
Clarification: The transfer function Z₂₁ (S) is Z₂₁ (S) = V₂(S)/I₁(S). V₂ (S) = I₁ (S) X 2s. V₂(S)/I₁(S)=2s. On substituting Z₂₁ (S) = 2s.

7. Find the driving point impedance Z₁₁ (S) in the circuit shown below.

A. 2(s+2)
B. (s+2)
C. 2(s+1)
D. (s+1)

Answer: C
Clarification: The driving point impedance Z₁₁ (S) is Z₁₁ (S)=V₁(S)/I₁(S). V₁ (S) = 2 I₁ (S) + 2 sI₁ (S) => V₁(S) = (2+2s)I₁(S) => V₁(S)/I₁(S) = 2(s+1). On substituting Z₁₁ (S) = 2(S+1).

8. Obtain the transfer function G₂₁ (s) in the circuit shown below.

A. (8 S+2)/(8 S+1)
B. (8 S+2)/(8 S+2)
C. (8 S+2)/(8 S+3)
D. (8 S+2)/(8 S+4)

Answer: D
Clarification: From the circuit, the parallel combination of resistance and capacitance can be combined into equivalent in impedance. Z_eq(S) = 1/(2 S+1/2)=2/(4 S+1). Applying Kirchhoff’s laws, we have V₂ (S) = 2 I₁(S) => V₁ (S) = I₁ (S)[2/(4 S+1)+2]
= I₁ (S)[(8 S+4)/(4 S+1)] The transfer function G₂₁ (s) = V₂(s)/V₁(s) = 2 I₁(S)/((8 S+4)/(4 S+1))I₁(S) = (8 S+2)/(8 S+4).

9. Obtain the transfer function Z₂₁(s) in the circuit shown below.

A. 1
B. 2
C. 3
D. 4

Answer: B
Clarification: The transfer function Z₂₁(s) is Z₂₁ (S) = V₂(S)/I₁(S). V₂ (S) = 2 I₁(S) => V₂ (S)/I₁ = 2. On substituting Z₂₁(s) = 2.

10. Determine the driving point impedance Z₁₁(S) in the circuit shown below.

A. (8 S+4)/(4 S+4)
B. (8 S+4)/(4 S+3)
C. (8 S+4)/(4 S+2)
D. (8 S+4)/(4 S+1)

Answer: D
Clarification: The driving point impedance Z₁₁(S) is Z₁₁(S) = V₁(s)/I₁(s). V₁(s) = I₁(s)((2/(4s+1))+2) = I₁(s)((8s+4)/(4s+1)) => V₁(s)/I₁(s) = ((8s+4)/(4s+1)). On substituting we get Z₁₁(S) = (8S+4)/(4S+1).