Network Theory Multiple Choice Questions on “Image Parameters”.
1. A network is said to be symmetrical if the relation between A and D is?
A. A = D
B. A = 2 D
C. A = 3 D
D. A = 4 D
Answer: A
Clarification: We know V1=AV2-BI2 and I1=CV2-DI2. If the network is symmetrical, then the relation between A and D is A = D.
2. The relation between Z11 and Z12 if the network is symmetrical is?
A. Z11 = 2 Z12
B. Z11 = Z12
C. Z11 = 3 Z12
D. Z11 = 4 Z12
Answer: B
Clarification: For a network to be symmetrical A=D. So the relation between Z11 and Z12 for the network is symmetrical is Z11 = Z12.
3. The relation between Z12 and Z11 and B and C parameters if the network is symmetrical is?
A. Z11 = Z12 = B/C
B. Z11 = Z12 = C/B
C. Z11 = Z12 = √(B/C.
D. Z11 = Z12 = √(C/B.
Answer: C
Clarification: For symmetrical network, A=D. On substituting this we get the relation between Z12 and Z11 and B and C parameters if the network is symmetrical is Z11 = Z12 = √(B/C..
4. Determine the transmission parameter A in the circuit shown below.
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A. 3/4
B. 4/3
C. 5/6
D. 6/5
Answer: D
Clarification: We know V1=AV2-BI2 and I1=CV2-DI2. A=(V1/V2) |I2=0. On solving we get the transmission parameter A as A = 6/5.
5. Determine the transmission parameter B in the circuit shown below.
A. 17/5
B. 5/17
C. 13/5
D. 5/13
Answer: A
Clarification: The transmission parameter B is -V1/I2 |V2=0. On short cicuiting the port 2, from the circuit we get -I2 = (5/17)V1 => -V1/I2 = 17/5. On substituting we get B = 17/5.
6. Determine the transmission parameter C in the circuit shown below.
A. 2/5
B. 1/5
C. 4/5
D. 3/5
Answer: B
Clarification: The transmission parameter C is I1/V2 |I2=0. This parameter is obtained by open circuiting the port 2. So we get V2 = 5I1 => I1/V2 = 1/5. On substituting, we get C = 1/5.
7. Determine the transmission parameter D in the circuit shown below.
A. 3/5
B. 4/5
C. 7/5
D. 2/5
Answer: C
Clarification: The transmission parameter D is -I1/I2 |V2=0. This is obtained by short circuiting the port 2. We get I1 = (7/17)V1 and -I2 = (5/17)V1. On solving, we get -I1/I2 = 7/5. On substituting we get D = 7/5.
8. The value of Z11 in the circuit shown below is?
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A. 1.8
B. 2.8
C. 3.8
D. 4.8
Answer: C
Clarification: The relation between Z11 and ABCD parameters is Z11=√(AB/CD.. We know A = 6/5, B = 17/5, C = 1/5, D = 7/5. On substituting, Z11 = √((6/5×17/5)/(1/5×7/5)) = 3.8Ω.
9. The value of Z12 in the circuit shown below is?
A. 1.1
B. 2.2
C. 3.3
D. 4.4
Answer: D
Clarification: The relation between Z12 and ABCD parameters is Z12=√(BD/AC.. We got B = 17/5, D = 7/5, A = 6/5, C = 1/5. On substituting Z12 = √(BD/AC. = √((17/5×7/5)/(6/5×1/5)) = 4.4Ω.
10. Determine the value of Ø in the circuit shown below.
A. 0.25
B. 0.5
C. 0.75
D. 1
Answer: C
Clarification: Ø is called image transfer constant and it is also used to describe reciprocal networks and this parameter is obtained from the voltage and current ratios. We know Ø = tanh-1√(BC/AD. = tanh-1√(17/42) = 0.75.
