Network Theory Problems on “Inner Relationships of Different Parameters”.
1. For the given information Z11 = 3, Z12 = 1, Z21 = 2, Z22 = 1. Find the value of Y11.
A. 1
B. -1
C. 2
D. -2
Answer: A
Clarification: Y11 = Z22/∆z and ∆z=3-2=1 and Z22 = 1. So on substituting we get Y11 = 1/1 = 1.
2. For the given information Z11 = 3, Z12 = 1, Z21 = 2, Z22 = 1. Find the value of Y12.
A. -2
B. 2
C. -1
D. 1
Answer: C
Clarification: Y12 = -Z12/∆z and ∆z=3-2=1 and Z12 = 1. So on substituting we get Y12=-1/1=-1.
3. For the given information Z11 = 3, Z12 = 1, Z21 = 2, Z22 = 1. Find the value of Y21.
A. 2
B. -2
C. 1
D. -1
Answer: B
Clarification: We have the relation Y21=-Z21/∆z. ∆z=3-2=1 and given Z21 = 2. On substituting we get Y21=-2/1=-2.
4. For the given information Z11 = 3, Z12 = 1, Z21 = 2, Z22 = 1. Find the value of Y22.
A. 1
B. 2
C. 3
D. 4
Answer: C
Clarification: The relation between Y22 and Z11 is Y22= Z11/∆z and ∆z=3-2=1 and given Z11 = 3. On substituting we get Y22 = 3/1 = 3.
5. For the given information Z11 = 3, Z12 = 1, Z21 = 2, Z22 = 1. What is the value ∆y?
A. 0
B. 1
C. 2
D. 3
Answer: B
Clarification: ∆y is the determinant of y parameters. The value ∆y is (Y11)(Y22)-(Y12)(Y21). On substituting the values we get ∆y = (1)(3)-(-2)(-1)=1.
6. For the given information Z11 = 3, Z12 = 1, Z21 = 2, Z22 = 1. What is the product of ∆y and ∆z is?
A. 3
B. 2
C. 1
D. 0
Answer: C
Clarification: ∆y is the determinant of y parameters and ∆z is the determinant of z parameters. And we obtained ∆y = 1 and ∆z = 1. So their product = (1) (1) = 1.
7. The relation between Z11 and Y parameters is?
A. Z11 = Y22/∆y
B. Z11 = -Y22/∆y
C. Z11 = Y12/∆y
D. Z11 = (-Y12)/∆y
Answer: A
Clarification: V1=(Y22/∆y)I1-(Y12/∆y)I2. The relation between Z11 and Y parameters is Z11 = Y22/∆y.
8. The relation between Z12 and Y parameters is?
A. Z12 = Y12/∆y
B. Z12 = (-Y12)/∆y
C. Z12 = (-Y22)/∆y
D. Z12 = Y22/∆y
Answer: B
Clarification: V1=(Y22/∆y)I1-(Y12/∆y)I2. The relation between Z12 and Y parameters is Z12 = (-Y12)/∆y.
9. The relation between Z21 and Y parameters is?
A. Z21 = Y21/∆y
B. Z21 = Y12/∆y
C. Z21 = (-Y21)/∆y
D. Z21 = (-Y12)/∆y
Answer: C
Clarification: V2=(-Y21/∆y)I1+(Y11/∆y)I2. The relation between Z21 and Y parameters is Z21 = (-Y21)/∆y.
10. The relation between Z22 and Y parameters is?
A. Z22 = (-Y11)/∆y
B. Z22 = Y21/∆y
C. Z22 = (-Y21)/∆y
D. Z22 = Y11/∆y
Answer: D
Clarification: V2=(-Y21/∆y)I1+(Y11/∆y)I2. The relation between Z22 and Y parameters is Z22 = Y11/∆y.
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