This set of Network Theory Problems focuses on “Inner Relationships of Different Parameters”.

1. For the given information Z_{11} = 3, Z_{12} = 1, Z_{21} = 2, Z_{22} = 1. Find the value of Y_{11}.

a) 1

b) -1

c) 2

d) -2

View Answer

Explanation: Y

_{11}= Z

_{22}/∆z and ∆z=3-2=1 and Z

_{22}= 1. So on substituting we get Y

_{11}= 1/1=1.

2. From the information provided in question 1, find the value of Y_{12}.

a) -2

b) 2

c) -1

d) 1

View Answer

Explanation: Y

_{12}= -Z

_{12}/∆z and ∆z=3-2=1 and Z

_{12}= 1. So on substituting we get Y

_{12}=- 1/1=-1.

3. From the information provided in question 1, find the value of Y_{21}.

a) 2

b) -2

c) 1

d) -1

View Answer

Explanation: We have the relation Y

_{21}=- Z

_{21}/∆z. ∆z=3-2=1 and given Z

_{21}= 2. On substituting we get Y

_{21}=- 2/1=-2.

4. From the information provided in question 1, find the value of Y_{22}.

a) 1

b) 2

c) 3

d) 4

View Answer

Explanation: The relation between Y

_{22}and Z

_{11}is Y

_{22}= Z

_{11}/∆z and ∆z=3-2=1 and given Z

_{11}= 3. On substituting we get Y

_{22}= 3/1=3.

5. The value ∆y in the question 1 is?

a) 0

b) 1

c) 2

d) 3

View Answer

Explanation: ∆y is the determinant of y parameters. The value ∆y is (Y

_{11})(Y

_{22})-(Y

_{12})(Y

_{21}). On substituting the values we get ∆y = (1)(3)-(-2)(-1)=1.

6. The product of ∆y and ∆z in the question 1 is?

a) 3

b) 2

c) 1

d) 0

View Answer

Explanation: ∆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 Z_{11} and Y parameters is?

a) Z_{11} = Y_{22}/∆y

b) Z_{11} = -Y_{22}/∆y

c) Z_{11} = Y_{12}/∆y

d) Z_{11} = (-Y_{12})/∆y

View Answer

Explanation: V

_{1}=(Y

_{22}/∆y)I

_{1}-(Y

_{12}/∆y)I

_{2}. The relation between Z

_{11}and Y parameters is Z

_{11}= Y

_{22}/∆y.

8. The relation between Z_{12} and Y parameters is?

a) Z_{12} = Y_{12}/∆y

b) Z_{12} = (-Y_{12})/∆y

c) Z_{12} = (-Y_{22})/∆y

d) Z_{12} = Y_{22}/∆y

View Answer

Explanation: V

_{1}=(Y

_{22}/∆y)I

_{1}-(Y

_{12}/∆y)I

_{2}. The relation between Z

_{12}and Y parameters is Z

_{12}= (-Y

_{12})/∆y.

9. The relation between Z_{21} and Y parameters is?

a) Z_{21} = Y_{21}/∆y

b) Z_{21} = Y_{12}/∆y

c) Z_{21} = (-Y_{21})/∆y

d) Z_{21} = (-Y_{12})/∆y

View Answer

Explanation: V

_{2}=(-Y

_{21}/∆y)I

_{1}+(Y

_{11}/∆y)I

_{2}. The relation between Z

_{21}and Y parameters is Z

_{21}= (-Y

_{21})/∆y.

10. The relation between Z_{22} and Y parameters is?

a) Z_{22} = (-Y_{11})/∆y

b) Z_{22} = Y_{21}/∆y

c) Z_{22} = (-Y_{21})/∆y

d) Z_{22} = Y_{11}/∆y

View Answer

Explanation: V

_{2}=(-Y

_{21}/∆y)I

_{1}+(Y

_{11}/∆y)I

_{2}. The relation between Z

_{22}and Y parameters is Z

_{22}= Y

_{11}/∆y.

**Sanfoundry Global Education & Learning Series – Network Theory.**

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