This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Synthesis of R-L Network by the Foster Method”.

1. Consider a function Z(s)=5(s+1)(s+4)/(s+3)(s+5) . Find the value of R_{1} after performing the first form of Foster method.

a) 1/3

b) 2/3

c) 3/3

d) 4/3

View Answer

Explanation: After splitting the given function into partial according to the properties of first form of Foster method, we get

Z(s)=4/3+(5/3)(s/(s+3))+2s/(s+5).

So, R

_{1}= 4/3Ω.

2. The value of R_{1} in the question 1 is?

a) 4/3

b) 5/3

c) 3/5

d) 3/4

View Answer

Explanation: On taking the partial fractions, we get P

_{1}as 5/3 and we know R

_{1}=R

_{1}. So the value of R

_{1}is 5/3Ω.

R

_{1}= 5/3Ω.

3. The value of L_{1} in the question 1 is?

a) 5/9

b) 9/5

c) 4/9

d) 9/4

View Answer

Explanation: We know R

_{1}=(3)(L

_{1}) and as R

_{1}is 5/3Ω. So the value of L

_{1}is 5/9 H.

L

_{1}= 5/9 H.

4. The value of R_{2} in the question 1 is?

a) 1

b) 2

c) 3

d) 4

View Answer

Explanation: We obtain P

_{2}as 2.

R

_{2}=P

_{2}.

So the value of R

_{2}is 2Ω.

R

_{2}= 2Ω.

5. The value of L_{2} in the question 1 is?

a) 4/5

b) 3/5

c) 2/5

d) 1/5

View Answer

Explanation: As R

_{2}=(5)(L

_{2})

So the value of L

_{2}is 2/5 H.

L

_{2}= 2/5 H.

6. Consider the admittance function, Y(s)=((2s^{2}+16s+30))/( s^{2}+6s+8). Determine the value of L_{1} after performing the second form of Foster method.

a) 1/3

b) 2/3

c) 3/3

d) 4/3

View Answer

Explanation: After splitting the given function into partial according to the properties of first form of Foster method, we get Y(s)=2+3/(s+2)+1/(s+4).

We know L

_{1}=1/P

_{1}and as P

_{1}= 3, the value of L

_{1}is 1/3H.

L

_{1}= 1/3H.

7. The value of R_{1} in the question 6 is?

a) 4/3

b) 3/3

c) 2/3

d) 1/3

View Answer

Explanation: R

_{1}= 2/P

_{1}and as P

_{1}is 3, the value of R

_{1}is 2/3Ω.

R

_{1}= 2/3Ω.

8. The value of R_{2} in the question 6 is?

a) 1

b) 2

c) 3

d) 4

View Answer

Explanation: On taking the partial fractions we get P

_{2}as 1. And we know R

_{2}= 4/P

_{2}. So the value of R

_{2}is 4Ω.

R

_{2}= 4Ω.

9. The value of L_{2} in the question 6 is?

a) 4

b) 1

c) 2

d) 3

View Answer

Explanation: We got P

_{2}= 1

And L

_{2}=1/P

_{2}

So the value of L

_{2}is 1H.

L

_{2}= 1H.

10. The value of R_{∞} in the question 6 is?

a) 3

b) 1

c) 2

d) 4

View Answer

Explanation: On performing partial fractions we get the value of R

_{∞}is 2Ω.

R

_{∞}= 2Ω.

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

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