This set of Network Theory Assessment Questions and Answers focuses on “Synthesis of R-C Network by Foster Method”.

1. Consider the impedance function Z(s)=3(s+2)(s+4)/(s+1)(s+3) . Find the value of R_{1} after realizing by first Foster method.

a) 9/2

b) 2/9

c) 9

d) 1/9

View Answer

Explanation: The first Foster form can be realized by taking the partial fraction of Z (s).

On solving, we get

Z (s)=3+(9/2/(s+1))+(3/2/(s+3)).

So the value of R

_{1}is 9/2Ω.

2. Find the value of C_{1} in question 1.

a) 1/9

b) 9

c) 2/9

d) 9/2

View Answer

Explanation: After taking the partial fractions, as P

_{1}= 1/C

_{1}, we get the 1/C

_{1}value as 9/2. So the value of C

_{1}is 2/9 F.

C

_{1}= 2/9 F.

3. Find the value of C_{2} in question 1.

a) 1/3

b) 3

c) 3/2

d) 2/3

View Answer

Explanation: We know P

_{2}= 1/C

_{2}. The value of P

_{2}is 3/2. So the value of C

_{2}is 2/3 F.

C

_{2}= 2/3 F.

4. Find the value of R_{2} in question 1.

a) 1

b) 1/2

c) 1/4

d) 1/8

View Answer

Explanation: We got 1/R

_{2}C

_{2}= 3. And the value of C

_{2}is 2/3 F. So the value of R

_{2}is ½Ω.

R

_{2}= ½Ω.

5. Find the value of R_{∞} in question 1.

a) 1

b) 2

c) 3

d) 4

View Answer

Explanation: On taking partial fraction of Z(s), we get the value of R

_{∞}is 3Ω.

R

_{∞}= 3Ω.

6. Consider the impedance function Y(s)=(s^{2}+4s+3)/(3s^{2}+18s+24). Find the value of R_{0} after realizing by second Foster method.

a) 4

b) 8

c) 12

d) 16

View Answer

Explanation: The second Foster Form can be realized by taking the reciprocal of the impedance function and by taking partial fractions. So we get 1/R

_{0}as 1/8. So the value of R

_{0}is 8Ω.

R

_{0}= 8Ω.

7. Find the value of R_{1} in question 6.

a) 16

b) 12

c) 8

d) 4

View Answer

Explanation: On taking the partial fractions we get P

_{1}as 1/12. And we know that R

_{1}=1/P

_{1}. So the value of R

_{1}is 12Ω.

R

_{1}= 12Ω.

8. Find the value of C_{1} in question 6.

a) 1/24

b) 1/12

c) 1/6

d) 1/3

View Answer

Explanation: The value of C

_{1}is 1/((2)(R

_{1})). As R

_{1}is 12Ω, the value of C

_{1}is 1/24 F.

C

_{1}= 1/24 F.

9. Find the value of R_{2} in question 6.

a) 5

b) 6

c) 7

d) 8

View Answer

Explanation: We get the value of P

_{2}on taking the partial fractions as 1/8. And we know R

_{2}= 1/P

_{2}So the value of R

_{2}is 8Ω.

So, R

_{2}= 8Ω.

10. Determine the value of C_{2} in question 6.

a) 1/16

b) 1/8

c) 1/32

d) 1/64

View Answer

Explanation: We obtained R

_{2}as 8Ω and we know C

_{2}= 1/((4)(R

_{2})). So the value of C

_{2}is 1/32 F.

C

_{2}= 1/32 F.

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

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