This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Inverse Network”.

1. The impedances Z_{1} and Z_{2}are said to be inverse if?

a) Z_{1}Z_{2} = R_{0}

b) Z_{1} + Z_{2} = R_{0}

c) 1/Z_{1}+1/Z_{2}=R_{0}

d) Z_{1}Z_{2} = R_{0}^{2}

View Answer

Explanation: The impedances Z

_{1}and Z

_{2}are said to be inverse if the geometric mean of the two impedances is a real number.

2. An inverse network may be obtained by?

a) Converting each series branch into another series branch

b) Converting each series branch into another parallel branch

c) Converting each parallel branch into another series branch

d) None of the mentioned

View Answer

Explanation: An inverse network may be obtained by converting each parallel branch into another series branch and vice-versa and not by converting each series branch into another series branch and not by converting each series branch into another parallel branch.

3. An inverse network may be obtained by converting each resistance element R into a corresponding resistive element of value?

a) R_{0}^{2}/R

b) R/R_{0}^{2}

c) R_{0}/R

d) R/R_{0}

View Answer

Explanation: To obtain the inverse network we have to convert each resistance element R into a corresponding resistive element of value R

_{0}

^{2}/R.

4. An inverse network may be obtained by converting each inductance L into a capacitance of value?

a) L/R_{0}

b) L/R_{0}^{2}

c) R_{0}/L

d) R_{0}^{2}/L

View Answer

Explanation: An inverse network may be obtained by converting Each inductance L should be converted into a capacitance of value L/R

_{0}

^{2}to obtain the inverse network.

5. An inverse network may be obtained by converting each capacitance C into an inductance of value?

a) CR_{0}^{2}

b) CR_{0}

c) R_{0}^{2}/C

d) C/R_{0}^{2}

View Answer

Explanation: An inverse network is obtained by converting each capacitance C into an inductance of value CR

_{0}

^{2}where R

_{0}is resistance.

6. Consider the network shown below. Find the value of capacitance C_{1}^{‘} after converting the inductance L_{1} into a capacitance.

a) R_{0}^{2}/L_{1}

b) R_{0}/L_{1}

c) L_{1}/R_{0}^{2}

d) L_{1}/R_{0}

View Answer

Explanation: An inverse network may be obtained by converting Each inductance L should be converted into a capacitance of value L/R

_{0}

^{2}to obtain the inverse network. The value of capacitance C

_{1}

^{‘}after converting the inductance into a capacitance is L

_{1}/R

_{0}

^{2}. C

_{1}

^{’}= L

_{1}/R

_{0}

^{2}.

7. In the network showed in question 6, find the value of inductance L_{1}^{‘} after converting the capacitance into an inductance.

a) C_{1}/R_{0}^{2}

b) R_{0}^{2}/C_{1}

c) C_{1}R_{0}

d) C_{1}R_{0}^{2}

View Answer

Explanation: An inverse network is obtained by converting each capacitance C into an inductance of value CR

_{0}

^{2}where R

_{0}is resistance. The value of inductance L

_{1}

^{‘}after converting the capacitance into an inductance is L

_{1}

^{‘}= C

_{1}R

_{0}

^{2}.

8. From the network showed in question 6, find the value of resistance R_{1}^{‘} after converting the resistance R_{1}.

a) R_{1}/R_{0}

b) R_{0}/R_{1}

c) R_{1}/R_{0}^{2}

d) R_{0}^{2}/R_{1}

View Answer

Explanation: To obtain the inverse network we have to convert each resistance element R into a corresponding resistive element of value R

_{0}

^{2}/R. The value of resistance R

_{1}

^{‘}after converting R

_{1}is R

_{1}

^{‘}= R

_{0}

^{2}/R

_{1}.

9. The value of the capacitance C_{2}^{‘} after converting the inductor into the C_{2}^{‘} in the network showed in question 6.

a) L_{2}/R_{0}^{2}

b) L_{2}/R_{0}

c) R_{0}^{2}/L_{2}

d) R_{0}/L_{2}

View Answer

Explanation: An inverse network may be obtained by converting Each inductance L should be converted into a capacitance of value L/R

_{0}

^{2}to obtain the inverse network. The value of the capacitance C

_{2}

^{‘}after converting the inductor into the capacitance is

C

_{2}

^{‘}= L

_{2}/R

_{0}

^{2}.

10. The value of the inductor L_{2}^{‘} after converting the capacitor into the L_{2}^{‘} in the network showed in question 6.

a) R_{0}^{2}/C_{2}

b) C_{2}R_{0}^{2}

c) C_{2}R_{0}

d) R_{0}^{2}/C_{2}

View Answer

Explanation: An inverse network is obtained by converting each capacitance C into an inductance of value CR

_{0}

^{2}where R

_{0}is resistance. The value of the inductor L

_{2}

^{‘}after converting the capacitor into the inductance is L

_{2}

^{‘}= C

_{2}R

_{0}

^{2}.

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

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