Network Theory Questions and Answers – Tellegen’s theorem

This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Tellegen’s theorem”.

1. The dual pair of current is?
a) voltage
b) current source
c) capacitance
d) conductance
View Answer

Answer: a
Explanation: In an electrical circuit itself there are pairs of terms that can be interchanged to get new circuits. The dual pair of current is voltage. And the dual pair of voltage is current.

2. The dual pair of capacitance is?
a) capacitance
b) resistance
c) current source
d) inductance
View Answer

Answer: d
Explanation: The dual pair of inductance is capacitance. And the dual pair of capacitance is inductance. In an electrical circuit itself, there are pairs of terms which can be interchanged to get new circuits.

3. The dual pair of resistance is?
a) inductance
b) capacitance
c) conductance
d) current
View Answer

Answer: c
Explanation: The dual pair of resistance is conductance. And the dual pair of conductance is resistance.
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4. The dual pair of voltage source is?
a) voltage
b) current source
c) current
d) resistance
View Answer

Answer: b
Explanation: The dual pair of voltage source is current source. And the dual pair of current source is voltage source.

5. The dual pair of KCL is?
a) KVL
b) current
c) voltage
d) current source
View Answer

Answer: a
Explanation: In an electrical circuit itself there are pairs of terms which can be interchanged to get new circuits. The dual pair of KCL is KVL. And the dual pair of KVL is KCL.
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6. Tellegen’s Theorem is valid for _____ network.
a) linear or non-linear
b) passive or active
c) time variant or time invariant
d) all of the mentioned
View Answer

Answer: d
Explanation: Tellegen’s Theorem is valid for any lumped network. So, Tellegan’s theorem is valid for linear or non-linear networks, passive or active networks and time variant or time invariant networks.

7. For Tellegan’s Theorem to satisfy, the algebraic sum of the power delivered by the source is _____ than power absorbed by all elements.
a) greater
b) less
c) equal
d) greater than or equal
View Answer

Answer: c
Explanation: For Tellegan’s Theorem to satisfy, algebraic sum of the power delivered by the source equal to power absorbed by all elements. All branch currents and voltages in that network must satisfy Kirchhoff’s laws.
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8. Consider the circuit shown below. Find whether the circuit satisfies Tellegan’s theorem.
Find whether the circuit satisfies Tellegan’s theorem in circuit
a) satisfies
b) does not satisfy
c) satisfies partially
d) satisfies only for some elements
View Answer

Answer: a
Explanation: i1=i2=2A, i3=2A. V1=-2V, V2=-8V, V3=10V. Algebraic sum = The circuit satisfing Tellegan’s theorem

9. The circuit shown below satisfies Tellegen’s theorem.
The circuit shown below satisfies Tellegen’s theorem
a) True
b) False
View Answer

Answer: a
Explanation: i1=i2=4A, i3=4A. V1=-20V, V2=0V, V3=20V. Algebraic sum =i1=i2=4A, i3=4A. V1=-20V, V2=0V, V3=20V in given circuit
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10. If two networks have same graph with different type of elements between corresponding nodes, then?
a) \(\Sigma^{b}_{k=1}\)V1ki2k = 0, \(\Sigma^{b}_{k=1}\)V2ki1k = 0
b) \(\Sigma^{b}_{k=1}\)V1ki2k ≠ 0, \(\Sigma^{b}_{k=1}\)V2ki1k = 0
c) \(\Sigma^{b}_{k=1}\)V1ki2k = 0, \(\Sigma^{b}_{k=1}\)V2ki1k ≠ 0
d) \(\Sigma_{k=1}^{b}\)V1ki2k ≠ 0, \(\Sigma^{b}_{k=1}\)V2ki1k ≠ 0
View Answer

Answer: a
Explanation: If two networks have same graph with different type of elements between corresponding nodes, then \(\Sigma^{b}_{k=1}\)V1ki2k = 0, \(\Sigma^{b}_{k=1}\)V2ki1k = 0.

Sanfoundry Global Education & Learning Series – Network Theory.

To practice all areas of Network Theory, here is complete set of 1000+ Multiple Choice Questions and Answers.

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Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

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