# 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

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

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

Explanation: The dual pair of resistance is conductance. And the dual pair of conductance is resistance.

4. The dual pair of voltage source is?
a) voltage
b) current source
c) current
d) resistance

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

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

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

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.

8. Consider the circuit shown below. Find whether the circuit satisfies Tellegan’s theorem.

a) satisfies
b) does not satisfy
c) satisfies partially
d) satisfies only for some elements

Explanation: i1=i2=2A, i3=2A. V1=-2V, V2=-8V, V3=10V. Algebraic sum =

9. The circuit shown below satisfies Tellegen’s theorem.

a) True
b) False

Explanation: i1=i2=4A, i3=4A. V1=-20V, V2=0V, V3=20V. Algebraic sum =

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

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.

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