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Test: Tellegen's Theorem - Electrical Engineering (EE) MCQ


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9 Questions MCQ Test - Test: Tellegen's Theorem

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Test: Tellegen's Theorem - Question 1

According to Tellegen’s theorem, which one of the following is correct?

Detailed Solution for Test: Tellegen's Theorem - Question 1
  • According to Tellegen’s theorem, the summation of instantaneous powers for the n number of branches in an electrical network is zero.
  • Let n number of branches in an electrical network have I1, I2, I3, ….. In respective instantaneous currents through them.
  • These branches have instantaneous voltages across them are V1, V2, V3, ….. Vn respectively.
  • According to Tellegen’s theorem, 
  • ∑ power delivered = ∑ power absorbed
  • It is based on the conservation of energy.
  • It is applicable to both linear and non-linear circuits.
Test: Tellegen's Theorem - Question 2

The total power developed in the circuit, if V­o = 125 V is

Detailed Solution for Test: Tellegen's Theorem - Question 2

Concept:
According to Tellegen’s theorem, the summation of instantaneous powers for the n number of branches in an electrical network is zero.
Let n number of branches in an electrical network have I1, I2, I3, ….. In respective instantaneous currents through them.
These branches have instantaneous voltages across them are V1, V2, V3, ….. Vn respectively.
According to Tellegen’s theorem, 
It is based on the conservation of energy.
It is applicable to both linear and non-linear circuits.
Analysis:
By applying Tellegen's theorem we can see that the net power developed in the circuit of the question = 0 watt

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Test: Tellegen's Theorem - Question 3

Which among the following theorems can be applied to any active or passive network?

Detailed Solution for Test: Tellegen's Theorem - Question 3

Tellegen theorem can be applied to any network- linear or non-linear, active or passive, time-variant, or time-invariant.
Tellegen Theorem: According to Tellegen’s theorem, the summation of instantaneous powers for the n number of branches in an electrical network is zero.
Let n number of branches in an electrical network have I1, I2, I3, …. In respective instantaneous currents through them.
These branches have instantaneous voltages across them are V1, V2, V3, …. Vn respectively.
According to Tellegen’s theorem:

It is based on the conservation of energy and is applicable to both linear and non-linear circuits.
Important Notes:
Various Theorem and the circuits where they are applicable is shown below in the table:

Test: Tellegen's Theorem - Question 4

Which of the following theorem can be applied to any network-linear or non-linear, active or passive, time-variant or time-invariant?

Detailed Solution for Test: Tellegen's Theorem - Question 4

Tellegen’s Theorem:

Tellegen’s Theorem states that the summation of power delivered is zero for each branch of any electrical network at any instant of time.
Mathematically, for any linear, non-linear, passive, active, time-variant, or time-invariant network  this is defined as:

n = number of branches
vk = voltage across the kth element
ik = current in the kth branch
Important Notes:
Various Theorem and the circuits where they are applicable is shown below in the table:

Test: Tellegen's Theorem - Question 5

In the circuit shown below, the power supplied by the voltage source is?

Detailed Solution for Test: Tellegen's Theorem - Question 5

The circuit can be redrawn as:

Applying KCL at node VA, we get:

VA = 4
Now, 
With I2 + 3 = I1
I2 + 3 = 3
I2 = 0 A
∴ Power delivered by the source = 10 x I2 = 0W

Test: Tellegen's Theorem - Question 6

Which one of the following theorems is a manifestation of the Law of Conservation of Energy?

Detailed Solution for Test: Tellegen's Theorem - Question 6

Different theorems used in the electrical network:

1.Tellegen's Theorem
It states that the power consumed by all the passive elements is always equal to the power delivered by all active elements.
Hence, this theorem is a manifestation of the Law of Conservation of Energy.

2. Reciprocity Theorem:
It states that if the source and response of an electrical network are interchanged, then the parameters of the circuit remain the same.

3. Thevenin's Theorem:
It states that any linear circuit containing several sources and resistances can be replaced by just one single voltagesource in series with a single resistance connected across the load.

4. Norton's Theorem:
It states that any linear circuit containing several sources and resistances can be replaced by just one single current source in paralledwith a single resistance connected across the load.

Test: Tellegen's Theorem - Question 7

Tellegen’s theorem is based on the principle of law of __________.

Detailed Solution for Test: Tellegen's Theorem - Question 7

Tellegen’s Theorem:

According to Tellegen’s theorem, the summation of instantaneous powers for the n number of branches in an electrical network is zero.
Let n number of branches in an electrical network have I1, I2, I3, ….. In respective instantaneous currents through them.
These branches have instantaneous voltages across them are V1, V2, V3, ….. Vn respectively.
According to Tellegen’s theorem,

It is based on the conservation of energy.

Important Points
Various Theorem and the circuits where they are applicable is shown below in the table:

Test: Tellegen's Theorem - Question 8

The theorem which states that in any linear, non-linear, passive, active, time-variant and time-invariant network, the summation of instantaneous powers is zero will be called as

Detailed Solution for Test: Tellegen's Theorem - Question 8

Tellegen theorem can be applied to any network- linear or non-linear, active or passive, time-variant, or time-invariant.
Tellegen Theorem: According to Tellegen’s theorem, the summation of instantaneous powers for the n number of branches in an electrical network is zero.
Let n number of branches in an electrical network have I1, I2, I3, …. In respective instantaneous currents through them.
These branches have instantaneous voltages across them are V1, V2, V3, …. Vn respectively.

According to Tellegen’s theorem:

It is based on the conservation of energy and is applicable to both linear and non-linear circuits.

Important Points

Test: Tellegen's Theorem - Question 9

Mathematical representation of Tellegen's theorem

Detailed Solution for Test: Tellegen's Theorem - Question 9

Tellegen’s Theorem:
Tellegen’s Theorem states that the summation of power delivered is zero for each branch of any electrical network at any instant of time.
Mathematically, for any linear, non-linear, passive, active, time-variant, or time-invariant network  this is defined as:

n = number of branches
vk = voltage across the kth element
ik = current in the kth branch
KCL (Kirchoff Current Law): 
According to Kirchhoff’s current law (KCL), the algebraic sum of the electric currents meeting at a common point is zero.
Mathematically we can express this as:

Where in represents the nth current
M is the total number of currents meeting at a common node.
KCL is based on the law of conservation of charge.
KVL(Kirchhoff’s Voltage Law):
It states that the sum of the voltages or electrical potential differences in a closed network is zero. 
Mathematically we can express this as:

Where Vn represents the nth Voltage
M is the total number of voltage element.
KVL is based on the law of conservation of energy.

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