Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Tests  >  Test: Reciprocity Theorem - Electrical Engineering (EE) MCQ

Test: Reciprocity Theorem - Electrical Engineering (EE) MCQ


Test Description

10 Questions MCQ Test - Test: Reciprocity Theorem

Test: Reciprocity Theorem for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Test: Reciprocity Theorem questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Reciprocity Theorem MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Reciprocity Theorem below.
Solutions of Test: Reciprocity Theorem questions in English are available as part of our course for Electrical Engineering (EE) & Test: Reciprocity Theorem solutions in Hindi for Electrical Engineering (EE) course. Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free. Attempt Test: Reciprocity Theorem | 10 questions in 30 minutes | Mock test for Electrical Engineering (EE) preparation | Free important questions MCQ to study for Electrical Engineering (EE) Exam | Download free PDF with solutions
Test: Reciprocity Theorem - Question 1

In any bilateral network, if a source of EMF 'E' in any branch produces a current 'I' in any other branch, then the same EMF acting in the second branch would produce the same current 'I' in the first branch. This statement is associated with

Detailed Solution for Test: Reciprocity Theorem - Question 1

Reciprocity Theorem:
Reciprocity theorem states that in any branch of a network, the current (I) due to a single source of voltage (V) elsewhere in the network is equal to the current through the branch in which the source was originally placed when the source is placed in the branch in which the current (I) was originally obtained.
The ratio of excitation to the response is constant.
E/R = K
Where,
E is excitation
R is response
K is constant
It is applicable for only single-source networks.

In-circuit (A), the value Ia is obtained for a voltage source V. According to the reciprocity theorem, this current is equivalent to Ib in a circuit (B).

Test: Reciprocity Theorem - Question 2

What is the current I corresponding to the terminal conditions as shown in the figure below.

Detailed Solution for Test: Reciprocity Theorem - Question 2

The current I1 due to 16 V source only

The current I2 due to 8 V source is, 

Total current:-
(4 + 0.66) = 4.66 A

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Reciprocity Theorem - Question 3

Reciprocity theorem is applicable to a network
1. Containing R, L and C elements
2. Which is initially not a relaxed system
3. Having both dependent and independent sources

Which of the above is/are correct?

Detailed Solution for Test: Reciprocity Theorem - Question 3

Reciprocity theorem: It states that the current I in any branch of a network, due to single voltage source (E) anywhere in the network is equal to the current of the branch in which source was placed originally and when the source is again put in the branch in which current is obtained originally.

Limitations of reciprocity theorem:

  • The network should be linear and time-invariant
  • It can apply only to the single-source network
Test: Reciprocity Theorem - Question 4

Reciprocity theorem cannot be applied to the circuits having ______.

Detailed Solution for Test: Reciprocity Theorem - Question 4

Reciprocity theorem states that in any branch of a network, the current (I) due to a single source of voltage (V) elsewhere in the network is equal to the current through the branch in which the source was originally placed when the source is placed in the branch in which the current (I) was originally obtained.

In the circuit (a), the value Ia is obtained for a voltage source V. According to reciprocity theorem, this current is equivalent to Ib in the circuit B.

Limitations of reciprocity theorem:

  • The network should be bilateral linear and time-invariant.
  • It can apply only to the single-source network and not for multi-source.
  • It is also applicable for passive networks consisting L,C.
  • Not applicable for circuits containing dependent sources even if it is linear.
Test: Reciprocity Theorem - Question 5

Consider the two-port resistive network shown in the figure. When an excitation of 5 V is applied across Port 1, and Port 2 is shorted, the current through the short circuit at Port 2 is measured to be 1 A (see (a) in the figure).

Now, if an excitation of 5 V is applied across Port 2, and Port 1 is shorted (see (b) in the figure), what is the current through the short circuit at Port 1?

Detailed Solution for Test: Reciprocity Theorem - Question 5

Reciprocity Theorem:
In any passive linear bilateral network, if a single voltage source ‘V’ in the branch AB produces the current response ‘I’ in the branch CD, then the removal of voltage source from the branch AB and its insertion in the branch CD will produce same current ‘I’ in the branch AB.

In the reciprocity theorem, if the position of excitation and responses are interchanged, then their ratio remains the same.

Application:

I2 = 1 A

Test: Reciprocity Theorem - Question 6

Which of the following step for solution of a network utilizing reciprocity theorem is truly stated?

Detailed Solution for Test: Reciprocity Theorem - Question 6

Reciprocity Theorem:

  • The reciprocity theorem states that the current at one point in a circuit due to a voltage at a second point is the same as the current at the second point due to the same voltage at the first.
  • The reciprocity theorem is valid for all passive networks.

Test: Reciprocity Theorem - Question 7

Which of the following theorem states that the current at one point in a circuit due to a voltage at a second point is the same as the current at the second point due to the same voltage at the first?

Detailed Solution for Test: Reciprocity Theorem - Question 7

Reciprocity theorem:
Reciprocity theorem states that in any branch of a network, the current (I) due to a single source of voltage (V) elsewhere in the network is equal to the current through the branch in which the source was originally placed when the source is placed in the branch in which the current (I) was originally obtained.

In the circuit (a), the value Ia is obtained for a voltage source V. According to reciprocity theorem, this current is equivalent to Ib in the circuit B.

Limitations of reciprocity theorem:

  • The network should be bilateral linear and time-invariant.
  • It can apply only to the single-source network and not for multi-source.
  • It is also applicable for passive networks consisting L,C.
  • Not applicable for circuits containing dependent sources even if it is linear.
Test: Reciprocity Theorem - Question 8

Which of the following is the direct method of network analysis?

Detailed Solution for Test: Reciprocity Theorem - Question 8

Reciprocity theorem:

Reciprocity theorem states that in any branch of a network, the current (I) due to a single source of voltage (V) elsewhere in the network is equal to the current through the branch in which the source was originally placed when the source is placed in the branch in which the current (I) was originally obtained.

The reciprocity theorem is the direct method of network analysis.

In circuit (a), the value Ia is obtained for a voltage source V. According to the reciprocity theorem, this current is equivalent to Ib in circuit B.
Limitations of reciprocity theorem:

  • The network should be bilateral linear and time-invariant.
  • It can apply only to the single-source network and not for multi-source.
  • It is also applicable for passive networks consisting L,C.
  • Not applicable for circuits containing dependent sources even if it is linear.
     

 

Test: Reciprocity Theorem - Question 9

If I1 in the given circuit is 6 A, what will be the current I2 in the following circuit?

Detailed Solution for Test: Reciprocity Theorem - Question 9

Reciprocity Theorem:
In any passive linear bilateral network, if a single voltage source ‘V’ in the branch AB produces the current response ‘I’ in the branch CD, then the removal of voltage source from the branch AB and its insertion in the branch CD will produce same current ‘I’ in the branch AB.

In reciprocity theorem, if the position of excitation and responses are interchanged, then their ratio remains the same.

Circuit 1: V1 = 144 V, I1 = 6 A
Circuit 2: V2 = 144 V, I2 = ?
According to reciprocity theorem,

Test: Reciprocity Theorem - Question 10

In a balanced Wheatstone bridge, if the position of detector and source are interchanged, the bridge will still remain balanced. This inference can be drawn from

Detailed Solution for Test: Reciprocity Theorem - Question 10

Reciprocity Theorem:

  • It states that In any branch of a network or circuit, the current due to a single source of voltage (V) in the network is equal to the current through that branch in which the source was originally placed when the source is again put in the branch in which the current was originally obtained.
  • This theorem is used in the bilateral linear network which consists of bilateral components.
  • In simple words, we can state the reciprocity theorem as when the places of voltage and current source in any network are interchanged the amount or magnitude of current and voltage flowing in the circuit remains the same.

The location of the voltage source and the current source may be interchanged without a change in current. However, the polarity of the voltage source should be identical to the direction of the branch current in each position.

In a balanced Wheatstone bridge, if the position of detector and source are interchanged, the bridge will still remain balanced. This inference is drawn from the Reciprocity theorem.

Information about Test: Reciprocity Theorem Page
In this test you can find the Exam questions for Test: Reciprocity Theorem solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Reciprocity Theorem, EduRev gives you an ample number of Online tests for practice

Top Courses for Electrical Engineering (EE)

Download as PDF

Top Courses for Electrical Engineering (EE)