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Reciprocity Theorem Question & Answers

May 29, 2023 By Wat Electrical

This article lists 50 Reciprocity theorem MCQs for engineering students. All the Reciprocity theorem  Questions & Answers given below include a hint and a link wherever possible to the relevant topic. This is helpful for users who are preparing for their exams, interviews, or professionals who would like to brush up on the fundamentals of Reciprocity theorem.

The reciprocity theorem is a fundamental principle in physics and engineering that relates the behavior of a system to the interchangeability of sources and receivers. It states that the response at a point in a system due to a source is equal to the response at the same source due to a point.

In other words, if we have two systems, System A and System B, and we interchange the positions of the source and receiver between the two systems while keeping all other conditions the same, the response observed in System A will be the same as the response observed in System B.

The theorem is based on the principle of linearity and time-invariance of the system. It assumes that the system response is linear and remains unchanged over time. The reciprocity condition is satisfied when the sources are located at the same point in the two systems.

The reciprocity theorem is applicable to various areas, including electromagnetism, acoustics, and structural mechanics. It has significant practical implications and is often used in engineering analysis and design. For example, in antenna design and analysis, the reciprocity theorem allows us to determine the radiation patterns and characteristics of an antenna by measuring the response at a nearby location instead of directly measuring the radiation.

1). Which theorem states that the response at a point due to a source is equal to the response at the same source due to a point?

Hint
2). The reciprocity theorem is applicable to which of the following systems?

Hint
3). According to the reciprocity theorem, the reciprocity condition is satisfied when ____________________?

Hint
4). In the context of electromagnetic fields, the reciprocity theorem is based on _____________________?

Hint
5). The reciprocity theorem finds applications in which of the following areas?

Hint
6). Which theorem relates the electric field produced by a charge distribution to the potential generated by another charge distribution?

Hint
7). According to the reciprocity theorem, if a charge distribution A produces a potential V at point P due to a unit charge at point Q, what will be the potential at point P if the unit charge is placed at point P and observed at point Q?


Hint
8). The reciprocity theorem is applicable for which of the following scenarios?

Hint
9). In the context of the reciprocity theorem, which of the following statements is true?

Hint
10). The reciprocity theorem is based on the principle of ___________________?

Hint
11). The reciprocity theorem is applicable to ______________________?

Hint
12). The reciprocity theorem is based on the principle of ____________________?

Hint
13). The reciprocity theorem is often used to analyze ___________________?

Hint
14). The mathematical expression of the reciprocity theorem in electrical circuits is:

Hint
15). The reciprocity theorem is not valid for ____________________?

Hint

Reciprocity Theorem MCQ for Exams

16). The reciprocity theorem is applicable to which type of circuits?

Hint
17). The reciprocity theorem relates to the interchangeability of which two circuit parameters?

Hint
18). In the context of the reciprocity theorem, the ratio of currents or voltages is called ________________?

Hint
19). The reciprocity theorem holds true for which type of linear circuits?

Hint
20). Which of the following statements is true regarding the advantages of the reciprocity theorem?

Hint
21). In a circuit, a current of 2 A flowing from terminal A to terminal B results in a voltage of 4 V across terminals C and D. What will be the voltage across terminals A and B if a current of 3 A flows from C to D?

Hint
22). In a circuit, a voltage of 10 V applied across terminals X and Y results in a current of 2 A flowing from terminal Z to terminal W. What will be the current flowing from X to Y if a voltage of 5 V is applied across terminals Z and W?

Hint
23). In a circuit, a voltage of 6 V applied across terminals P and Q results in a current of 3 A flowing from terminal R to terminal S. If the voltage across terminals R and S is 9 V, what will be the current flowing from P to Q?

Hint
24). In a circuit, a current of 5 A flowing from terminal A to terminal B results in a power dissipation of 50 W. What will be the power dissipation if a current of 3 A flows from B to A?

Hint
25). Consider two circuits, Circuit A and Circuit B. If a current of 2A flows through Circuit A when a voltage of 4V is applied across its terminals, what will be the voltage across the terminals of Circuit B when a current of 3A flows through it?

Hint
26). A voltage of 10V applied across terminals A and B of Circuit A produces a current of 5A. If the same voltage source is now applied across terminals X and Y of Circuit B, what will be the current flowing through Circuit B?

Hint
27). Reciprocity in electromagnetic systems refers to ____________________?

Hint
28). Reciprocity in acoustic systems refers to __________________?

Hint
29). Reciprocity in circuit theory refers to __________________?

Hint
30). Reciprocity in optical systems refers to __________________?

Hint
31). Reciprocity in thermal systems refers to __________________?

Hint
32). One of the disadvantages of the reciprocity theorem is ?

Hint
33). The reciprocity theorem may not hold true in circuits with ____________________?

Hint
34). The reciprocity theorem does not consider the effects of ______________________?

Hint
35). The reciprocity theorem may not be applicable in circuits with _____________________?

Hint

Reciprocity Theorem MCQ for Interviews

36). One of the disadvantages of the reciprocity theorem is that it ___________________?

Hint
37). Which of the following statements best describes the Lorentz Reciprocity Theorem?

Hint
38). According to the Lorentz Reciprocity Theorem, which of the following conditions must be satisfied for two circuits to exhibit reciprocity?

Hint
39). In the context of electromagnetic waves, the Lorentz Reciprocity Theorem implies that _____________________?

Hint
40). Which of the following applications is NOT related to the Lorentz Reciprocity Theorem?

Hint
41). In the context of three-dimensional finite element analysis, the stiffness matrix for an element with linear shape functions and constant material properties has dimensions of _____________________?

Hint
42). The formulation of three-dimensional finite elements typically involves the discretization of the domain into ____________________?

Hint
43). In three-dimensional finite element analysis, the interpolation of the field variable within an element is typically performed using ________________________?

Hint
44). The three-dimensional stress-strain relationship for linear elastic materials is given by __________________?

Hint
45). In three-dimensional finite element analysis, the element stiffness matrix is obtained by ______________________?

Hint
46). In the context of two-dimensional plane-strain analysis, the strain components that are assumed to be zero are _________________?

Hint
47). The equilibrium equations for two-dimensional plane-strain analysis are expressed as _________________?

Hint
48). The constitutive relationship for linear elastic materials in two-dimensional plane-strain analysis is given by ________________?

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49). The strain-displacement relations in two-dimensional plane-strain analysis are expressed as _______________?

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50). The plane-strain assumption is suitable for analyzing ________________________?

Hint
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