Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > Identify the nature of the field, if the dive...
Start Learning for Free
Identify the nature of the field, if the divergence is zero and curl is also zero.
- a)Solenoidal, irrotational
- b)Divergent, rotational
- c)Solenoidal, irrotational
- d)Divergent, rotational
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Identify the nature of the field, if the divergence is zero and curl i...
Since the vector field does not diverge (moves in a straight path), the divergence is zero. Also, the path does not possess any curls, so the field is irrotational.
View all questions of this test
Hence option (C) is correct
To learn more about Divergence and Curl of a vector click on the link given below:
Most Upvoted Answer
Identify the nature of the field, if the divergence is zero and curl i...
Nature of Field with Zero Divergence and Zero Curl
The nature of the field can be determined by analyzing the divergence and curl of the field. If the divergence of the field is zero and the curl of the field is also zero, then the field can be classified as solenoidal and irrotational. Let's understand the terms solenoidal and irrotational in detail:
1. Solenoidal Field: A field is said to be solenoidal if it has zero divergence. This means that the net flow of the field across any closed surface is zero. In other words, the field is incompressible and has no sources or sinks. Examples of solenoidal fields include the magnetic field around a current-carrying wire and the velocity field of an incompressible fluid.
2. Irrotational Field: A field is said to be irrotational if it has zero curl. This means that the field has no vortices or rotational components. In other words, the field is conservative and can be expressed as the gradient of a scalar potential. Examples of irrotational fields include the electric field around a point charge and the gravitational field around a point mass.
Therefore, if a field has zero divergence and zero curl, it can be classified as both solenoidal and irrotational. This implies that the field is both incompressible and conservative, and can be represented as the gradient of a scalar potential. Such fields are commonly encountered in fluid mechanics, electromagnetism, and other areas of physics and engineering.
The nature of the field can be determined by analyzing the divergence and curl of the field. If the divergence of the field is zero and the curl of the field is also zero, then the field can be classified as solenoidal and irrotational. Let's understand the terms solenoidal and irrotational in detail:
1. Solenoidal Field: A field is said to be solenoidal if it has zero divergence. This means that the net flow of the field across any closed surface is zero. In other words, the field is incompressible and has no sources or sinks. Examples of solenoidal fields include the magnetic field around a current-carrying wire and the velocity field of an incompressible fluid.
2. Irrotational Field: A field is said to be irrotational if it has zero curl. This means that the field has no vortices or rotational components. In other words, the field is conservative and can be expressed as the gradient of a scalar potential. Examples of irrotational fields include the electric field around a point charge and the gravitational field around a point mass.
Therefore, if a field has zero divergence and zero curl, it can be classified as both solenoidal and irrotational. This implies that the field is both incompressible and conservative, and can be represented as the gradient of a scalar potential. Such fields are commonly encountered in fluid mechanics, electromagnetism, and other areas of physics and engineering.
Free Test
FREE
| Start Free Test |
Community Answer
Identify the nature of the field, if the divergence is zero and curl i...
C
Attention Electrical Engineering (EE) Students!
To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
Identify the nature of the field, if the divergence is zero and curl is also zero.a)Solenoidal, irrotationalb)Divergent, rotationalc)Solenoidal, irrotationald)Divergent, rotationalCorrect answer is option 'C'. Can you explain this answer?
Question Description
Identify the nature of the field, if the divergence is zero and curl is also zero.a)Solenoidal, irrotationalb)Divergent, rotationalc)Solenoidal, irrotationald)Divergent, rotationalCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Identify the nature of the field, if the divergence is zero and curl is also zero.a)Solenoidal, irrotationalb)Divergent, rotationalc)Solenoidal, irrotationald)Divergent, rotationalCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Identify the nature of the field, if the divergence is zero and curl is also zero.a)Solenoidal, irrotationalb)Divergent, rotationalc)Solenoidal, irrotationald)Divergent, rotationalCorrect answer is option 'C'. Can you explain this answer?.
Identify the nature of the field, if the divergence is zero and curl is also zero.a)Solenoidal, irrotationalb)Divergent, rotationalc)Solenoidal, irrotationald)Divergent, rotationalCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Identify the nature of the field, if the divergence is zero and curl is also zero.a)Solenoidal, irrotationalb)Divergent, rotationalc)Solenoidal, irrotationald)Divergent, rotationalCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Identify the nature of the field, if the divergence is zero and curl is also zero.a)Solenoidal, irrotationalb)Divergent, rotationalc)Solenoidal, irrotationald)Divergent, rotationalCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Identify the nature of the field, if the divergence is zero and curl is also zero.a)Solenoidal, irrotationalb)Divergent, rotationalc)Solenoidal, irrotationald)Divergent, rotationalCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of Identify the nature of the field, if the divergence is zero and curl is also zero.a)Solenoidal, irrotationalb)Divergent, rotationalc)Solenoidal, irrotationald)Divergent, rotationalCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Identify the nature of the field, if the divergence is zero and curl is also zero.a)Solenoidal, irrotationalb)Divergent, rotationalc)Solenoidal, irrotationald)Divergent, rotationalCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Identify the nature of the field, if the divergence is zero and curl is also zero.a)Solenoidal, irrotationalb)Divergent, rotationalc)Solenoidal, irrotationald)Divergent, rotationalCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Identify the nature of the field, if the divergence is zero and curl is also zero.a)Solenoidal, irrotationalb)Divergent, rotationalc)Solenoidal, irrotationald)Divergent, rotationalCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Identify the nature of the field, if the divergence is zero and curl is also zero.a)Solenoidal, irrotationalb)Divergent, rotationalc)Solenoidal, irrotationald)Divergent, rotationalCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup