Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > Curl is defined as the angular velocity at ev...
Start Learning for Free
Curl is defined as the angular velocity at every point of the vector field. State True/False.
- a)True
- b)False
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Curl is defined as the angular velocity at every point of the vector f...
Answer: a
Explanation: Curl is defined as the circulation of a vector per unit area. It is the cross product of the del operator and any vector field. Circulation implies the angular at every point of the vector field. It is obtained by multiplying the component of the vector parallel to the specified closed path at each point along it, by the differential path length and summing the results.
Explanation: Curl is defined as the circulation of a vector per unit area. It is the cross product of the del operator and any vector field. Circulation implies the angular at every point of the vector field. It is obtained by multiplying the component of the vector parallel to the specified closed path at each point along it, by the differential path length and summing the results.
Most Upvoted Answer
Curl is defined as the angular velocity at every point of the vector f...
Explanation:
Curl of a Vector Field:
- The curl of a vector field is a measure of the rotation or angular velocity of the vector field at every point.
- It is a vector operator that gives a vector field as an output.
Definition of Curl:
- Mathematically, the curl of a vector field F, denoted by ∇ x F, is defined as the cross product of the del operator (∇) and the vector field F.
- The curl of a vector field F = (P, Q, R) is given by the formula:
∇ x F = (dR/dy - dQ/dz)i + (dP/dz - dR/dx)j + (dQ/dx - dP/dy)k
Angular Velocity:
- Angular velocity is a measure of how quickly an object rotates or revolves around a particular axis.
- It is a vector quantity, and its direction is along the axis of rotation.
Relation between Curl and Angular Velocity:
- The curl of a vector field can be thought of as representing the local angular velocity of the vector field.
- At each point in the vector field, the curl gives the axis of rotation and the magnitude of rotation.
Conclusion:
- Therefore, the statement that curl is defined as the angular velocity at every point of the vector field is True. It accurately describes the relationship between the curl of a vector field and the concept of angular velocity.
Curl of a Vector Field:
- The curl of a vector field is a measure of the rotation or angular velocity of the vector field at every point.
- It is a vector operator that gives a vector field as an output.
Definition of Curl:
- Mathematically, the curl of a vector field F, denoted by ∇ x F, is defined as the cross product of the del operator (∇) and the vector field F.
- The curl of a vector field F = (P, Q, R) is given by the formula:
∇ x F = (dR/dy - dQ/dz)i + (dP/dz - dR/dx)j + (dQ/dx - dP/dy)k
Angular Velocity:
- Angular velocity is a measure of how quickly an object rotates or revolves around a particular axis.
- It is a vector quantity, and its direction is along the axis of rotation.
Relation between Curl and Angular Velocity:
- The curl of a vector field can be thought of as representing the local angular velocity of the vector field.
- At each point in the vector field, the curl gives the axis of rotation and the magnitude of rotation.
Conclusion:
- Therefore, the statement that curl is defined as the angular velocity at every point of the vector field is True. It accurately describes the relationship between the curl of a vector field and the concept of angular velocity.
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
Curl is defined as the angular velocity at every point of the vector field. State True/False.a)Trueb)FalseCorrect answer is option 'A'. Can you explain this answer?
Question Description
Curl is defined as the angular velocity at every point of the vector field. State True/False.a)Trueb)FalseCorrect answer is option 'A'. 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 Curl is defined as the angular velocity at every point of the vector field. State True/False.a)Trueb)FalseCorrect answer is option 'A'. 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 Curl is defined as the angular velocity at every point of the vector field. State True/False.a)Trueb)FalseCorrect answer is option 'A'. Can you explain this answer?.
Curl is defined as the angular velocity at every point of the vector field. State True/False.a)Trueb)FalseCorrect answer is option 'A'. 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 Curl is defined as the angular velocity at every point of the vector field. State True/False.a)Trueb)FalseCorrect answer is option 'A'. 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 Curl is defined as the angular velocity at every point of the vector field. State True/False.a)Trueb)FalseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Curl is defined as the angular velocity at every point of the vector field. State True/False.a)Trueb)FalseCorrect answer is option 'A'. 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 Curl is defined as the angular velocity at every point of the vector field. State True/False.a)Trueb)FalseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Curl is defined as the angular velocity at every point of the vector field. State True/False.a)Trueb)FalseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Curl is defined as the angular velocity at every point of the vector field. State True/False.a)Trueb)FalseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Curl is defined as the angular velocity at every point of the vector field. State True/False.a)Trueb)FalseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Curl is defined as the angular velocity at every point of the vector field. State True/False.a)Trueb)FalseCorrect answer is option 'A'. 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!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup