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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?
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.
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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?
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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) 2025 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) 2025 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?.
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