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Consider the following statements:
The magnetic field at the centre of a circular coil of a wire carrying current is inversely proportional to the radius of the coil.
  • Lifting power of a magnet is proportional to square of magnetic flux density.
  • A static electric field is conservative (irrotational).
  • If the divergence of a vector 'A' is zero, then vector 'A' can be expressed as Curl of a vector F.
    Which of the above statements are correct?
    • a)
      Only 1, 2 and 3
    • b)
      Only 3 and 4
    • c)
      Only 1, 2 and 4
    • d)
      1, 2, 3 and 4
    Correct answer is option 'D'. Can you explain this answer?
    Most Upvoted Answer
    Consider the following statements: The magnetic field at the centre ...
    1. The magnetic field at the centre at circular coil is given by
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    Community Answer
    Consider the following statements: The magnetic field at the centre ...
    Explanation of Statements
    Let's analyze each statement to determine their correctness:
    1. Magnetic Field at the Centre of a Circular Coil
    - The magnetic field (B) at the center of a circular coil is indeed inversely proportional to the radius (R) of the coil when the current (I) is constant. This is given by the formula B = (μ₀ * I) / (2 * R).
    - Thus, this statement is correct.

    2. Lifting Power of a Magnet
    - The lifting power of a magnet is proportional to the square of the magnetic flux density (B). The more concentrated the magnetic field, the greater the force that can be exerted, reflecting this relationship.
    - Therefore, this statement is also correct.

    3. Static Electric Field is Conservative
    - A static electric field is indeed conservative (irrotational), meaning that the work done in moving a charge within the field is path-independent. This is a fundamental property of electrostatics.
    - Thus, this statement is correct.

    4. Divergence of a Vector 'A'
    - If the divergence of a vector field A is zero (div A = 0), it implies that A can be expressed as the curl of another vector field F (A = curl F). This is a result of vector calculus, often linked to the Helmholtz decomposition theorem.
    - Therefore, this statement is correct.

    Conclusion
    - Since all four statements are correct, the correct answer is option D: 1, 2, 3, and 4.
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    Consider the following statements: The magnetic field at the centre of a circular coil of a wire carrying current is inversely proportional to the radius of the coil. Lifting power of a magnet is proportional to square of magnetic flux density. A static electric field is conservative (irrotational). If the divergence of a vector 'A' is zero, then vector 'A' can be expressed as Curl of a vector F. Which of the above statements are correct?a)Only 1, 2 and 3b)Only 3 and 4c)Only 1, 2 and 4d)1, 2, 3 and 4Correct answer is option 'D'. Can you explain this answer?
    Question Description
    Consider the following statements: The magnetic field at the centre of a circular coil of a wire carrying current is inversely proportional to the radius of the coil. Lifting power of a magnet is proportional to square of magnetic flux density. A static electric field is conservative (irrotational). If the divergence of a vector 'A' is zero, then vector 'A' can be expressed as Curl of a vector F. Which of the above statements are correct?a)Only 1, 2 and 3b)Only 3 and 4c)Only 1, 2 and 4d)1, 2, 3 and 4Correct answer is option 'D'. 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 Consider the following statements: The magnetic field at the centre of a circular coil of a wire carrying current is inversely proportional to the radius of the coil. Lifting power of a magnet is proportional to square of magnetic flux density. A static electric field is conservative (irrotational). If the divergence of a vector 'A' is zero, then vector 'A' can be expressed as Curl of a vector F. Which of the above statements are correct?a)Only 1, 2 and 3b)Only 3 and 4c)Only 1, 2 and 4d)1, 2, 3 and 4Correct answer is option 'D'. 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 Consider the following statements: The magnetic field at the centre of a circular coil of a wire carrying current is inversely proportional to the radius of the coil. Lifting power of a magnet is proportional to square of magnetic flux density. A static electric field is conservative (irrotational). If the divergence of a vector 'A' is zero, then vector 'A' can be expressed as Curl of a vector F. Which of the above statements are correct?a)Only 1, 2 and 3b)Only 3 and 4c)Only 1, 2 and 4d)1, 2, 3 and 4Correct answer is option 'D'. Can you explain this answer?.
    Solutions for Consider the following statements: The magnetic field at the centre of a circular coil of a wire carrying current is inversely proportional to the radius of the coil. Lifting power of a magnet is proportional to square of magnetic flux density. A static electric field is conservative (irrotational). If the divergence of a vector 'A' is zero, then vector 'A' can be expressed as Curl of a vector F. Which of the above statements are correct?a)Only 1, 2 and 3b)Only 3 and 4c)Only 1, 2 and 4d)1, 2, 3 and 4Correct answer is option 'D'. 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 Consider the following statements: The magnetic field at the centre of a circular coil of a wire carrying current is inversely proportional to the radius of the coil. Lifting power of a magnet is proportional to square of magnetic flux density. A static electric field is conservative (irrotational). If the divergence of a vector 'A' is zero, then vector 'A' can be expressed as Curl of a vector F. Which of the above statements are correct?a)Only 1, 2 and 3b)Only 3 and 4c)Only 1, 2 and 4d)1, 2, 3 and 4Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Consider the following statements: The magnetic field at the centre of a circular coil of a wire carrying current is inversely proportional to the radius of the coil. Lifting power of a magnet is proportional to square of magnetic flux density. A static electric field is conservative (irrotational). If the divergence of a vector 'A' is zero, then vector 'A' can be expressed as Curl of a vector F. Which of the above statements are correct?a)Only 1, 2 and 3b)Only 3 and 4c)Only 1, 2 and 4d)1, 2, 3 and 4Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Consider the following statements: The magnetic field at the centre of a circular coil of a wire carrying current is inversely proportional to the radius of the coil. Lifting power of a magnet is proportional to square of magnetic flux density. A static electric field is conservative (irrotational). If the divergence of a vector 'A' is zero, then vector 'A' can be expressed as Curl of a vector F. Which of the above statements are correct?a)Only 1, 2 and 3b)Only 3 and 4c)Only 1, 2 and 4d)1, 2, 3 and 4Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Consider the following statements: The magnetic field at the centre of a circular coil of a wire carrying current is inversely proportional to the radius of the coil. Lifting power of a magnet is proportional to square of magnetic flux density. A static electric field is conservative (irrotational). If the divergence of a vector 'A' is zero, then vector 'A' can be expressed as Curl of a vector F. Which of the above statements are correct?a)Only 1, 2 and 3b)Only 3 and 4c)Only 1, 2 and 4d)1, 2, 3 and 4Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Consider the following statements: The magnetic field at the centre of a circular coil of a wire carrying current is inversely proportional to the radius of the coil. Lifting power of a magnet is proportional to square of magnetic flux density. A static electric field is conservative (irrotational). If the divergence of a vector 'A' is zero, then vector 'A' can be expressed as Curl of a vector F. Which of the above statements are correct?a)Only 1, 2 and 3b)Only 3 and 4c)Only 1, 2 and 4d)1, 2, 3 and 4Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
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