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Magnetic field strength due to a short bar magnet on its axial line at a distance x is B. What is its value at the same distance on the equatorial line?
- a)B/2
- b)B
- c)2B
- d)4B
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Magnetic field strength due to a short bar magnet on its axial line at...
The magnetic field at any axial point is given by, B = 2μo/ 4πx3
Similarly, the field at any equatorial point is given by, B = μo/ 4πx3
Thus, the field at any equatorial point is half of what it is at an axial point.
Similarly, the field at any equatorial point is given by, B = μo/ 4πx3
Thus, the field at any equatorial point is half of what it is at an axial point.
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Magnetic field strength due to a short bar magnet on its axial line at...
Explanation:
The magnetic field strength due to a short bar magnet on its axial line at a distance x is given by the formula:
B = (μ0/4π) * (2M/x^3)
where μ0 is the permeability of free space, M is the magnetic moment of the bar magnet and x is the distance from the center of the magnet.
On the axial line, x is the distance from the center of the magnet to the point where the magnetic field strength is to be calculated. On the equatorial line, x is the distance from the center of the magnet to the point where the magnetic field strength is to be calculated, but it is perpendicular to the axis of the magnet.
Magnetic Field Strength on the Equatorial Line:
To calculate the magnetic field strength on the equatorial line, we can use the formula:
B = (μ0/4π) * (M/x^3)
where x is the distance from the center of the magnet to the point where the magnetic field strength is to be calculated, and M is the magnetic moment of the bar magnet.
Comparing the two formulas, we can see that the magnetic field strength on the equatorial line is half of the magnetic field strength on the axial line at the same distance. Therefore, the correct option is A, i.e., B/2.
Conclusion:
The magnetic field strength due to a short bar magnet on its axial line at a distance x is B. When the same distance is measured on the equatorial line, the magnetic field strength is half of the magnetic field strength on the axial line at the same distance.
The magnetic field strength due to a short bar magnet on its axial line at a distance x is given by the formula:
B = (μ0/4π) * (2M/x^3)
where μ0 is the permeability of free space, M is the magnetic moment of the bar magnet and x is the distance from the center of the magnet.
On the axial line, x is the distance from the center of the magnet to the point where the magnetic field strength is to be calculated. On the equatorial line, x is the distance from the center of the magnet to the point where the magnetic field strength is to be calculated, but it is perpendicular to the axis of the magnet.
Magnetic Field Strength on the Equatorial Line:
To calculate the magnetic field strength on the equatorial line, we can use the formula:
B = (μ0/4π) * (M/x^3)
where x is the distance from the center of the magnet to the point where the magnetic field strength is to be calculated, and M is the magnetic moment of the bar magnet.
Comparing the two formulas, we can see that the magnetic field strength on the equatorial line is half of the magnetic field strength on the axial line at the same distance. Therefore, the correct option is A, i.e., B/2.
Conclusion:
The magnetic field strength due to a short bar magnet on its axial line at a distance x is B. When the same distance is measured on the equatorial line, the magnetic field strength is half of the magnetic field strength on the axial line at the same distance.
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Magnetic field strength due to a short bar magnet on its axial line at a distance x is B. What is its value at the same distance on the equatorial line?a)B/2b)Bc)2Bd)4BCorrect answer is option 'A'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Magnetic field strength due to a short bar magnet on its axial line at a distance x is B. What is its value at the same distance on the equatorial line?a)B/2b)Bc)2Bd)4BCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Magnetic field strength due to a short bar magnet on its axial line at a distance x is B. What is its value at the same distance on the equatorial line?a)B/2b)Bc)2Bd)4BCorrect answer is option 'A'. Can you explain this answer?.
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