Class 12 Exam > Class 12 Questions > A bar magnet is of length (size) l.The ratio ...
Start Learning for Free
A bar magnet is of length (size) l.The ratio of its equatorial field and axial field for the same distance r(where r>>l) is. A)1 B)0.5 C)2 D)0?
Most Upvoted Answer
A bar magnet is of length (size) l.The ratio of its equatorial field a...
Solution:
Equatorial field: The magnetic field produced by a bar magnet at any point on the equatorial line is known as equatorial field.
Axial field: The magnetic field produced by a bar magnet at any point on the axial line is known as axial field.
The ratio of equatorial and axial field for a bar magnet is given as:
B(eq)/B(ax) = 2
Explanation:
Consider a bar magnet of length l placed on the x-axis at the origin O. Let P be a point on the equatorial line at a distance r from the center of the magnet. Let Q be a point on the axial line at the same distance r from the center of the magnet.
From the figure, we can see that the magnetic field at point P due to the north pole is equal and opposite to the magnetic field at point P due to the south pole. Hence, the net magnetic field at point P is zero.
On the other hand, the magnetic field at point Q due to the north pole and south pole are in the same direction. Hence, the net magnetic field at point Q is given as:
B(ax) = (μ0/4π)×(2M/l^3)×r
where μ0 is the permeability of free space, M is the magnetic moment of the bar magnet and l is the length of the magnet.
The equatorial field is zero and axial field is given as:
B(eq) = (μ0/4π)×(M/l^3)×r
Therefore, the ratio of equatorial and axial field is given as:
B(eq)/B(ax) = (μ0/4π)×(M/l^3)×r / [(μ0/4π)×(2M/l^3)×r]
B(eq)/B(ax) = 1/2
Hence, the correct option is (B) 0.5.
Equatorial field: The magnetic field produced by a bar magnet at any point on the equatorial line is known as equatorial field.
Axial field: The magnetic field produced by a bar magnet at any point on the axial line is known as axial field.
The ratio of equatorial and axial field for a bar magnet is given as:
B(eq)/B(ax) = 2
Explanation:
Consider a bar magnet of length l placed on the x-axis at the origin O. Let P be a point on the equatorial line at a distance r from the center of the magnet. Let Q be a point on the axial line at the same distance r from the center of the magnet.
From the figure, we can see that the magnetic field at point P due to the north pole is equal and opposite to the magnetic field at point P due to the south pole. Hence, the net magnetic field at point P is zero.
On the other hand, the magnetic field at point Q due to the north pole and south pole are in the same direction. Hence, the net magnetic field at point Q is given as:
B(ax) = (μ0/4π)×(2M/l^3)×r
where μ0 is the permeability of free space, M is the magnetic moment of the bar magnet and l is the length of the magnet.
The equatorial field is zero and axial field is given as:
B(eq) = (μ0/4π)×(M/l^3)×r
Therefore, the ratio of equatorial and axial field is given as:
B(eq)/B(ax) = (μ0/4π)×(M/l^3)×r / [(μ0/4π)×(2M/l^3)×r]
B(eq)/B(ax) = 1/2
Hence, the correct option is (B) 0.5.
Community Answer
A bar magnet is of length (size) l.The ratio of its equatorial field a...
0.5
|
Explore Courses for Class 12 exam
|
|
Similar Class 12 Doubts
A bar magnet is of length (size) l.The ratio of its equatorial field and axial field for the same distance r(where r>>l) is. A)1 B)0.5 C)2 D)0?
Question Description
A bar magnet is of length (size) l.The ratio of its equatorial field and axial field for the same distance r(where r>>l) is. A)1 B)0.5 C)2 D)0? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A bar magnet is of length (size) l.The ratio of its equatorial field and axial field for the same distance r(where r>>l) is. A)1 B)0.5 C)2 D)0? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bar magnet is of length (size) l.The ratio of its equatorial field and axial field for the same distance r(where r>>l) is. A)1 B)0.5 C)2 D)0?.
A bar magnet is of length (size) l.The ratio of its equatorial field and axial field for the same distance r(where r>>l) is. A)1 B)0.5 C)2 D)0? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A bar magnet is of length (size) l.The ratio of its equatorial field and axial field for the same distance r(where r>>l) is. A)1 B)0.5 C)2 D)0? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bar magnet is of length (size) l.The ratio of its equatorial field and axial field for the same distance r(where r>>l) is. A)1 B)0.5 C)2 D)0?.
Solutions for A bar magnet is of length (size) l.The ratio of its equatorial field and axial field for the same distance r(where r>>l) is. A)1 B)0.5 C)2 D)0? in English & in Hindi are available as part of our courses for Class 12.
Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of A bar magnet is of length (size) l.The ratio of its equatorial field and axial field for the same distance r(where r>>l) is. A)1 B)0.5 C)2 D)0? defined & explained in the simplest way possible. Besides giving the explanation of
A bar magnet is of length (size) l.The ratio of its equatorial field and axial field for the same distance r(where r>>l) is. A)1 B)0.5 C)2 D)0?, a detailed solution for A bar magnet is of length (size) l.The ratio of its equatorial field and axial field for the same distance r(where r>>l) is. A)1 B)0.5 C)2 D)0? has been provided alongside types of A bar magnet is of length (size) l.The ratio of its equatorial field and axial field for the same distance r(where r>>l) is. A)1 B)0.5 C)2 D)0? theory, EduRev gives you an
ample number of questions to practice A bar magnet is of length (size) l.The ratio of its equatorial field and axial field for the same distance r(where r>>l) is. A)1 B)0.5 C)2 D)0? tests, examples and also practice Class 12 tests.
|
|
Explore Courses for Class 12 exam
|
|
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