Two small bar magnets are placed in a line at certain distance d apart...
Force between two magnetic poles can be considered as a long range for that is these forces obey the Inverse Square Law. it means that the force between two magnetic poles is inversely proportional to the square of the distance between the magnetic poles.
Two small bar magnets are placed in a line at certain distance d apart...
Introduction:
When two small bar magnets are placed in a line at a certain distance apart, they interact with each other through magnetic forces. The force between the magnets can be calculated using the inverse square law, which states that the force between two magnets is inversely proportional to the square of the distance between them.
Explanation:
The force between two magnets is given by the equation:
F = (μ₀ * m₁ * m₂) / (4π * r²)
Where:
F is the force between the magnets,
μ₀ is the permeability of free space,
m₁ and m₂ are the magnetic moments of the magnets,
and r is the distance between the magnets.
When the length of each magnet is negligible compared to the distance between them (d), the distance (r) between the magnets is effectively the same as the distance between their centers. In this case, we can write:
r = d
Inverse Proportionality:
To determine the inverse proportionality, we can rewrite the equation as:
F = (μ₀ * m₁ * m₂) / (4π * d²)
As we can see, the force (F) is inversely proportional to the square of the distance (d²) between the magnets. This means that if the distance (d) between the magnets is increased, the force between them will decrease, and vice versa.
Conclusion:
Therefore, the force between two small bar magnets placed in a line at a distance (d) apart is inversely proportional to the square of the distance (d²) between them. The correct answer is A) d^2.
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.