First slide
The bar magnet
Question

Two short bar magnets of magnetic moments M each are arranged at the opposite corners of a square of side d such that their centres coincide with the corners and their axes are parallel. If the like poles are in the same direction, the magnetic induction at any of the other corners of the square is

Easy
Solution

Image 40
ABCD is a square of side d. Two bar magnets are arranged at the opposite corners B and D of the square. Consider the corner A of the square. The magnetic induction at a due to magnet M1
Ba=μ04π2Md3( along BA)
Similarly, the magnetic induction at A due to magnet M2
Be=μ04πMd3 along AB
Resultant B=BaBe=μ04π×Md3.

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