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Two identical short bar magnets, each ha...

Two identical short bar magnets, each having magnetic moment `M`, are placed a distance of `2d` apart with axes perpendicular to each other in a horizontal plane. The magnetic induction at a point midway between them is

A

`(mu_(0))/(4pi)(sqrt2)(M)/(d^(3))`

B

`(mu_(0))/(4pi)(sqrt3)(M)/(d^(3))`

C

`((2mu_(0))/(4pi))(M)/(d^(3))`

D

`(mu_(0))/(4pi)(sqrt5)(M)/(d^(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
At point P net magnetic field `B_("net")=sqrt(B_(1)^(2)+B_(2)^(2))`

`where " " B_(1)=(mu_(0))/(4pi).(2M)/(d^(3))`
`and " " B_(2)=(mu_(0))/(4pi).(M)/(d^(3))Rightarrow =(mu_(0))/(4pi).(sqrt5M)/(d^(3))`
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