Tow identical short bar magnets each having magnetic moment m are placed a distance of 2d apart with axes perpendicualr to each other a horizontal plane the magnetic inlduciton at point midway between them is

Options

A. `(mu_(0))/(4pi)sqrt(2)(M)/(d^(3))`
B. `(mu_(0))/(4pi)sqrt(3)(m)/(d^(3))`
C. `(2mu_(0))/(pi)(m)/(d^(3))`
D. `(mu_(0))/(4pi)sqrt(5)(m)/(d^(3))`

Answer

D

Explanation

At point P net magnetic field `B_("net")=sqrt(B_(1)^(2)+B_(2)^(2))`
`rarr B_(net)=(mu_(0))/(4pi).(sqrt(5)M)/(d^(3))`