Calculate the magnetic induction at P, for the arrangement shown in figure, when two similar short magnets of magnetic moment M are joined at the middle. So that they are mutually perpendicular -

Options

A. `(mu_(0)Msqrt3)/(4pi" "d^(3))`
B. `(mu_(0)2M)/(4pi" "d^(3))`
C. `(mu_(0)Msqrt5)/(4pid^(3))`
D. None of these

Answer

3

Explanation

B_("net")=sqrt(B_(1)^(2)+B_(2)^(2))`
`B_(1)=(mu_(0)M)/(2pid^(3))`
`B_(2)=(mu_(0)M)/(4pid^(3))`
`B_("net")rArr(mu_(0)M)/(pid^(3))[(1)/(4)+(1)/(6)]rArr(sqrt5mu_(0)M)/(pid^(3))`