Two identical magnetic dipoles of magnetic moments `1.0 Am^(2)` each placed at separation of 2 m with their axes perpendicualr to each other field at a point midway between the dipoles is

Options

A. `5xx10^(-7) T`
B. `sqrt(5)xx10^(-7)T`
C. `10^(-7) T`
D. none of these

Answer

B

Explanation

With respect to `1^(st)` magnet p lies in end side on position
`therefore B_(1)=(mu_(0))/(4pi)(2M)/(d^(3))`

with respect to `2^(nd)` p lies in broad side on position
`therefore B_(2)=(mu_(0))/(4pi)`
`B_(1)=10^(-7)xx(2xx1)/(1)=2xx10^(-7)TB_(2)=(B_(1))/(2)=10^(-7)T`
As `B_(1)` and `B_(2)` are mutually perpendicular hence the resultant magnet field
`B_(R )=sqrt(B_(1)^(2)+B_(2)^(2))`
`sqrt((2xx10^(7))^(2)+(10^(-7))^(2)=sqrt(5)xx10^(-7)T`