Two identical magnetic dipoles of magnetic moments 1.0 `A-m^(2)` each, are placed at a separation of 2 m with their axes perpendicular to each other. The resultant magnetic field at a point midway between the dipoles is

Options

A. `5xx10^(-7)T`
B. `sqrt5xx10^(-7)T`
C. `10^(-7)T`
D. `2xx10^(-7)T`

Answer

B

Explanation

`B_(1)=(2mu_(0))/(4pi)(M)/(r^(3))`(As the dipole is short)
`=(10^(-7)xx1xx2)/(1)^(3)=2xx10^(-7)T`
`B_(2)=mu_(0)/(4pi)(M)/(r^(3))=10^(-7)T rArr B_(net)=sqrt5xx10^(-7)T`