A magnetic dipole is under the influence fof two magnetic fields .The influence of two magnetic fields . The angle between the field directions us `60^(@)` and one of the fields has a magnitude of `1.2xx10^(-2)T` . If the the dipole comes to stable equilibrium at an angle of `15^(@)` with this field , what is the magnitude of the other field ?

Explanation

Let the other be `B_(2)` .
The dipole makes an angle `(60^(@)-15^(@))=45^(@)" with " B_(2)`
`therefore" "p_(m)B_(1)sintheta_(1)=p_(m)B_(2)sintheta_(2)`
`[p_(m)` = dipole moment , tarque = `vec(p_(m))xxvec(B)]`
`thereforeB_(2)=B_(1)(sintheta_(1))/(sintheta_(2))=1.2xx10^(-2)xx(sin15^(@))/(sin45^(@))`
` = 4.39xx10^(-3)T`