Two identcal magnetic dipole of magnetic moment `1.0 A-m^(2)` each, placed at a separation of 2 m with their axis perpendicular to each other. The resultant magnetic field at a point midway between the dipole is

Options

A. `5 xx 10^(-7)T`
B. `sqrt5 xx 10^(-7)T`
C. `10^(-7)T`
D. None of these

Answer

B

Explanation

`B_(1)= (mu_(0))/(4pi) ((2M)/(d^(3)))`
`B_(2)= (mu_(0))/(4pi) ((M)/(d^(3)))`
`B_(1)= 2 xx 10^(-7)T, B_(2)= 10^(-7)T`
`B_("net") = sqrt(B_(1)^(2)+ B_(2)^(2))= sqrt5 xx 10^(-7)T`