Two identical magnetic dipoles of magnetic moment 2 `Am^(2)` are placed at a separation of 2 m with their axis perpendicular to each other in air. The resultant magnetic field at a midpoint between the dipoles is

Options

A. `4 sqrt(5) xx 10^(-5) T`
B. `2 sqrt(5) xx 10^(-5)T`
C. `4 sqrt(5) xx 10^(-7)T`
D. `2 sqrt(5) xx 10^(-7)T`

Answer

D

Explanation

`R = sqrt(P^(2) + Q^(2))`
`B = {[(2p)/(((d)/(2))^(3))]^(2) + [(p)/(((d)/(2))^(3))]^(2)}^(1//2) xx 10^(-7)`
`= sqrt((4^(2) + 4)) xx 10^(-7)`
`= sqrt(20) xx 10^(-7) = 2 sqrt(5) xx 10^(-7) T`