What is the magnitude of the equational and axtal fields due to a bar magnet of length 5.0cm at a distance of 50cm from its mid point? The mangetic moment of the bar magnet is 0.40 `A m^(3)`. The same as in Example 5.2.

Explanation

`(i) B= (mu_(0))/(4pi) (2M)/(r^(3)) = 10^(-7) xx (2 xx 0.4)/((0.5)^(3)) = 10^(-7) xx (8 xx 10^(-1))/(125 xx 10^(-3))`
`B = 10^(-8) xx 10^(-3) xx (8)/(125) = 0.064 xx 10^(-5) = 6.4 xx 10^(-7) T`
(ii) `B = (mu_(0))/(4pi) (M)/(r^(3)) = 10^(-7) xx (0.4)/((0.5)^(3)) = 3.2 xx 10^(-7) T`