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The earth magnetic field at the equator ...

The earth magnetic field at the equator is approximately 04.G. Estimate the earth's dipole moment.

Text Solution

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The magnitude of equatorial magnetic field,
`B(y) = (mu_(0) m)/( 4piy^(3) )`, here `B(y) = 0.4 G = 0.4 xx 10^(-4) T`
`y=6.4 xx 10^(6)`m
`0.4 xx 10^(-4) = (10^(-7) xx m)/( (6.4 xx 10^(6) )^(3) )`
`therefore m= ((0.4 xx 10^(-4) xx (6.4) xx 10^(6) )^(3) )/( 10^(-7) )`
`therefore m= (0.4 xx 10^(-4) xx (6.4 xx 10^(6) )^(3) )/( 10^(-7) )`
`therefore m= 1048.5 xx 10^(20) "Am"^(2)`
`therefore m~~ 1.05 xx 10^(23) "Am"^(2)`
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