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At a certain location in Africa, compass...

At a certain location in Africa, compass points `12^@` west of geographic north, figure. The north tip of magnetic needle of a dip circle placed in the plane of magnetic meridian points `60^@` above the horizontal. The horizontal component of earth's field is measured to be `0.16 gauss`. Specify the direction and magnitude of the earth's field at the location.

Text Solution

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Here, declination, `theta=12^@` west, dip, `delta=60^@`,
`H=0.16gauss=0.16xx10^-4tesla`
`R=?`
As `H=Rcos delta`
`:. R=(H)/(cos delta)=(0*16xx10^-4)/(cos 60^@)`
`=(0.16xx10^-4)/(1//2)`
`=0.32xx10^-4T`
The earth's field lies in a vertical plane `12^@` west of geographic meridian at an angle of `60^@` above the horizontal.
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