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Magnetic needle (compass) point 3.5^(@) ...

Magnetic needle (compass) point `3.5^(@)` west of geographic north . Another needle free to rotate in vertical plane parallel to magnetic meridian has to its north tip pointing down at `18^(@)` with the horizontal . The magnitude of the horizontal component of the earth's magnetic field at the place is `0.40 `G . What is the magnitude of earth's magnetic field at that place ? (Given `cos 18^(@) = 0.95 , sin 18^(@) = 0.31`)

Text Solution

Verified by Experts

`B _(H) = B_(e) cos del`
` 0.40 = B_(e) cos 18^(@)`
`0.40 = B_(e) xx 0.95`
`B _(e) = (0.40)/( 0.95) G`
`B _(e) = 0.42 G`
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