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A magnetic needle free to rotate about t...

A magnetic needle free to rotate about the vertical direction (compass ) point `3.5` west of the geographic north . Another magnetic needle free to rotate in a vertical plane parallel to the magnetic meridian has its north tip pointing down at `18^(@)` with the horizontal . The magnitude of the horizontal component of the earth ' magnetic field at the place is known to be `0.40 G` . what is the direction and magnitude of the earth's magnetic field at the place ?

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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