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Oersted's Experiment

A magnetic ne...

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A magnetic needle free to rotate about the vertical direction (compass) points 3.5^° west of the geographic north. Another magnetic needle free to rotate in a vertical plane parallel to the magnetic meredian(dip needle) has its north tip pointing down at 18^° with the horizontal.The horizontal component of the earth's magnetic field at the place is 0.40 G. Find the magnitude and direction of the earths magnetic field \overrightarrow{B_{E }} at the place.(†an 18^°=0.3)

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