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In a bearing having rotary sensor used in a motor, it is possible to prevent erroneous operation of the sensor caused by the affect of magnetic field leak. Rare earths are used as a magnetic material of a magnetic encoder (13) as a member of the bearing having rotary sensor. A fluorine-based rubber is used as their binder so as to generate stronger magnetic force than the conventional ferrite-based material, thereby excluding the affect of the magnetic field leak and improving the shock resistance.