Diamagnets have the property that they "dampen" the effects of an external magnetic field by creating an opposing magnet

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Diamagnets Have The Property That They Dampen The Effects Of An External Magnetic Field By Creating An Opposing Magnet 1 (51.07 KiB) Viewed 64 times

Diamagnets have the property that they "dampen" the effects of an external magnetic field by creating an opposing magnetic field. The diamagnet thus has an induced dipole moment that is anti- aligned, such that the induced north pole is closer to the north pole creating the external field. An application of this is that diamagnets can be levitatede. Now, the mathematics of generally describing a force by a non-uniform field on a dipole is a little beyond the scope of this course, but we can still work through an approximation based on energy. Essentially, whenever the theoretical loss of gravitational potential energy from "falling" no longer can "pay the cost of increasing the magnetic potential energy, the object no longer wants to fall. Suppose a diamagnetic object floats above the levitator where the magnitude of the magnetic field is 17 t, which is inducing a magnetic dipole moment of 2.7 p.A. m in the object. The magnetic field 1.4 mm below the object is stronger with a magnitude of 34 T. What is the approximate mass of the floating object? Give your answer in units of g (.e., x103 kg), and use g = 9.81 m/s2. You may assume the object's size is negligible. *Note: The induced dipole moment is proportional to the field that induces it.