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When a diamagnetic object is placed near one pole of a strong magnet, the object is repelled away from the pole by a magnetic

 

When a diamagnetic object is placed near one pole of a strong magnet, the object is repelled away from the pole by a magnetic force. If the magnet were held vertically and the magnetic force were strong enough, the force could levitat the object. In 1997, researchers were able to produce a magnet strong enough to levitate a small frog. They reasoned that, since water is a diamagnetic material (with susceptibility x = -8.8 10-6) and a frog is mostly water, a frog would be diamagnetic. They found that the magnetic force Fmagnet on the frog depended on the frog's distance y above the magnet by Fmagnet = mx B(y). dB (y) dy where m is the frog's mass, p is the density of water (p = 1000 kg/m), and o = 4 10-7 T-m/A is the permeability of free space. The magnetic field B(y) above the magnet was measured to be B(y) = Boela where Bo is the magnet's field strength and the parameter a = 0.00236 m. In the experiment, the frog levitated at a distance yo = 0.012 m above the magnet. Calculate the value of Bo. 12.845 Bo Incorrect T If Earth's magnetic field magnitude is typically around 45 T, how many times N stronger was the magnet's field? N = 0.285 x106 times stronger Incorrect

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