Your senior design team has designed a \"Back to the Future\" hover board that c

Question

Your senior design team has designed a "Back to the Future" hover board that can float on the Earth's magnetic field. The hover board with passenger is 80 kg, the radius of the current loop is .2 meter, and the magnetic field of the Earth is about 0.3 Gauss. The saucer will "ride" on the Earth's magnetic field by causing a current to flow in a ring around the exterior of the craft. The current can be adjusted so that it is always perpendicular to the Earth's field ( therefore I vector dl * vector B = I |dl||B|). Assume the Earth's magnetic field at this location is uniform.) Calculate the current required. You take your design to the patent office. Will your request for a patent be accepted or denied Why (The answer does not depend on the magnitude of the current required, heat generated, required power mass of batteries, etc.)

Explanation / Answer

F = I *dL * B

dL = 2*pi*r = 1.2566 m

F = I * 1.2566 * 0.00003 T = m*g

I = 80*9.8 / 1.2566 * 0.00003 = 20817466.56 A

if we don't consider current magntude then we have to build it very big in size ... to provide this magnitude of current we need superconducter which is not possible in present

second what about rotation of earth & Earths magnetic field fluctuates from location to location..will make it impossible to file a patent

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