A particular space tether is a wire made from aluminum (resistivity 2.7e-8 omega•m, density 2700 kg/m3). Its mass is 10 kilogram and it moves perpendicularly through a uniform 20.0 mT magnetic field at a speed of 6.81e3 m/s.
(a) Obtain what power is produced by the tether's motion through the magnetic field? Hint: Use the definition of resistance in terms of resistivity and the definition of density.
(b) If the tether is 2 kilometer long with a uniform cross-section, obtain what is the area of the cross-section?
(c) Obtain what is the overall resistance of the 2 km long tether?