An electrodynamic tether is used As a power generator by an earth orbiting satel

Question

An electrodynamic tether is used As a power generator by an earth orbiting satellite. The orbit of the tether system is near a circular orbit with an altitude in between 300 and 500 km. the tether has a length of 10 km and electric resistance R_tether = 100 ohm. The total mass of the tether system is 500 kg. assumethe total voltage drop at the tethers two ends is due to an imprudence of 60 ohm and current closure path in space plasma has an impedance of 8 ohm. The tether is used to supply power to a load with resistance of R_load=830 ohm. During the operation the orbit altitude is lowered from 500 km to 300 km.

Calculate electric current in the tether, efficiency to produce electric power for load, average drag on tether and time for the orbit altitude to decrease from 500 km to 300 km.

Take orbit velocity to be that for the 400 km and magnetic field to be B=2.6*10^-5 T

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