Question

In 1996, NASA performed an experiment called the Tethered Satellite experiment. In this experiment a 3.42 x 104-m length of wire was let out by the space shuttle Atlantis to generate a motional emf. The shuttle had an orbital speed of 6.80 x 103 m/s, and the magnitude of the earth's magnetic field at the location of the wire was 6.56 x 10-5 T. If the wire had moved perpendicular to the earth's magnetic field, what would have been the motional emf generated between the ends of the wire

Answer 1

15116.4 V

Step-by-step explanation:

B = Earth's magnetic field at the location =
`6.5* 10^(-5)\ T`

L = Length of the wire =
`3.42* 10^4\ m`

v = Velocity of the shuttle =
`6.8* 10^8\ m/s`

The emf generated is given by

`E=BLv\\\Rightarrow E=6.5* 10^(-5)* 3.42* 10^(4)* 6.8* 10^3\\\Rightarrow E=15116.4\ V`

The motional emf generated between the ends of the wire is 15116.4 V