In 1996, NASA performed an experiment called the Tethered Satellite experiment. In this experiment a 2.84 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 5.01 x 103 m/s, and the magnitude of the earth's magnetic field at the location of the wire was 5.16 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?

Respuesta :

Answer:

The motional emf generated between the ends of the wire is

7341 V

Explanation:

Given :

Length of satellite [tex]l = 2.84 \times 10^{4}[/tex] m

Magnetic field [tex]B = 5.16 \times 10^{-5}[/tex] T

Speed of shuttle [tex]v = 5.01 \times 10^{3} \frac{m}{s}[/tex]

The emf generated between the ends of the wire is given by,

Induced emf = [tex]Blv\sin \theta[/tex]

Where [tex]\sin 90 = 1[/tex]

emf = [tex]5.16 \times 10^{-5} \times 5.01 \times 10^{3} \times 2.84 \times 10^{4}[/tex]

emf ≅ [tex]7341[/tex] V

Therefore, the motional emf generated between the ends of the wire is

7341 V