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# Electro Magnetic Induction: Motional EMF in a satellite

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A natural satellite whose diameter is 10^4 meters moves at velocity of 1 km/s in the direction normal to the magnetic field of a planet in a region where B=10^-7 tesla. The satellite has appreciable conductivity.

A) The satellite moves in a perfect vacuum. What happens?

B) The ambient gas has a density of the order 10^10 particles per cubic meter, the particles being either electrons or singly charged ions. Each half of the satellite collects particles of the correct sign in sweeping thru space. Calculate the order of magnitude of the current.

C) Calculate the order of magnitude of the braking force.

##### Solution Summary

Induced EMF across a satellite, current and force is calculated as it passes through the gas of charged particles and the magnetic field.

##### Solution Preview

a natural satellite whose diameter is 10^4 meters moves at velocity of 1 km/s in the direction normal to the magnetic field of a planet in a region where B=10^-7 tesla. the satellite has appreciable conductivity.

A) the satellite moves in a perfect vacuum. what happens?

Let the satellite moves to the right and the field is coming out of the page. Like a conductor moves perpendicular to the field an EMF is induced in the satellite. If we consider the upright diameter (shown in the figure) the motional EMF induced across it will be given by

As the velocity of the satellite is perpendicular to the field and both are perpendicular to this diameter the magnitude of the induced EMF across this diameter will be

And the direction of this EMF is such that the top end of the ...

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