Calculating Voltage in Magnetopause: EMF & Magnetic Flux

[kd001]

Homework Statement

Use the law of electromagnetic induction to deduce what typical voltage would be imposed in the magnetopause by the interplanetary magnetic field, assuming a scale size of the magnetopause of 10Re?

Homework Equations

-Magnetic flux equation
-Faraday's law

The Attempt at a Solution

See attachment for solution.

I took the interplanetary magnetic field strength to be 10^-9T (is this right?) and assumed that the magnetopause rotates at the same rate as the Earth.

Did I get it right? I normally do this sort of calculation for conductors rotating in a magnetic field. In this case one magnetic field is imposing an emf on another magnetic field. Did I have to take into account the strength of the magnetopause?

Thanks a lot for any advice.

 

[kd001]

Nothing? I just want to know if my solution makes sense to anyone.

Thanks

EDIT: I just realized, I made a mistake in the area calculation. I should have calculated the surface area of a sphere. But apart from that is the method correct?

 

[peter54]

Hi
It looks right with the area change.
I have to do the exact same question for my lab project.