As the earth spins, lines of force facing the sun are 'compressed', and 'expanded' at the umbra.

 

http://www.biocrawler.com/w/images/1/19/Magnetosphere_simple.jpg

 

Does it mean they are constantly changing its position and shape as they pass from a compressed state at noon, to dusk, to midnight, to dawn ?

Do they cyclically deform and also rotate ?

 

Question number two... Electrical wiring in orbiting satellites are constantly crossing magnetic lines from the earth field. Does such generates 'stray' currents in their circuitry ?

It does compress due to the solar pressure. I remember doing a qualitative demonstration of this with one of our atomic fountain clocks using a magnetically-sensitive transition in the atoms (the normal clock transition is hundreds of thousands of times less sensitive to the effects). Sure enough, we got a nice diurnal fluctuation in the frequency.

Is that relevant?

http://www.spaceinfo.com.au/ionosphere20090112.html