Guest
My first hit for charge of sun...
http://physics.stackexchange.com/questions/73763/what-is-the-electric-charge-of-the-sun-and-its-corona
77 Coulombs.
That's around 1 kV on 80 mF, which given the high temperature of the corona is maybe reasonable except for being shorted out by the local plasma environment. However there's enough complicated magnetic stuff happening in that region that I could imagine charge separation effects going on. Elementary considerations make it seem unlikely that that field remains uncompensated out to infinity, though.
John's original question was whether the solar wind was electrically neutral, which it has to be, very very accurately.
Cheers
Phil Hobbs