You can apply Newton's law to calculate the force of gravity on an electron which is say in a current carrying conductor flowing in the "up" direction. Simultaneously you can calucate the electric force on the electron due to the electric field in the wire. read more
Current flows in a closed loop. So any current moving “up” a wire (say to operate a motor on the roof) has a corresponding current moving back down towards the source. If there is a gravitational effect “slowing” the current moving up, there must be corresponding gravitational effect of speeding up the current moving down. read more
In some sense, gravity must effect electrons, because they have mass. But in reality, the effect of the gravitational force will be insignificant due to the much larger effect of their electrical forces. This is because the gravitational constant, 6.67300 × 10-11, is so small compared with Coulomb's constant, 8.987 x 10 9. read more