Generally, electric fields can't penetrate plasmas, and this is known as debye shielding. But when I was thinking about the E cross B drift, this hit me.
The average motion of a particle along the perpendicular to the magnetic field is zero. By this I mean't to say particles do not drift perpendicular to the field lines. But for debye shielding to come into play, the particles must move in the perpendicular direction if the electric field is perpendicular to the magnetic field. So debye shielding doesn't work here.
An other way I thought about it is as follows: Assuming the magnetic field and electric fields (which are perpendicular to each other) are already present, a plasma is created. Now, the particles, don't follow the electric field lines but drift perpendicular to both the magnetic field and electric field (according to the E cross B drift.). Since the particles drift and do not follow the electric field lines, debye shielding does not happen
But I am pretty skeptical about this, Is this true?