3. [25 points] Consider a plasma flow which is subjected to the constant perpendicular electric and magnetic fields as shown in the figure below. Consider that all heavy particles (ions, neutrals) move with same velocity u along the x-axis. Write down the equation of motion for the elections, find the steady state solution, and derive Ohm's law for the total current for this case (present separate expressions for X- and y-components of electric current jx and jy). Ey