# Velocity of electrons and protons when current is induced through a loop of plasma

Is there an equation to find out the velocity of electrons and protons in a loop of plasma when a current is induced through it?Is the velocity just equal in magnitude and opposite in direction or is it opposite in direction and the velocity dependent on mass of the particles?(implying that an equal amount of force is exerted on the electrons and protons)

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sophiecentaur
Gold Member

Conservation of momentum would tell you that the relative magnitudes of velocities would be around 1:1800ma, where ma is the 'atomic' mass of the ions. (Big ions slow, small electrons fast)
Your suggestion would only apply to a Hydrogen plasma so you need to consider the total mass of the ions. I have assumed singly ionised particles, of course.

So if I had a plasma which is a mixture consisting of an equal amount of protium and deutrium would the ratio of the velocities of electron, protium and deutrium (respectively)be 3600:2:1 ?

sophiecentaur
Gold Member