The conditions in a cylindrical plasma under the influence of a transverse homogeneous magnetic field are treated by known methods. It is shown that the magnetic field deflects the column towards the wall with the result that the total loss of electrons and ions is increased. This causes an increase in electron temperature and in the axial field strength. Formulae relating the axial electric field, the magnetic field and the electron temperature are derived as well as equations describing the electron density distribution. Some measurements have been made in order to test the theory. The agreement is fair, taking account of the limits of experimental accuracy and of uncertainty in the constants used in the calculations.
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L. Beckman (1948) studied this question.
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