How can Drift Velocity of an electron causes change?

Assume we have a conductor that has current flowing and its placed in a magnetic field so that it experiences the Lorentz force, and it gains Kinetic energy due to that force. Would drift velocity change the electron's direction thus the current's total direction changes, therefore, changing the Lorentz force direction applied on the conductor?

• Are you asking about the Hall effect? This does not change the Lorentz force, it is a consequence of the Lorentz force. – honeste_vivere Nov 2 '15 at 17:20

• The Lorentz force is $\vec{F} = q(\vec{E} + \vec{v}\times\vec{B})$ and comprises electric and magnetic forces. Constraints are an additional force. Constraints don't reduce the Lorentz force. The response of the charge carriers is to the the sum of all forces. – garyp Jun 6 '14 at 12:15