Magnetic field around the long straight wire carrying current is a well-known result, which can be obtained using Bio-Sawart law or Ampere's law: . The field is circular, and centered around the wire.
Magnetic field acts on the charged particle with Lorentz force: . Since, in our case the magnetic field is circular in the plane, perpendicular to the wire, and electron is moving along the wire, is perpendicular to , so the absolute value of the cross product in the Lorentz force is just . Therefore, . Substituting given values for and permeability , obtain: .
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