Escaping the magnetic field of a wire

From the surface of a cylindrical wire of radius R=1 cmR=1~\textrm{cm} carrying a current I=1 mAI= 1~\textrm{mA} an electron escapes with velocity v0=30 m/sv_{0}=30~\textrm{m/s} perpendicular to the surface of the wire. What will be the electron's maximum distance in meters from the axis of the wire?

Details and assumptions

μ04π=107 H/m\frac{\mu_{0}}{4\pi}= 10^{-7}~\textrm{H/m} e/me=1.76×1011 C/kg e/m_{e}=1.76 \times 10^{11}~\textrm{C/kg}

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