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PRACTICE / Charged-particle circular motion

The far edge may never be reached

A particle of mass 2.0×10⁻²⁶ kg and charge +1.0×10⁻¹⁹ C enters at x=0 along +x with speed 1.0×10⁵ m/s. A uniform field B=+0.20 T along z exists only in the strip 0<x<0.12 m, with unlimited extent in y.

When does the particle first leave the strip?

Organize the givens & assumptions
  • m=2.0×10⁻²⁶ kg
  • q=+1.0×10⁻¹⁹ C
  • v=1.0×10⁵ m/s
  • B_z=+0.20 T; strip width 0.12 m

Sharp boundaries; negligible fringe fields; magnetic force only; nonrelativistic motion in the xy plane.

  1. Aπ μs\pi\ \mathrm{\mu s}
  2. B2π μs2\pi\ \mathrm{\mu s}
  3. C1.20 μs1.20\ \mathrm{\mu s}
  4. Dπ/2 μs\pi/2\ \mathrm{\mu s}

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