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Main > Application > Sample problems

Linear particle accelerator

Linear particle accelerator (linac) is used to accelerate charged particles.

Problem Type:
Axisymmetric problem of electrostatics.

Geometry:

Linear particle accelerator

Given:
Relative permittivity of vacuum ε = 1;
Ring potential U+ = 15 kV.
Emitter potential U- = -15 kV.
Charge (electron) q = -1.602e-19 C
Mass (electron) m = 9.109e-31 kg
Initial velocity vy = vz = vφ = 0 m/s.
Emitter position (0; 0; 0).

Problem:
Calculate the charged particle speed at the center of the linear accelerator ring.

Solution:
Particle trajectory may be calculated using the built-in function in QuickField Electrostatic postprocessor or by the free tool TrajectoryTracer.

Results:

Particle speed at the ring center is vz = 90000 km/s.

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