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Charged Particle Bending Radius Calculator

Find the radius of the circular path of a fast charged particle in a magnetic field.

Inputs

Results

Bending radius3.335641m
Bending radius0.00333564km

Chart

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Describe what you want to find — “bending radius of particle” — and jump to the right calculator.

How to use the charged particle bending radius calculator

Find the radius of the circular path of a fast charged particle in a magnetic field. Enter particle momentum energy, magnetic field in the fields above; the bending radius are computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “bending radius of particle”, “magnetic rigidity”, “cyclotron radius at high energy”, “calculate charged particle bending radius”, “find bending radius”.

Formula

Bending radius (m) = E × 1e9 / (CLIGHT × B)
Bending radius (km) = [Bending radius] / 1000

Variables

  • E — Particle momentum energy (GeV)
  • B — Magnetic field (T)

Worked example

With particle momentum energy = 1 GeV, magnetic field = 1 T, the calculator gives bending radius ≈ 3.335641 m; bending radius ≈ 0.00333564 km.

Frequently asked questions

What is the charged particle bending radius calculator used for?

Find the radius of the circular path of a fast charged particle in a magnetic field. It helps with questions such as “bending radius of particle”, “magnetic rigidity”, “cyclotron radius at high energy”.

What is the formula for the charged particle bending radius calculation?

Bending radius (m) = E × 1e9 / (CLIGHT × B). Bending radius (km) = [Bending radius] / 1000. Here E is particle momentum energy (GeV), B is magnetic field (T).

What inputs do I need for the charged particle bending radius calculator?

You need particle momentum energy in GeV, magnetic field in T. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use the charged particle bending radius calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the charged particle bending radius result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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