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Force on a Current-Carrying Wire Calculator

Find the magnetic force on a wire carrying current across a magnetic field.

Inputs

Results

Magnetic force0.5N
Magnetic force500mN

Chart

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Describe what you want to find — “force on wire in magnetic field” — and jump to the right calculator.

How to use the force on a current-carrying wire calculator

Find the magnetic force on a wire carrying current across a magnetic field. Enter current, wire length in field, magnetic field, angle between wire and field in the fields above; the magnetic force are computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “force on wire in magnetic field”, “motor force”, “F = ILB sin θ”, “calculate force on a current-carrying wire”, “find magnetic force”.

Formula

Magnetic force (N) = I × L × B × sin(th)
Magnetic force (mN) = [Magnetic force] × 1000

Variables

  • I — Current (A)
  • L — Wire length in field (m)
  • B — Magnetic field (T)
  • th — Angle between wire and field (°)

Worked example

With current = 5 A, wire length in field = 0.5 m, magnetic field = 0.2 T, angle between wire and field = 90 °, the calculator gives magnetic force ≈ 0.5 N; magnetic force ≈ 500 mN.

Frequently asked questions

What is the force on a current-carrying wire calculator used for?

Find the magnetic force on a wire carrying current across a magnetic field. It helps with questions such as “force on wire in magnetic field”, “motor force”, “F = ILB sin θ”.

What is the formula for the force on a current-carrying wire calculation?

Magnetic force (N) = I × L × B × sin(th). Magnetic force (mN) = [Magnetic force] × 1000. Here I is current (A), L is wire length in field (m), B is magnetic field (T), th is angle between wire and field (°).

What inputs do I need for the force on a current-carrying wire calculator?

You need current in A, wire length in field in m, magnetic field in T, angle between wire and field in °. 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 force on a current-carrying wire 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 force on a current-carrying wire 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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