Calculate magnetic force on a current-carrying wire from tesla, current, length, and angle, or solve tesla from force in newtons and vice versa.

Tesla to Newton Calculator

Most people want magnetic force from a field strength. This calculator leads with the wire formula, shows the reverse solve, and keeps the moving-charge version as a secondary option.

Tesla → Newtons
Newtons → Tesla
Moving Charge

Force on a current-carrying wire

Use F = B × I × L × sin(θ). At 90°, 1 tesla equals 1 newton per ampere-meter.

The cleanest interpretation of “tesla to newtons” needs current, wire length, and angle.

Magnetic field needed for a target force

Use B = F ÷ (I × L × sin(θ)). This is the reverse of the wire-force calculation.

This matches searches like “newton to tesla” better than a generic four-variable solver.

Force on a moving charge

Use F = q × v × B × sin(θ). This is here for the smaller physics-class intent.

This tab is valid physics, but it is not the primary search intent behind “tesla to newton.”

Results

Tesla To Newton Formula

The following formula is used to calculate the magnitude of the magnetic force exerted on a moving point charge in a magnetic field.

F = |q| \, v \, B \, \sin(\theta)

Variables:

  • F is the magnetic-force magnitude (Newtons, N)
  • q is the electric charge (Coulombs, C); the sign of q affects direction, not the magnitude
  • v is the speed of the charge (meters/second, m/s)
  • B is the magnetic field strength (Tesla, T)
  • θ is the angle between the velocity direction and the magnetic field direction

To calculate the force magnitude, multiply |q| by the speed and the magnetic field strength, then multiply by sin(θ). In the special case where the motion is perpendicular to the field (θ = 90°), sin(θ) = 1 and the formula reduces to F = |q| v B.

Tesla to Newtons Conversion Table (F = |q| × v × B × sin(θ); |q| = 1 C, v = 1 m/s, θ = 90°)
Magnetic Field (T) Force (N)
0.000050.00005
0.000100.00010
0.0010.001
0.0050.005
0.0100.010
0.0200.020
0.0500.050
0.100.10
0.200.20
0.300.30
0.500.50
0.750.75
1.001.00
1.501.50
2.002.00
2.502.50
3.003.00
4.004.00
5.005.00
10.0010.00
*Assumes θ = 90° (perpendicular motion) and |q| = 1 C, v = 1 m/s so that F (N) = B (T). Adjust proportionally for other |q|, v, or angles using sin(θ).

What is Tesla To Newton?

A Tesla to Newton conversion is not a direct conversion because they are units measuring different physical quantities. Tesla (T) measures magnetic flux density, while Newton (N) measures force. However, they are related through the magnetic part of the Lorentz force law: the magnetic-force magnitude on a moving charge is F = |q| v B sin(θ) (vector form: F = q(v × B)), where θ is the angle between the velocity and magnetic field.

How to Calculate Tesla To Newton?

The following steps outline how to relate Tesla (magnetic field strength) to Newtons (magnetic-force magnitude) using the formula: F = |q| · v · B · sin(θ).

  1. First, determine the charge (q) in Coulombs (C).
  2. Next, determine the speed of the charge (v) in meters/second (m/s).
  3. Next, determine the magnetic field strength (B) in Tesla (T).
  4. Next, determine the angle (θ) between the velocity direction and the magnetic field direction (θ = 90° means perpendicular).
  5. Next, use the formula F = |q| · v · B · sin(θ) to calculate the magnetic-force magnitude (F) in Newtons (N).
  6. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

charge (q) = 2 Coulombs

speed of the charge (v) = 5 meters/second

magnetic field strength (B) = 3 Tesla

Assume the velocity is perpendicular to the magnetic field (θ = 90°), so sin(θ) = 1. Then: F = |q| · v · B · sin(θ) = 2 · 5 · 3 · 1 = 30 N.