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

Force magnitudes in a uniform magnetic field. Tesla and newtons require the stated current/length or charge/speed; they are not directly convertible.

Tesla To Newton Formula

For a straight wire in a uniform field, F = B ร— I ร— L ร— sin(ฮธ), and B = F / (I ร— L ร— sin(ฮธ)) when the denominator is nonzero. Here I is current magnitude and L is wire length in the field. The moving-charge mode uses the following formula for force magnitude.

F = |q| v B sin(ฮธ)

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)
  • ฮธ is the angle between the velocity direction and the magnetic field direction

To calculate moving-charge force magnitude, multiply |q| by speed, magnetic flux density and sin(ฮธ). At ฮธ = 90ยฐ, F = |q| v B. Angles run from 0ยฐ to 180ยฐ; 0ยฐ and 180ยฐ give zero force. Zero current or wire length also gives zero forward force, but a zero denominator cannot determine a unique field in the reverse solve.

Tesla to Newtons Conversion Table (F = |q| ร— v ร— B ร— sin(ฮธ); |q| = 1 C, v = 1 m/s, ฮธ = 90ยฐ)
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 ฮธ = 90ยฐ (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(ฮธ).

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(ฮธ) (vector form: F = q(v ร— B)), where ฮธ 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| ยท v ยท B ยท sin(ฮธ).

  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 (ฮธ) between the velocity direction and the magnetic field direction (ฮธ = 90ยฐ means perpendicular).
  5. Next, use the formula F = |q| ยท v ยท B ยท sin(ฮธ) 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 (ฮธ = 90ยฐ), so sin(ฮธ) = 1. Then: F = |q| ยท v ยท B ยท sin(ฮธ) = 2 ยท 5 ยท 3 ยท 1 = 30 N.