Magnetic Force on a Current-Carrying Wire Calculator

Your details

Choose which quantity you want to find. All other fields become inputs.
Magnitude of the external magnetic field in Tesla.
T
Electric current flowing through the wire in Amperes.
A
Unit for the wire length input.
Length of the wire segment inside the magnetic field.
m
Unit for the angle between the current direction and the magnetic field.
Angle between the current direction and the magnetic field vector. 90 degrees gives maximum force; 0 degrees gives zero force.
deg
Magnetic Force (F)
0.2N

Lorentz force on the wire in Newtons

Force per metre (F/L)1N/m
sin(theta)1
Angle (degrees)90deg
1 sin(theta)
Very low coupling<0.25Low coupling0.25-0.5Good coupling0.5-0.75Maximum force0.75+

Magnetic force: 0.200000 N

  • The wire is perpendicular to the field, which gives the maximum possible force for this current and field strength.
  • The force per metre of wire is 1.000000 N/m, meaning every additional metre of wire in the field adds that much force.

Next stepTo increase the force, you can raise the current, move the wire to a stronger field region, use a longer conductor, or rotate the wire closer to 90 degrees relative to the field.

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