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Electricity & Magnetism
Electricity & Magnetism

Magnetic Force on Wire

F=BILsin⁡θF = BIL\sin\theta

Magnetic force on current-carrying wire.

Variables

F
Magnetic force
Force on wire
In SI units: kg·m/s²
Allowed values: 0 or more
N
B
Magnetic field
Field strength
In SI units: kg/(A·s²)
T
I
Current
Current in wire
A
L
Length
Wire length in field
Allowed values: greater than 0
m
θ
Angle
Between I and B
In SI units: rad
°

Derivation

F = IL × B, magnitude |F| = BIL sin θ.

Your notes

0/5000

Check value

Round inputs run through this page's calculator. Use it to test your own working or a rearranged form. It is a test case, not a real-world example.

  • B = 2 T (Magnetic field)
  • I = 3 A (Current)
  • L = 4 m (Length)
  • θ = 5 ° (Angle)

Result: F = 2.0917378 N

Other electricity & magnetism formulas with the same quantities

Where this formula is listed

Common questions

What is the Magnetic Force on Wire formula?

Magnetic Force on Wire is written F = BIL sin θ. Magnetic force on current-carrying wire. It belongs to Electricity & Magnetism, under Magnetism.

What are the units in F = BIL sin θ?

In SI units, F is magnetic force, measured in kg·m/s²; B is magnetic field, measured in kg/(A·s²); I is current, measured in A; L is length, measured in m; θ is angle, measured in rad.

How is the Magnetic Force on Wire formula derived?

F = IL × B, magnitude |F| = BIL sin θ. The result is F = BIL sin θ.