Magnetic Force on Current-Carrying Wire Calculator
Calculate the magnetic force acting on a current-carrying wire in a magnetic field using F = BIL sin(α)
Calculate Magnetic Force
Strength of the magnetic field
Electric current flowing through the wire
Length of the wire segment in the magnetic field
Angle between current direction and magnetic field
Magnetic Force Results
Formula used: F = B × I × L × sin(α)
Input values: B = 0.000e+0 T, I = 0.000 A, L = 0.000 m, α = 90°
Direction: Force is perpendicular to both current and magnetic field (right-hand rule)
Force Analysis
Example Calculation
Electric Motor Wire Example
Magnetic Field (B): 0.5 T (typical motor field)
Current (I): 10 A (motor operating current)
Wire Length (L): 0.2 m (active conductor length)
Angle (α): 90° (perpendicular orientation)
Calculation
F = B × I × L × sin(α)
F = 0.5 T × 10 A × 0.2 m × sin(90°)
F = 0.5 × 10 × 0.2 × 1
F = 1.0 N
Key Concepts
Magnetic Force
Force perpendicular to both current and magnetic field
Magnetic Field
Magnetic flux density (Tesla)
Current
Electric current through wire (Amperes)
Length
Length of wire in magnetic field
Applications
Electric motors and generators
Mass spectrometers
Maglev trains and linear motors
Loudspeakers and microphones
Electromagnetic relays
Electromagnetic brakes
Understanding Magnetic Force on Current-Carrying Wires
What is Magnetic Force?
When a current-carrying wire is placed in a magnetic field, each moving electron experiences the Lorentz force. The cumulative effect of all these individual forces results in a net force on the wire itself, known as the magnetic force or Ampère force.
Physical Principles
- •Force is always perpendicular to both current and magnetic field
- •Direction determined by right-hand rule
- •Maximum force when current and field are perpendicular
- •Zero force when current and field are parallel
Formula Explanation
F = B × I × L × sin(α)
- F: Magnetic force (Newtons)
- B: Magnetic flux density (Tesla)
- I: Electric current (Amperes)
- L: Length of conductor (meters)
- α: Angle between current and magnetic field
Right-Hand Rule: Point fingers in current direction, curl towards magnetic field direction, thumb points in force direction.