Magnetism Calculators

Magnetic Field of a Wire

Magnetic Force on a Moving Charge

Magnetic Force on a Current-Carrying Wire

Biot–Savart Law Calculator

Magnetic Field of a Long Straight Wire

Inputs

Results

B = (μ₀ × I) / (2π × r)

Where:

B = Magnetic field strength in Tesla (T)
I = Current in Amperes (A)
r = Distance from the wire in meters (m)
μ₀ = Permeability of free space = 4π × 10⁻⁷ T·m/A

Magnetic Field Direction:

The magnetic field forms concentric circles around the wire according to the right-hand rule.

Magnetic Force on a Moving Charge

Inputs

Charge (q) in Coulombs:

Velocity (v) in m/s:

Magnetic Field (B) in Tesla:

Angle (θ) between v and B:

Degrees Radians

Results

F = q × v × B × sin(θ)

Where:

F = Magnetic force in Newtons (N)
q = Charge in Coulombs (C)
v = Velocity in meters per second (m/s)
B = Magnetic field strength in Tesla (T)
θ = Angle between velocity and magnetic field vectors

Force Direction:

The force is perpendicular to both the velocity and magnetic field vectors.

Magnetic Force on a Current-Carrying Wire

Inputs

Current (I) in Amperes:

Length of wire (L) in meters:

Magnetic Field (B) in Tesla:

Angle (θ) between wire and B:

Degrees Radians

Results

F = I × L × B × sin(θ)

Where:

F = Magnetic force in Newtons (N)
I = Current in Amperes (A)
L = Length of wire in meters (m)
B = Magnetic field strength in Tesla (T)
θ = Angle between the wire and magnetic field

Force Direction:

The force is perpendicular to both the wire and magnetic field.

Biot–Savart Law Calculator

Inputs

Current (I) in Amperes:

Current element length (dl) in meters:

Distance from element (r) in meters:

Angle (θ) between dl and r:

Degrees Radians

Results

dB = (μ₀ / 4π) × (I × dl × sin(θ)) / r²

Where:

dB = Magnetic field contribution in Tesla (T)
I = Current in Amperes (A)
dl = Current element length in meters (m)
r = Distance from the element in meters (m)
θ = Angle between current element and distance vector
μ₀ = Permeability of free space = 4π × 10⁻⁷ T·m/A

The Biot-Savart Law is useful for calculating the magnetic field at a point due to a current-carrying element. For complex geometries, the contributions from all current elements must be integrated.

Magnetism Calculators

Magnetic Field of a Long Straight Wire

Inputs

Results

Magnetic Field Direction:

Magnetic Force on a Moving Charge

Inputs

Results

Force Direction:

Magnetic Force on a Current-Carrying Wire

Inputs

Results

Force Direction:

Biot–Savart Law Calculator

Inputs

Results

more posts:

Hello World 1

Hello World 3

Hello World 2