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BIOT–SAVART LAW

Interactive 3D Visualization & Direction Control

Biot–Savart Law

dH = I dl × aR / (4πR²)

The differential magnetic field intensity produced at a point P by a current element is proportional to the current element and inversely proportional to the square of the distance.

Interactive Parameters & Direction of Flow

Current Flow Direction:
H = 0.00 A/m
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Biot–Savart Law

The Biot–Savart law determines the magnetic field intensity produced at a point P due to a current element I dl.

dH = I dl × aR / (4πR²)

The direction of magnetic field intensity is determined using the cross product and right-hand rule.

Forms of Biot–Savart Law

Line Current

dH = I dl sinθ / (4πR²)

For a line current, the current element is I dl.

Surface Current

dH = K ds sinθ / (4πR²)

K represents surface current density.

Volume Current

dH = J dv sinθ / (4πR²)

J represents volume current density.

Practical Applications

⚡ Current-Carrying Wires

Used to calculate magnetic field strength near conductors.

🌀 Coils & Solenoids

Determines magnetic fields produced by circular loops and coils.

🔧 Electromagnets

Helps engineer desired magnetic flux concentrations.

⚙ Electric Machines

Crucial for motor and generator magnetic circuit design.