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Biot Savart Law

Calculate Coulomb's law force, electric field E, magnetic field B, Lorentz force, Faraday's induction, and capacitive/inductive reactance for biot savart law.

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Input Electromagnetic Parameters

Enter charge Q, magnetic field B, current I, or voltage V.

Calculated Electric Power (P)

600.00 Watts (W)
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Maxwell's Equations

Maxwell's 4 unified electromagnetic equations relate electric fields E and magnetic fields B to charges and currents: ∇·E = ρ/ε₀, ∇·B = 0, ∇×E = -∂B/∂t, and ∇×B = μ₀J + μ₀ε₀(∂E/∂t).

Calculation Methodology & Details

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Formula

Coulomb's Law: F = k_e × (|q₁q₂| / r²) Lorentz Force: F = q(E + v × B) Faraday's Law: EMF = -dΦ_B / dt Inductive Reactance: X_L = 2π f L

Applies Biot-Savart magnetic field integrals, Gauss's flux theorem, Coulomb electrostatic forces, and Ampere-Maxwell circulation laws.

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Important Disclaimer

Calculations assume linear dielectric and magnetic media with constant vacuum permittivity ε₀ and permeability μ₀ unless specified.

How to Calculate Step-by-Step

Follow these steps to complete the calculation:

1

Step 1

Enter electric charge q (Coulombs), current I (Amps), or magnetic field flux density B (Tesla).

2

Step 2

Set AC frequency f (Hz), wire length L, or separation distance r (meters).

3

Step 3

View electric field strength (V/m), Lorentz magnetic force (N), power dissipation (Watts), or skin depth (mm).

Detailed Insights & Expert Guide

ℹ️ About this Calculation

The Biot Savart Law solves Coulomb electrostatic forces, Maxwell's electromagnetic field equations, Biot-Savart magnetic fields, Faraday induction EMF, skin depth, and AC power factor calculations.

Variable Glossary

Input

Magnetic Field (B)

Vector field measuring magnetic flux density per unit area in Teslas (1 Tesla = 10,000 Gauss).

Parameter

Permittivity (ε₀)

Vacuum dielectric constant ε₀ ≈ 8.854 × 10⁻¹² F/m relating electric charge to field intensity.

FAQ

What is Faraday's Law of Electromagnetic Induction?
Faraday's Law states that a changing magnetic flux through a wire loop induces an electromotive force (EMF): EMF = -N (dΦ_B / dt). The negative sign reflects Lenz's law.
What is the Lorentz Force?
The Lorentz force F = q(E + v × B) is the total electromagnetic force exerted on a charged particle q moving with velocity v through combined electric E and magnetic B fields.
What is skin depth in AC conductors?
Skin depth δ = √(2 / [ω μ σ]) is the depth below the surface of a conductor at which high-frequency AC current density drops to 1/e (~37%) of its surface value due to eddy current shielding.