What Is the Biot-Savart Law & Wire Magnetic Field Calculator?
The Biot-Savart law was discovered by Jean-Baptiste Biot and Félix Savart in 1820 following Hans Christian Ørsted’s discovery of electromagnetism.
How Does the Biot-Savart Law & Wire Magnetic Field Calculator Work?
Moving electric charges generate circular magnetic field lines that encircle the current path in accordance with Ampère’s circuital law.
Biot-Savart Law & Wire Magnetic Field Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
B-field is permeability of free space mu0 times current I divided by 2 pi times radial distance r.
How to Use the Biot-Savart Law & Wire Magnetic Field Calculator
- Input the current flowing through the conductor in Amperes.
- Specify the radial perpendicular distance from the wire in centimeters.
Step-by-Step Example Calculation
15 Amp Residential Branch Circuit at 5 cm
Input Values:
Understanding Your Result
Magnetic Field (µT): Field intensity in microtesla.
Magnetic Field (Gauss): Intensity in standard CGS Gauss (1 T = 10,000 G).
Mutual Force: Repulsion or attraction force per linear meter on adjacent conductor.
Factors That Affect the Result
- Current magnitude (linear proportional) and radial distance (inversely proportional).
When Should You Use This Calculator?
- Power transmission line EMF exposure safety audits, switchgear busbar bracing design, and magnetic sensor shielding.
Assumptions & Limitations
- Assumes a long straight cylindrical wire in non-magnetic medium (relative permeability μr ≈ 1.0).
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard Biot-Savart magnetostatic formulation with exact magnetic constant μ₀.