Biot–Savart Law Calculator
Compute the magnetic field from currents (straight wire and loop).
Input Data
Current A
A
Distance M
m
Results
B = μ₀I/(2πr).
0.000002T
In microtesla.
2μT
B at loop center.
0.0000062832T
In microtesla.
6.2832μT
μ₀ = 4πe-7.
0.0000012566T·m/A
At a glance:Straight wire: B = μ₀I/(2πr); loop center: B = μ₀I/(2R). Complements ampere-force and solenoid-magnetic-field.
Formula
B_wire = μ₀I/(2πr).
B_loop = μ₀I/(2R).
$$d\mathbf{B} = \frac{\mu_0}{4\pi} \frac{I d\mathbf{l} \times \hat{r}}{r^2}, \quad B_{\text{wire}} = \frac{\mu_0 I}{2\pi r}, \quad B_{\text{loop}} = \frac{\mu_0 I}{2R}$$How to Use
- Enter current and distance (and loop radius).
- The tool returns the fields.
Case Studies
I=1 A, r=0.01 m (wire)
B ≈ 20 µT.
FAQ
µ₀ value?
4π × 10⁻⁷ H/m.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.