Fermion Labs

Parameters

Current (I)15.0 A

Radius (R)3.0 m

Probe Position

x (m)

y (m)

z (m)

Probe B-Field (μT)

Bx

0.00

By

0.00

Bz

3.14

Real-Time Computations

Magnetic Field Vector

\vec{B} = (0.00\hat{i} + 0.00\hat{j} + 3.14\hat{k})\, \mu\text{T}

B-Field Magnitude

|\vec{B}| = \sqrt{B_x^2 + B_y^2 + B_z^2} = 3.14\, \mu\text{T}

3D B-Field Vector

θ = 0.0°

φ = 0.0°

|B| = 3.14 μT

Live Telemetry

Awaiting Telemetry

The Biot-Savart Law computes magnetic fields from steady currents via integration over the wire path $d\vec{l}$ :

\vec{B} = \frac{\mu_0 I}{4\pi} \int \frac{d\vec{l} \times \hat{r}}{r^2}

For a circular loop of radius R at the center:

B_{\text{center}} = \frac{\mu_0 I}{2R}

On the axis of a loop at distance z:

B_z = \frac{\mu_0 I R^2}{2(R^2 + z^2)^{3/2}}

The direction of $\vec{B}$ follows the right-hand rule (cross product $d\vec{l} \times \hat{r}$ ).

For a straight infinite wire at distance d:

B = \frac{\mu_0 I}{2\pi d}