Fermion Labs

Parameters

Current (I)20 A

Turns (N)10

Radius (R)1.5 m

Length (L)6.0 m

Probe Position

x (m)

y (m)

z (m)

Iron Core

Probe B-Field (μT)

Bx

0.00

By

0.48

Bz

37.59

Derived Quantities

B ideal (μ₀nI)

41.89 μT

|B| numerical

37.59 μT

Self-Inductance L

148.044 μH

Energy U_B

0.0296 J

Flux Φ_B

296.09 μWb

Turns density n

1.67 /m

|\vec{B}| = 37.59\,\mu\text{T}

3D B-Field Vector

θ = 0.7°

φ = 90.0°

|B| = 37.59 μT

Live Telemetry

Awaiting Telemetry

A solenoid produces a nearly uniform magnetic field inside its core. The ideal infinite solenoid result:

B_{\text{inside}} = \mu_0 \, n \, I

n = \frac{N}{L} \quad \text{(turns per unit length)}

The magnetic flux through the solenoid cross-section and its self-inductance:

\Phi_B = B \cdot A = \mu_0 n I \cdot \pi R^2

L = \mu_0 n^2 \ell A = \mu_0 \frac{N^2}{L} \pi R^2

Energy stored in the magnetic field:

U_B = \frac{1}{2} L I^2 = \frac{B^2}{2\mu_0} \cdot V

Outside an ideal infinite solenoid $B = 0$ . For a finite solenoid, fringe fields are computed numerically via Biot-Savart over the helical path.