Magnetic Field Inside a Long Thin Solenoid Calculator

Posted by Dinesh on

Calculate magnetic field inside a tightly wound long thin solenoid using this simple magnetic field calculator online.

For a long, thin solenoid, the magnetic field lines outside the solenoid spread out in all 3 dimensions, so the magnetic field outside the solenoid's wall is fairly weak. On the other hand, the field lines inside the solenoid are mostly confined to the solenoid's tube and cannot spread our, so the magnetic field inside the solenoid is much stronger than outside it. Consequently, the discontinuity across the solenoid's current is dominated by the inside field,

B = μ0 • I • (N/L)

Tightly Wound Solenoid Magnetic Field Calculation

Formula:

B = μ0 • I • (N/L)

Where:
I = current
(N/L) = solenoid loops
μ0 = 4π • 10-7 Tm/A
Example:
inside a tightly wound solenoid with (N/L) = 120 loops/cm = 12,000 loops/m, a 50-ampere current creates magnetic field
B = (4π • 10-7 Tm/A) × (50 A) × (12,000 -1) ≈ 0.75 T.