Electricity & Magnetism

Magnetic Field (Solenoid)

B=μ0nIB = \mu_0 nI

Uniform magnetic field inside ideal solenoid.

Variables

B
Magnetic field
Field inside solenoid
T
μ₀
Permeability
4π×10⁻⁷
H/m
n
Turn density
Turns per unit length
1/m
I
Current
Current in solenoid
A

Derivation

From Ampere's law with rectangular path.

Your notes

0/5000

Common questions

What is the Magnetic Field (Solenoid) formula?

Magnetic Field (Solenoid) is written B = μ₀ nI. Uniform magnetic field inside ideal solenoid. It belongs to Electricity & Magnetism, under Magnetism.

What are the units in B = μ₀ nI?

In SI units, B is magnetic field, measured in kg/(A·s²); μ₀ is permeability, measured in kg·m/(A²·s²); n is turn density, measured in 1/m; I is current, measured in A.

How is the Magnetic Field (Solenoid) formula derived?

From Ampere's law with rectangular path. The result is B = μ₀ nI.