Electricity & Magnetism
Ampere's Law
Line integral of magnetic field around closed loop equals μ₀ times enclosed current.
Variables
∮B·dlT·m
Line integral
Around closed path
μ₀H/m
Permeability
4π×10⁻⁷
I_encA
Enclosed current
Current through loop
Derivation
One of Maxwell's equations (magnetostatics form).
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Common questions
What is the Ampere's Law formula?
Ampere's Law is written oint B→ ·dl→ = μ₀ Iₑₙc. Line integral of magnetic field around closed loop equals μ₀ times enclosed current. It belongs to Electricity & Magnetism, under Magnetism.
What are the units in oint B→ ·dl→ = μ₀ Iₑₙc?
In SI units, ∮B·dl is line integral, measured in kg·m/(A·s²); μ₀ is permeability, measured in kg·m/(A²·s²); I_enc is enclosed current, measured in A.
How is the Ampere's Law formula derived?
One of Maxwell's equations (magnetostatics form). The result is oint B→ ·dl→ = μ₀ Iₑₙc.