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Electricity & Magnetism
dB=μ0I4πdlsin⁡θr2dB = \frac{\mu_0 I}{4\pi}\frac{dl \sin\theta}{r^2}

Magnetic field from current element.

Variables

dB
Magnetic field
Field from element
T
μ₀
Permeability
4π×10⁻⁷
H/m
I
Current
Current in wire
A
dl
Length element
Small wire segment
m
θ
Angle
Between dl and r
°
r
Distance
From element
m

Derivation

Fundamental law of magnetostatics.

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Common questions

What is the Biot-Savart Law formula?

Biot-Savart Law is written dB = μ₀ I/4πdl sinθ/r². Magnetic field from current element. It belongs to Electricity & Magnetism, under Magnetism.

What are the units in dB = μ₀ I/4πdl sinθ/r²?

In SI units, dB is magnetic field, measured in kg/(A·s²); μ₀ is permeability, measured in kg·m/(A²·s²); I is current, measured in A; dl is length element, measured in m; θ is angle, measured in rad; r is distance, measured in m.

How is the Biot-Savart Law formula derived?

Fundamental law of magnetostatics. The result is dB = μ₀ I/4πdl sinθ/r².