Ampere's law

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Ampere's law
관련코스 전기역학
소분류 물리
선행 키워드
연관 키워드

Integral form

[math]\oint_C \mathbf{B}\cdot d\mathbf{s} = \mu_0 I_{enc}[/math]

or

[math]\oint_C \mathbf{H}\cdot d\mathbf{s} = I_{f,enc}[/math]
Sign convention
Use right-hand rule for the line integral
Possible confusion
The surface can be any surface as long as the boundary coincides with C

Differential form

[math]\nabla\times\mathbf{B} = \mu_0 \mathbf{J}[/math]

or

[math]\nabla\times\mathbf{H} = \mathbf{J}_f[/math]
bound currents

The total current consists of three components:

[math]\mathbf{J} = \mathbf{J}_f + \underbrace{\mathbf{J}_M + \mathbf{J}_P}_{\textrm{bound currents}}[/math]

where [math]\mathbf{J}_M[/math] is due to magnetization, whereas [math]\mathbf{J}_P[/math] is due to polarization.