- #1
lys04
- 73
- 3
- Homework Statement
- Deriving the boundary conditions for the tangential and normal components of the magnetic field at a current sheet
- Relevant Equations
- Ampere's law: $$\oint \vec B \cdot d \vec l = \mu_{0} I_{enc}$$
In this diagram, why is the H vector/ B vector (They differ by a constant of $$ \mu_{0} $$) pointing in the same direction on opposite sides of the current sheet?
Also, I'm a bit confused on how did they go from $$ K \Delta w = H_{1,t} \Delta w - H_{2,t} \Delta w $$ to $$ (\vec H_{1} - \vec H_{2} ) \times \hat n_{12} = \vec K $$
The former is only got to do with magnitude whereas the latter involves directions right?
Any help is appreciated!!
Also, I'm a bit confused on how did they go from $$ K \Delta w = H_{1,t} \Delta w - H_{2,t} \Delta w $$ to $$ (\vec H_{1} - \vec H_{2} ) \times \hat n_{12} = \vec K $$
The former is only got to do with magnitude whereas the latter involves directions right?
Any help is appreciated!!