- #1
Apteronotus
- 202
- 0
Hi,
I have a question regarding the boundary condition present for a dielectric immersed in a static field. I hope one of you physics guru's can shed some light on this.
Suppose we have a dielectric in space subjected to some external static electric field.
I have read (without explanation) that at the boundary of the dielectric the potential [itex]\Phi[/itex] satisfies
[itex]
k\frac{\partial \Phi}{\partial n_i} = \frac{\partial \Phi}{\partial n_e}
[/itex]
where [itex]\frac{\partial}{\partial n}[/itex] represent the derivatives along the outward unit normal just interior, [itex]i[/itex], and just exterior, [itex]e[/itex], of the dielectric and [itex]k[/itex] is the dielectric constant.
can anyone shed some light on why this is so?
I have a question regarding the boundary condition present for a dielectric immersed in a static field. I hope one of you physics guru's can shed some light on this.
Suppose we have a dielectric in space subjected to some external static electric field.
I have read (without explanation) that at the boundary of the dielectric the potential [itex]\Phi[/itex] satisfies
[itex]
k\frac{\partial \Phi}{\partial n_i} = \frac{\partial \Phi}{\partial n_e}
[/itex]
where [itex]\frac{\partial}{\partial n}[/itex] represent the derivatives along the outward unit normal just interior, [itex]i[/itex], and just exterior, [itex]e[/itex], of the dielectric and [itex]k[/itex] is the dielectric constant.
can anyone shed some light on why this is so?
Last edited: