Question

The space between the plates of a parallel plate capacitor is filled with two dielectrics slab of dielectric constant k1and k2 . If the capacitor is charged to a potential V then at the interface between the two dielectrics , tell about the continuity and discontinuity of Vector E and Vector D ( displacement vector)

Answer 1

@Mashy

Answer 2

Plz help

Answer 3

@Vincent-Lyon.Fr

Answer 4

This may be a little bit beyond my kin :P.. but.. m sure @Vincent-Lyon.Fr would be able to answer this!

Answer 5

General rule is:
Component of \(\vec E\) parallel to the boundary is continuous.
Component of \(\vec D\) normal to the boundary has the discontinuity:
\(\vec D_{n2}-\vec D_{n1}= \large \sigma_{free}\)
where \( \large \sigma_{free}\) is the free surface-charge applied on the boundary.

Since the problem does not mention such free charges added between the slabs, then normal component of \(\vec D\) must be continuous in your problem.