# Tag Info

1 vote

### Snell's law for the $D$ field

Snell's law depends on the linearity assumption that $\bf D=\epsilon E$ (In Gaussian units, where $\epsilon_0=1$). This is used at the start of derivations to eliminate $\bf D$.
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### Snell's law for the $D$ field

The derivation of Snell's law is indeed derived by assuming that the component of the E-field parallel to the interface between the two materials is continuous (i.e. the sum of the parallel components ...
• 133k

### Numerical calculation of electric field in dielectric medium

Just to add some context, if you consider a plane surface parallel to the plates and large enough so that all the electric field goes through it then you have Gauss law and as expressed by Maxwell div ...
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1 vote

### Numerical calculation of electric field in dielectric medium

There is also issue connected with my previous post. Poisson equation (in general) can describe medium with dielectrics. This has been described in Nagel's publication: James R. Nagel Solving the ...

### Numerical calculation of electric field in dielectric medium

I have encountered a general advice (in electron optics books and software manuals (SIMION)). The simplest way to detect, if solution is good enough, is setting double mesh accuracy (0.5 mesh step) or ...

### Do conductors have bound charges?

The language at the outset is different from what is used in a chemistry of materials perspective. It also leaves a sense of sloppiness, throwing around terminologies and using somewhat circular ...
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1 vote

### Do conductors have bound charges?

In a metal the free charges counter external macroscopic fields. Therefore there is no polarisation of the bound, inner, electrons. For ultraviolet frequencies and beyond this is no longer true and ...
• 25.6k
1 vote
Accepted

### A capacitor partially filled with dielectric

For some background, let's remind ourselves that the electric field is a conservative field. Because of this, we can define potentials that are independent of the particular path of integration. So ...
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Accepted

### Do conductors have bound charges?

You are correct. In a typical conductor, like a metal, the charges are all considered free charges. That includes both the mobile electrons and the immobile lattice protons. The reason is, as you say, ...
• 104k
1 vote
Accepted

### Energy in Dielectric Medium as a Sea of Dipoles

You are not asking exactly the question that I am about to answer, but I think my answer will be precisely answer the essence of your confusion, so here goes: There is a tremendous difference between ...
1 vote

### Electric field at a point due to dielectric inserted in between a parallel plate capacitor

The induced charges on the dielectric will attract the charges on the plates. Since the dielectric is inserted partially between the two plates, the charge on the plate near the dielectric will ...
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1 vote

### Electric field at a point due to dielectric inserted in between a parallel plate capacitor

Consider the situation before the dielectric was introduced (left diagram) and after the dielectric was introduced (right diagram). There are two possible scenarios. The first is when the capacitor ...
• 98k
Let me ask , what is Electric field due to a single plate of charge of density $\sigma$ ? It's : $$E_{single}= \frac{\sigma}{2\epsilon_0}$$ Even though there is polarization of the dielectric , but ...