Hi. I have this problem, which I must solve. It says: two concentric conducting spherical shells, of radius a and b (a<b), are charged at Q and -Q respectively. The space between the spheres is filled at its half by an hemisphere of dielectric with dielectric constante ε.(adsbygoogle = window.adsbygoogle || []).push({});

a)Find the field for every point between the spheres.

b)Compute the charge distribution for the inner sphere.

c)Compute the surface density charge for the dielectric at r=a.

Well, I don't know how to start with this. It bothers me that the dielectric fills just one half of the space between the spheres, specially bothers me the interface between the dielectric and the "empty" space (the space is actually filled by the electric field), the problem is I don't know how to considere the induced charge on that interface, and I don't how ti find the entire electric field.

I was tempted to write that in the space within the dielectric the field is just:

[tex]E=\frac{Q}{4\pi \epsilon r^2}[/tex]

And the "empty" space has a field:

[tex]E=\frac{Q}{4\pi \epsilon_0 r^2}[/tex]

But then I wouldn't be having in mind the polarization on the dielectric.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Concentrical conducting spheres with charge distribution and dielectric

**Physics Forums | Science Articles, Homework Help, Discussion**