Keys: potential, electric field and electric displacement field; Gauss theorem; polarization field
(equivalent polarization charge), etc.
(due on Tue. 3/23)
- Problems 1-1-1 (hint: Gauss theorem) and 1-1-4 in the textbook;
- Problems 1-2-1, 1-2-2 and 1-2-3 in the textbook;
- Find the electric field and potential of a uniform line charge \( q \) of radius \( a \) in the far field
region (\( r \gg a \)). (hint: the ring charge is located in the \( xoy \)-plane; use spherical
coordinates.);
- Find the electric field and potential inside and outside a polarized sphere of radius \( a \), where the polarization
field is \( \mathbf{P}(\mathbf{r}) = P \mathbf{r} \).
