Two infinite planes at an angle $\pi /n$ with n =3, 4, 6, 8 $\cdots$

In this case we are considering wo conducting planes at an angle $\theta$ where $\theta=\pi/n$ where $n$ is 3, 4, 6, 8 $\cdots$ ( see Fig(2.4.1) ): In this problem we have to ensure that the potential vanishes on both of the planes. This condition can be satisfied by means of multiple images. The computation of electric potential, electric field and induced charge density is straight forward.

Figure 6: A charge between two planes, perpendicular to the palne of the figure and at an angle $\pi /6$. The positions of image charges are shown. Note that the original charge and the image charges are arranged so that there are pairs of charges are equidistant from the two planes with each charge in the pair having opposite sign. This ensures that the potential at each of the plane is zero. Also, all the image charges are in the excluded region.