[2019EM/QUIZ-02]

Electrodynamics                                                               Feb 1,2008

                                           2018 Quiz-II

1. Find the direction and magnitude of $\vec{E}$ at the center of a rhombus, with interior angles of $\pi/3$ and $2\pi/3$, with charges at the corners as shown in figure below. Assume that $ q= 1\times 10^{-8}$C, $a=5$cm 

2. Two spheres each of radius $R$ are placed so that they partially overlap. Thecharge densities in the overlap region is zero and in the two non overlappingregions is $+\rho$ and $-\rho$ respectively as shown in figure.The separation between the centres of the spheres is $D$.Show that the electric field in the overlap region is constant.