2) A glass sphere of radius R, centered at the origin, contains a point charge q>0 at the distance a R (make sure that ofr 0,) = 0). Write down the boundary conditions at the surface of th sphere in terms of the potentials. d) (10 points) Find the coefficients of the expansions that satisfy these b.c. Explain the reason why the derivatives of the Legendre polynomials must be orthogonal just like the polynomials themselves are. 2) A glass sphere of radius R, centered at the origin, contains a point charge q>0 at the distance a R (make sure that ofr 0,) = 0). Write down the boundary conditions at the surface of th sphere in terms of the potentials. d) (10 points) Find the coefficients of the expansions that satisfy these b.c. Explain the reason why the derivatives of the Legendre polynomials must be orthogonal just like the polynomials themselves are