Have you tried part (b) first?jerry222 said:
Yes. My hint would be to notice that the potential on the surface of the sphere, that you are given, can be expressed as the sum of just a few Legendre polynomials with certain coefficients. Then compare to the general solution of Laplace's equation in spherical coordinates for problems with azimuthal symmetry. Hopefully, you're familiar with equation (14) here.jerry222 said:
Electrodynamics is a branch of physics that studies the interactions between electrically charged particles and electromagnetic fields. It encompasses the study of electric charges, electric and magnetic fields, and their interactions.
The potential of a non conducting shell refers to the electric potential on the surface of a non conducting object. It is a measure of the electric potential energy per unit charge at a given point on the surface of the object.
The potential of a non conducting shell can be calculated using the formula V = kQ/r, where V is the potential, k is the Coulomb's constant, Q is the charge on the shell, and r is the distance from the center of the shell to the point where the potential is being calculated.
Finding the potential of a non conducting shell is important in understanding the behavior of electric fields and their interactions with non conducting objects. It also allows us to calculate the electric potential energy of the object and determine its equilibrium state.
Yes, the potential of a non conducting shell can change if the charge on the shell or the distance from the center of the shell is altered. It can also change if there are other electrically charged objects nearby that can influence the electric field around the shell.