It just said that a charge Q is distributed uniformly in the lower hemisphere. Find the potential inside and outside.mfb said:I don't think you can avoid an integration over the sphere.
What is the charge distribution?
shinobi20 said:Homework Statement
Suppose a charge is distributed in a lower half region of a sphere and the upper half has zero charge. What is the potential inside?
All points inside the sphere. If it were a hollow sphere, laplace equation will do but for this case, I think it should be poisson equation?TSny said:Are you meant to find the potential at all points inside, or just on the axis of the hemisphere?
The concept of potential inside a sphere with two regions refers to the electric potential that exists within a spherical object that has two distinct regions with different electric properties.
The potential inside a sphere with two regions can be calculated by using the equation: V = kQ/R, where V is the potential, k is the Coulomb's constant, Q is the charge, and R is the radius of the sphere.
Knowing the potential inside a sphere with two regions is important in understanding the behavior of electric fields and charges within the sphere. It can also help in predicting the flow of electric currents and designing electrical systems.
The potential inside a sphere with two regions differs from that of a single region sphere because the presence of two regions creates two distinct electric fields with different magnitudes and directions. This results in a more complex potential distribution within the sphere.
Yes, the potential inside a sphere with two regions can be negative. This occurs when the charge in one region is negative and the charge in the other region is positive, resulting in a net negative potential within the sphere.