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llandau
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How to calculate gravitational potential inside a homogenous sphere of mass m? I am curious because I had to solve the classic problem of the tunnel through Earth and wanted to generalize when the tunnel is not a diameter.
The electric potential inside a homogenous sphere can be calculated using the formula: V = (3/2) * (k * Q * r2) / R3, where V is the electric potential, k is the Coulomb's constant, Q is the charge of the sphere, r is the distance from the center of the sphere, and R is the radius of the sphere.
Yes, the electric potential inside a homogenous sphere is directly proportional to the distance from the center of the sphere. This means that the potential decreases as you move further away from the center.
Yes, the electric potential inside a homogenous sphere can be negative if the charge of the sphere is negative. In this case, the potential is negative towards the center of the sphere and positive towards the outer surface.
The electric potential inside a homogenous sphere is similar to that of a point charge, but it is not the same. The potential of a homogenous sphere is only dependent on the distance from the center, whereas the potential of a point charge also depends on the direction of the electric field.
No, the electric potential inside a homogenous sphere is not constant at all points. The potential is highest at the center of the sphere and decreases as you move towards the outer surface. It also changes depending on the charge and radius of the sphere.