A conducting sphere is a spherical object made of a material that allows electric charges to move freely throughout its surface. This means that the charges can redistribute themselves evenly on the surface of the sphere, resulting in a uniform electric field inside the sphere.
The electric field for a conducting sphere can be calculated using the formula E = Q/(4πεr²), where Q is the charge on the sphere, ε is the permittivity of the surrounding medium, and r is the distance from the center of the sphere. This formula applies for all values of r, including inside the sphere (r < a), on the surface of the sphere (a < r < b), and outside the sphere (r > b).
Inside a conducting sphere, the electric field is zero. This is because the charges on the surface of the sphere redistribute themselves to cancel out any external electric field. As a result, the net electric field inside the sphere is zero.
As the distance from the center of the sphere increases, the electric field decreases. This follows the inverse square law, meaning that the electric field decreases proportionally to the square of the distance. This relationship holds true for all values of r, including inside the sphere, on the surface, and outside the sphere.
The radius values, a and b, represent the boundaries of the conducting sphere. Inside the sphere (r < a), the electric field is zero. On the surface of the sphere (a < r < b), the electric field is non-zero and depends on the charge and radius of the sphere. Outside the sphere (r > b), the electric field follows the inverse square law with respect to the distance from the center of the sphere.
