How do you calculate the electric field due to a charged sphere?

To calculate the electric field due to a charged sphere, use Coulomb's Law and Gauss's Law.

Coulomb's Law states that the electric field at a point due to a point charge is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the point charge and the point at which the electric field is being calculated. For a charged sphere, we can break it down into infinitesimally small point charges and use Coulomb's Law to calculate the electric field due to each point charge. Then, we can integrate over the entire sphere to find the total electric field.

Gauss's Law is another method to calculate the electric field due to a charged sphere. It states that the electric flux through a closed surface is proportional to the charge enclosed within the surface. By choosing a spherical Gaussian surface that encloses the charged sphere, we can use Gauss's Law to calculate the electric field at any point outside the sphere.

Both methods should give the same result for the electric field due to a charged sphere. The formula for the electric field due to a charged sphere is:

E = kQ/r^2

where E is the electric field, k is Coulomb's constant, Q is the total charge of the sphere, and r is the distance from the centre of the sphere to the point at which the electric field is being calculated.