Question

Find the energy stored in a uniformly charged solid sphere of radius r and charge q. Do it three different ways: (a) Use equation 2.43. You found the potential in problem 2.21?

Answer 1

There are three different methods to find the energy stored in a uniformly charged solid sphere: using equation 2.43 and the potential found in problem 2.21, using the formula for the electric potential energy of a point charge, or finding the electric field and using the relation U = 4πε0 * r^3 * E^2 / 3.

Step-by-step explanation:

To find the energy stored in a uniformly charged solid sphere, we can use three different methods. One way is to use equation 2.43 and the potential found in problem 2.21. Another way is to use the formula for the electric potential energy of a point charge, which is U = k * q^2 / r, where k is the electrostatic constant, q is the charge, and r is the radius. The third method is to find the electric field, E, at each point inside the sphere and use the relation U = 4πε0 * r^3 * E^2 / 3, where ε0 is the electric constant.