Find the energy stored in the electirc field produced by a metal sphere of radius R containing a charge Q.

Explanation

To find the energy stored in the electric field produced by a metal sphere of radius \( R \) containing a charge \( Q \), we can follow these steps:

### Step 1: Understand the Electric Field
For a charged metal sphere, the electric field \( E \) outside the sphere (at a distance \( x \) from the center, where \( x > R \)) can be given by Gauss's law:
\[ E = \frac{1}{4\pi\epsilon_0} \frac{Q}{x^2} \]
where \( \epsilon_0 \) is the permittivity of free space.
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