A spherical shell of radius `R_(1)` with a uniform charge q has a point charge `q_0` at its center. Find the work performed by the electric forces during the shell expansion from radius `R_(1)` to radius `R_(2)`.

Explanation

To find the work performed by the electric forces during the expansion of a spherical shell from radius \( R_1 \) to radius \( R_2 \), we will follow these steps:

### Step 1: Understand the System
We have a spherical shell of radius \( R_1 \) with a uniform charge \( q \) and a point charge \( q_0 \) located at its center. We need to calculate the work done when the radius of the shell changes from \( R_1 \) to \( R_2 \).

### Step 2: Calculate Initial Potential Energy \( U_{\text{initial}} \)
The total initial potential energy \( U_{\text{initial}} \) consists of two parts:
1. Self-energy of the spherical shell.
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