A small sphere of radius `r_(1)` and charge `q_(1)` is enclosed by a spherical shell of radius `r_(2)` and charge `q_(2)`. Show that if `q_(1)` is positive, charge will necessarily flow from the sphere to the shell (when the two are connected by a wire) no matter what the charge `q_(2)` on the shell is [Fig]

Explanation

To solve the problem, we need to analyze the electric potential at two points: one inside the sphere (point 1) and one on the surface of the shell (point 2). We will show that if the charge \( q_1 \) on the sphere is positive, the charge will flow from the sphere to the shell when they are connected by a wire, regardless of the charge \( q_2 \) on the shell.

### Step-by-Step Solution:

1. **Identify the Charges and Radii**:
- Let the charge on the small sphere be \( q_1 \) (which is positive).
- Let the charge on the spherical shell be \( q_2 \).
- The radius of the small sphere is \( r_1 \).
...