A charge Q has been divided on two concentirc conducting spheres of radii `R_(1) and R_(2) (R_(1) gt R_(2))` such that the surface charge densities on both the sphere is same. Find the potential at their common center.

Explanation

To find the potential at the common center of two concentric conducting spheres with the same surface charge density, we can follow these steps:

### Step 1: Understand the Problem
We have two concentric conducting spheres with radii \( R_1 \) and \( R_2 \) (where \( R_1 > R_2 \)). The total charge \( Q \) is distributed on both spheres such that the surface charge densities \( \sigma \) on both spheres are equal.

### Step 2: Relate Total Charge to Surface Charge Density
The total charge \( Q \) on the two spheres can be expressed in terms of the surface charge density \( \sigma \):
\[
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