Two circular loops of radii `0.05` and `0.09 m`, respectively, are put such that their axes coincide and their centers are `0.12 m` apart. A charge of `10^-6 C` is spread uniformly on each loop. Find the potential difference between the centers of the loops.

Explanation

To find the potential difference between the centers of two circular loops with given parameters, we can follow these steps:

### Step 1: Understand the Problem
We have two circular loops with radii \( r_1 = 0.05 \, m \) and \( r_2 = 0.09 \, m \). The distance between their centers is \( x = 0.12 \, m \). Each loop has a uniform charge of \( Q = 10^{-6} \, C \). We need to find the potential difference between the centers of the two loops.

### Step 2: Calculate the Potential at Center C1
The potential \( V_{C1} \) at the center of the first loop (with radius \( r_1 \)) due to its own charge is given by:
\[
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