Two conducting circular loops of radii `R_1 and R_2` are placed in the same plane with their centres coincidingt. Find the mutual inductane between them assuming `R_2ltltR_1`.

Explanation

To find the mutual inductance between two conducting circular loops of radii \( R_1 \) and \( R_2 \) (where \( R_2 \ll R_1 \)), we can follow these steps:

### Step 1: Understand the Configuration
We have two circular loops placed in the same plane with their centers coinciding. The outer loop has a radius \( R_1 \) and the inner loop has a much smaller radius \( R_2 \).

### Step 2: Define the Current in the Primary Loop
Assume there is a current \( I \) flowing through the outer loop (the primary loop). This current will create a magnetic field that will link with the inner loop (the secondary loop).

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