A straight wire is first bent into a circle of radius 'r' and then into a square of side 'a' each of 1 turn. If the currents flowing through them are in the ratio 2:3, find the ratio between their effective magnetic moments?

Explanation

To solve the problem, we need to find the ratio of the effective magnetic moments of a circular loop and a square loop formed from the same length of wire. We will use the formula for the magnetic moment, which is given by:

\[ M = I \times A \]

where \( M \) is the magnetic moment, \( I \) is the current, and \( A \) is the area enclosed by the loop.

### Step 1: Define the lengths and areas
1. Let the total length of the wire be \( L \).
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