A wire in the form of a circular loop of radius `10 cm` lies in a plane normal to a magnetic field of `100 T`. If this wire is pulled to take a square shape in the same plane in `0.1 s`, find the average induced emf in the loop.

Explanation

To solve the problem, we need to find the average induced electromotive force (emf) when a circular loop of wire is transformed into a square loop while it is subjected to a magnetic field. Here’s a step-by-step breakdown of the solution:

### Step 1: Calculate the initial area of the circular loop
The area \( A \) of a circular loop is given by the formula:
\[ A = \pi R^2 \]
Where \( R \) is the radius of the circular loop. Given that \( R = 10 \, \text{cm} = 0.1 \, \text{m} \):
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