A conducting circular loop is placed is a uniform magnetic field B =0.20 T with its plane perpendicular to the field . Somehow, the radius of the loop starts shrinking at a constant rate of `1.0 mm s^(-1)`. Find the induced emf in the loop at an instant when the radius is 2 cm.

Explanation

To solve the problem of finding the induced emf in a conducting circular loop placed in a uniform magnetic field while its radius is shrinking, we can follow these steps:

### Step 1: Understand the Given Information
- Magnetic field \( B = 0.20 \, \text{T} \)
- Rate of change of radius \( \frac{dr}{dt} = -1.0 \, \text{mm/s} = -0.001 \, \text{m/s} \) (negative because the radius is shrinking)
- Radius at the instant of interest \( r = 2 \, \text{cm} = 0.02 \, \text{m} \)

### Step 2: Calculate the Area of the Loop
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