If 50.0 cm of copper wire (diameter= 3.00 mm) is formed into a circular loop and placed perpendicular to a uniform magnetic field that is increasing at the constant rate of 30.0 mT/s, at what rate is thermal energy generated in the loop?

Explanation

To solve the problem step by step, we will follow these steps:

### Step 1: Calculate the Area of the Circular Loop
The area \( A \) of a circular loop can be calculated using the formula:
\[ A = \pi r^2 \]
where \( r \) is the radius of the loop. Given that the diameter \( D \) of the wire is 3 mm, the radius \( r \) is:
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