Can you use Ampere's law of find the magnetic field at the centre of a ring of radius R and carrying current l?

Explanation

To find the magnetic field at the center of a ring of radius \( R \) carrying a current \( I \), we will analyze the situation step by step.

### Step-by-Step Solution:

1. **Understanding Ampere's Law**:
Ampere's Law states that the line integral of the magnetic field \( \mathbf{B} \) around a closed loop is equal to \( \mu_0 \) (the permeability of free space) times the total current \( I \) enclosed by the loop:
\[
\oint \mathbf{B} \cdot d\mathbf{l} = \mu_0 I_{\text{enc}}
...