Calculate the magnetic field due to a circular coil of 500 turns and of mean diameter 0.1m, carrying a current of 14A (i) at a point on the axis distance 0.12 m from the centre of the coil (ii) at the centre of the coil.

Explanation

To calculate the magnetic field due to a circular coil of 500 turns, a mean diameter of 0.1 m, and carrying a current of 14 A, we will find the magnetic field at two points: (i) at a point on the axis, 0.12 m from the center of the coil, and (ii) at the center of the coil.

### Given Data:
- Number of turns, \( n = 500 \)
- Mean diameter, \( D = 0.1 \, \text{m} \)
- Current, \( I = 14 \, \text{A} \)
- Distance from the center of the coil, \( x = 0.12 \, \text{m} \)

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