Introduction:
When a wire in the form of a circular loop carrying a current is present, it produces a magnetic field at the center of the loop. This magnetic field can be calculated using Ampere's Law. Now, if the same wire is looped into a coil with multiple turns and carries the same current, the magnetic induction at the center of the coil can be determined.

Explanation:

1. Magnetic Field in a Circular Loop:
When a wire is bent into a circular loop and carries a current, it produces a magnetic field at the center of the loop. The magnitude of this magnetic field can be calculated using Ampere's Law. Ampere's Law states that the line integral of the magnetic field around a closed loop is equal to the product of the current enclosed by the loop and the permeability of free space.

2. Magnetic Induction in a Coil:
When the same wire is looped into a coil with multiple turns and carries the same current, the magnetic induction at the center of the coil can be determined. The magnetic induction, also known as the magnetic field strength or magnetic flux density, is the amount of magnetic field passing through a given area.

3. Relationship between Magnetic Field and Number of Turns:
The magnetic field produced by a single turn in the wire loop is given by B = μ₀ * I / (2 * r), where B is the magnetic field, μ₀ is the permeability of free space, I is the current, and r is the radius of the loop.

When the wire is looped into a coil with multiple turns, the total magnetic field at the center is the sum of the magnetic fields produced by each individual turn. Since the current is the same in each turn, the magnetic field at the center of the coil can be calculated by multiplying the magnetic field of a single turn by the number of turns. Therefore, the magnetic induction at the center of the coil is given by B' = N * B, where B' is the magnetic induction, N is the number of turns, and B is the magnetic field produced by a single turn.

Conclusion:
In conclusion, when a wire in the form of a circular loop carrying a current is looped into a coil with multiple turns and carries the same current, the magnetic induction at the center of the coil is obtained by multiplying the magnetic field produced by a single turn by the number of turns. The magnetic induction is directly proportional to the number of turns in the coil.

A wire in the form of a circular loop of One Turn carrying a current produces magnetic induction B at centre if the same wire is looped into a coil of photons and carries the same current the new value of magnetic induction at centre is