Introduction:
When an electric current flows through a circular coil, it creates a magnetic field around the coil. The strength of the magnetic field is not uniform throughout the coil. Instead, it varies at different points. In this response, we will discuss where the strength of the magnetic field is maximum in a circular coil and explain the reasons behind it.

Theoretical Explanation:
The strength of the magnetic field in a circular coil depends on various factors such as the number of turns in the coil, the current flowing through it, and the radius of the coil. However, the maximum strength of the magnetic field can be observed at the center of the circular coil.

Reasons:
The maximum strength of the magnetic field in a circular coil can be explained by the following reasons:

1. Symmetry:
The circular coil possesses a high degree of symmetry. As a result, the magnetic field lines generated by each turn of the coil add up in the center, resulting in a stronger magnetic field.

2. Geometrical Considerations:
The magnetic field strength is inversely proportional to the distance from the source. Since the center of the coil is equidistant from all the turns, the magnetic field lines from each turn are equidistant from the center. Consequently, the magnetic field lines add up constructively, leading to a maximum strength at the center.

3. Direction of Magnetic Field:
The direction of the magnetic field due to each turn of the coil is perpendicular to the plane of the coil. In the case of a circular coil, the magnetic field lines at the center are parallel to each other and perpendicular to the plane of the coil. This alignment results in an intensified magnetic field at the center.

4. Magnetic Field Lines:
The magnetic field lines form concentric circles around the current-carrying circular coil. At the center, all these concentric circles overlap, leading to an increased density of magnetic field lines and, consequently, a stronger magnetic field.

Conclusion:
In conclusion, the strength of the magnetic field is maximum at the center of a circular coil due to its symmetry, geometrical considerations, direction of magnetic field lines, and the overlapping of magnetic field lines. Understanding these factors helps in comprehending the behavior of magnetic fields in circular coils and their applications in various devices such as electromagnets and transformers.

The strength of magnetic field maximum in a circular coil at the centre...