The magnetic field inside a solenoid is directly proportional to both the current applied and the number of turns per unit of length. It does not depend on the diameter of the solenoid, and the intensity of the field does not vary depending on the position inside the solenoid. In practical examples, such as close but loose field coupling, a larger diameter coil with the same number of turns will produce a greater tension because it has a larger area and will pass more current through that larger surface. Tight coils with many windings are used when a very localized magnetic field needs to be captured, such as the field of a point source or the field that passes through the yoke of a transformer.
However, if you were to try to draw current from a coil with a loose wrap, due to the increase in leakage inductance, your terminal voltage would be significantly lower than that of a coil that was wrapped tightly around the core. In cases where circular windings and spatially constant magnetic fields are present, the tension produced increases linearly with the diameter of the coil.The strength of a magnetic field is an important factor in many applications, from transformers to motors. Understanding how coil diameter affects magnetic field strength can help engineers design more efficient and effective systems. By using larger coils with more turns, engineers can create stronger magnetic fields that can be used for various applications.
In conclusion, it is important to note that while coil diameter does not affect the intensity of the magnetic field inside a solenoid, it does affect the tension produced by a coil. In cases where circular windings and spatially constant magnetic fields are present, increasing the diameter of the coil will result in an increase in tension and thus an increase in magnetic field strength.