A circular coil having ‘n’ turns produces a field ______________ times large as that produced by a single turn

Key Points

• A circular coil having 'n' turns produces a field n times larger than that produced by a single turn.
• This is because the magnetic field produced by each turn of the coil adds up linearly when the turns are in series.
• Therefore, if a single turn produces a magnetic field of strength B, then n turns will produce a magnetic field of strength nB.
• This relationship is crucial in applications where stronger magnetic fields are required, such as in electromagnets and inductors.

Additional Information

• The strength of the magnetic field in a coil is also influenced by factors such as the current flowing through the coil and the core material used.
• Using a ferromagnetic core can significantly increase the magnetic field strength compared to an air core.
• The formula for the magnetic field strength at the center of a circular coil is given by B = (μ₀ * n * I) / (2 * R), where μ₀ is the permeability of free space, n is the number of turns, I is the current, and R is the radius of the coil.