How does the inductance of a coil change if the number of turns increases?

When the number of turns in a coil increases, the inductance of the coil also increases. This is due to the fundamental relationship between inductance, the number of turns, and the magnetic flux linkage. Inductance is a property that quantifies the coil's ability to store energy in a magnetic field when an electric current passes through it.

As the number of turns increases, the magnetic field generated by the coil becomes stronger and more concentrated, allowing for greater amounts of magnetic flux to link with the coil itself. This increased linkage enhances the coil's ability to store energy and opposes changes in the current flowing through it, which in turn increases the coil's inductance.

Mathematically, the inductance (L) of a coil can be expressed as proportional to the square of the number of turns (N):

[ L \propto N^2 ]

This relationship demonstrates that if the turns are doubled, the inductance will increase by a factor of four, highlighting a significant dependence on the number of turns. Thus, the correct understanding of the inductance in relation to the number of turns leads to the conclusion that inductance increases with more turns in the coil.