Here's why:
* Inductance and Turns: Inductance is directly proportional to the square of the number of turns in a coil. This is because more turns create a stronger magnetic field, which in turn increases the inductance.
* Mathematical Relationship: The formula for inductance of a solenoid is:
L = (μ * N² * A) / l
Where:
* L = Inductance
* μ = Permeability of the core material
* N = Number of turns
* A = Cross-sectional area of the coil
* l = Length of the coil
* Doubling the Turns: If you double the number of turns (N), you are essentially squaring the value of N in the formula. Therefore, the inductance (L) will increase by a factor of 2² = 4.
In summary: Doubling the number of turns in an inductor results in a fourfold increase in its inductance.
