Doubling the number of turns on a coil will have what effect on inductance?

Doubling the number of turns on a coil significantly affects its inductance due to the relationship between turns and magnetic field strength. The inductance of a coil is directly proportional to the square of the number of turns. When you increase the number of turns in the coil, you essentially increase the amount of magnetic flux linkage; thus, the inductance increases.

If you start with a coil of n turns and then double that to 2n turns, the new inductance can be expressed as:

L(new) = k * (2n)²

Here, k is a constant that represents the coil's geometric and material properties. Squaring the number of turns leads to:

L(new) = k * 4n²

This demonstrates that the inductance is increased by a factor of four compared to the original inductance. So, the correct response indicates that with doubling the number of turns on the coil, the inductance increases by a factor of four, aligning with fundamental principles of electromagnetism and inductive behavior.