Question

An inductor connects to an AC circuit. If the frequency of the AC oscillations decreases, does the inductance increase, decrease, or remain constant?

Answer 1

Answer:

The inductance remains constant

Explanation:

The inductance value remains constant because it is a intrinsic property of an inductor. Its value depends on physical characteristics and dimensions like length, number of turns, etc.

What changes is the impedance of the inductance. Now, the impedance does changes with the frequency of the AC signal. The relations is as follows:

Z = jωL, where Z is the impedance, j is the imaginary unit, ω is the angular frequency, and L is the inductance.

In terms of frequency ω=2π·f, where f is the frequency of the signal.

So, the impedance in terms of f is:

Z = j·2·π·f·L

If f decreases, the value of the Z decreases too, because if f has a lower value and the other terms remain constant, the value of Z will be lower.

So, the inductance remains constant.