Inductive reactance of a coil is proportional to inductance (L) and what other factor?

Inductive reactance is defined as the opposition that an inductor presents to alternating current (AC) due to its inductance. The formula for inductive reactance is given by the equation:

[ X_L = 2\pi f L ]

where ( X_L ) is the inductive reactance, ( f ) is the frequency of the supply voltage, and ( L ) is the inductance.

In this relationship, the inductive reactance is directly proportional to both the inductance ( L ) of the coil and the frequency ( f ) of the AC supply. This means that as the frequency increases, the inductive reactance also increases, leading to a greater opposition to the AC current. Conversely, if the frequency decreases, the inductive reactance will reduce.

Other factors listed, such as resistance and voltage, do not have a direct relationship with inductive reactance in this specific context. The power factor, which relates to the phase difference between voltage and current in an AC circuit, doesn't directly affect the calculation of inductive reactance either. Therefore, the correct relationship identifying that inductive reactance is proportional to frequency emphasizes the critical role that the frequency of the supply voltage plays in affecting the