For an inductor, what does the inductive reactance (XL) increase with?

For an inductor, what does the inductive reactance (XL) increase with?

• A. Frequency
• B. Resistance
• C. Capacitance
• D. Current

Answer: (A)

Inductive reactance (XL) is a measure of the opposition that an inductor presents to the flow of alternating current (AC). The formula for inductive reactance is given by \[ XL = 2\pi f L \] where \( f \) is the frequency of the AC signal and \( L \) is the inductance of the inductor. According to this relationship, it is evident that inductive reactance is directly proportional to the frequency of the AC signal. As the frequency increases, the inductive reactance also increases, resulting in greater opposition to the current flow through the inductor. This is a fundamental characteristic of inductors in AC circuits, as they store energy in a magnetic field when current passes through them. On the other hand, resistance does not directly affect inductive reactance, nor does capacitance, as they relate to different types of circuit behavior. Current, meanwhile, is the effect of the applied voltage and does not influence the inductive reactance directly; instead, it is the reactance that affects how much current can flow in response to an AC voltage at a given frequency.

Inductive reactance (XL) is a measure of the opposition that an inductor presents to the flow of alternating current (AC). The formula for inductive reactance is given by

[ XL = 2\pi f L ]

where ( f ) is the frequency of the AC signal and ( L ) is the inductance of the inductor.

According to this relationship, it is evident that inductive reactance is directly proportional to the frequency of the AC signal. As the frequency increases, the inductive reactance also increases, resulting in greater opposition to the current flow through the inductor. This is a fundamental characteristic of inductors in AC circuits, as they store energy in a magnetic field when current passes through them.

On the other hand, resistance does not directly affect inductive reactance, nor does capacitance, as they relate to different types of circuit behavior. Current, meanwhile, is the effect of the applied voltage and does not influence the inductive reactance directly; instead, it is the reactance that affects how much current can flow in response to an AC voltage at a given frequency.