Inductive Reactance formula?

Inductive Reactance formula?

• A. Inductive Reactance
• B. XC=1/(2πfC1)
• C. Frequency = Hz
• D. XL=2πfL

Answer: (D)

Inductive reactance is the opposition an inductor presents to alternating current, and it grows with frequency. The correct formula is X_L = 2π f L, where f is the frequency in hertz and L is the inductance in henries, giving X_L in ohms. This comes from analyzing an inductor in an AC circuit (V = L di/dt) and shows that the impedance magnitude for an inductor is ωL, with ω = 2πf. Doubling the frequency or doubling the inductance doubles the inductive reactance. The other options aren’t the inductive reactance formula: one is just naming the type of reactance, another gives the capacitive reactance X_C = 1/(2π f C) (which involves capacitance, not inductance), and the last is simply the unit for frequency.

Inductive reactance is the opposition an inductor presents to alternating current, and it grows with frequency. The correct formula is X_L = 2π f L, where f is the frequency in hertz and L is the inductance in henries, giving X_L in ohms. This comes from analyzing an inductor in an AC circuit (V = L di/dt) and shows that the impedance magnitude for an inductor is ωL, with ω = 2πf. Doubling the frequency or doubling the inductance doubles the inductive reactance.

The other options aren’t the inductive reactance formula: one is just naming the type of reactance, another gives the capacitive reactance X_C = 1/(2π f C) (which involves capacitance, not inductance), and the last is simply the unit for frequency.