What is the inductive reactance XL for an inductor of 150 mH at 60 Hz?

What is the inductive reactance XL for an inductor of 150 mH at 60 Hz?

• A. Approximately 9.4 Ω
• B. Approximately 0.56 Ω
• C. Approximately 56.6 Ω
• D. Approximately 188.5 Ω

Answer: (C)

Inductive reactance grows with both inductance and frequency, described by X_L = 2π f L. Plugging in L = 0.150 H and f = 60 Hz gives X_L = 2π × 60 × 0.150 = 18π ≈ 56.548 Ω, so about 56.6 Ω. This is the opposition an inductor presents to AC at that frequency, measured in ohms. The value around 56.6 Ω is the one that fits the calculation, while the others would come from different frequencies or inductance.

Inductive reactance grows with both inductance and frequency, described by X_L = 2π f L. Plugging in L = 0.150 H and f = 60 Hz gives X_L = 2π × 60 × 0.150 = 18π ≈ 56.548 Ω, so about 56.6 Ω. This is the opposition an inductor presents to AC at that frequency, measured in ohms. The value around 56.6 Ω is the one that fits the calculation, while the others would come from different frequencies or inductance.