What is the inductive reactance X_L for L = 0.25 H at a frequency of 60 Hz?

What is the inductive reactance X_L for L = 0.25 H at a frequency of 60 Hz?

• A. Approximately 94.25 Ω
• B. Approximately 47.12 Ω
• C. Approximately 188.50 Ω
• D. Approximately 9.42 Ω

Answer: (A)

Inductive reactance is the opposition an inductor presents to AC current, and it grows with both frequency and inductance. It’s calculated as X_L = ωL = 2π f L. With f = 60 Hz and L = 0.25 H, compute ω = 2π × 60 ≈ 377 rad/s. Then X_L = ωL ≈ 377 × 0.25 ≈ 94.25 Ω. So the inductive reactance is about 94.25 ohms. This also shows why X_L scales with frequency and inductance: doubling either parameter doubles X_L. The other values would come from using a different L or f or omitting the 2π factor.

Inductive reactance is the opposition an inductor presents to AC current, and it grows with both frequency and inductance. It’s calculated as X_L = ωL = 2π f L.

With f = 60 Hz and L = 0.25 H, compute ω = 2π × 60 ≈ 377 rad/s. Then X_L = ωL ≈ 377 × 0.25 ≈ 94.25 Ω.

So the inductive reactance is about 94.25 ohms. This also shows why X_L scales with frequency and inductance: doubling either parameter doubles X_L. The other values would come from using a different L or f or omitting the 2π factor.