A coil with an inductance of 0.2 H is connected to a 120 V, 60 Hz supply. What is the inductive reactance?

A coil with an inductance of 0.2 H is connected to a 120 V, 60 Hz supply. What is the inductive reactance?

• A. 75.4 Ω
• B. 1.59 A
• C. 100 Ω
• D. 150 Ω

Answer: (A)

To find the inductive reactance of a coil connected to an AC supply, you can use the formula: \[ X_L = 2 \pi f L \] where \( X_L \) is the inductive reactance in ohms (Ω), \( f \) is the frequency in hertz (Hz), and \( L \) is the inductance in henries (H). In this case, you’re given the following values: - Inductance \( L = 0.2 \) H - Frequency \( f = 60 \) Hz Now, plugging these values into the formula: \[ X_L = 2 \pi (60 \, \text{Hz}) (0.2 \, \text{H}) \] Calculating this step-by-step: 1. Calculate the product of the frequency and inductance: \( 60 \times 0.2 = 12 \) 2. Multiply by \( 2\pi \) (approximately 6.283): \( 12 \times 2\pi \approx 12 \times 6.283 \approx 75.4 \, \text{Ω} \) Therefore, the inductive reactance

To find the inductive reactance of a coil connected to an AC supply, you can use the formula:

[ X_L = 2 \pi f L ]

where ( X_L ) is the inductive reactance in ohms (Ω), ( f ) is the frequency in hertz (Hz), and ( L ) is the inductance in henries (H).

In this case, you’re given the following values:

• Inductance ( L = 0.2 ) H

• Frequency ( f = 60 ) Hz

Now, plugging these values into the formula:

[ X_L = 2 \pi (60 , \text{Hz}) (0.2 , \text{H}) ]

Calculating this step-by-step:

1. Calculate the product of the frequency and inductance:

( 60 \times 0.2 = 12 )

2. Multiply by ( 2\pi ) (approximately 6.283):

( 12 \times 2\pi \approx 12 \times 6.283 \approx 75.4 , \text{Ω} )

Therefore, the inductive reactance