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