In a 60 Hz circuit with a 1.3 mH inductor, what is the inductive reactance in ohms after conversion?

To determine the inductive reactance of a circuit, you use the formula:

[ X_L = 2 \pi f L ]

where:

• ( X_L ) is the inductive reactance in ohms,

• ( f ) is the frequency in hertz (Hz),

• ( L ) is the inductance in henries (H).

In this case, we are working with a frequency of 60 Hz and an inductance of 1.3 mH (which is equal to 0.0013 H). Plugging in the values:

1. First, convert the inductance from millihenries to henries:

[ L = 1.3 , \text{mH} = 1.3 \times 10^{-3} , \text{H} ]

2. Substitute the values into the formula:

[ X_L = 2 \pi (60)(1.3 \times 10^{-3}) ]

3. Calculate:

[ X_L = 2 \pi (60) (0.0013) ]

[ X_L = 2 \times 3.14159 \times