A solenoid has a supply of 60 Hz at 110 V and an inductance of 0.6 H. What is the inductive resistance?

To find the inductive resistance, also known as inductive reactance, of the solenoid, we can use the formula for inductive reactance, which is given by:

[ X_L = 2\pi f L ]

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

In this case, we have:

• Frequency ( f = 60 ) Hz

• Inductance ( L = 0.6 ) H

Now, substituting these values into the formula:

1. Calculate ( 2\pi f ):

( 2\pi \times 60 \approx 376.99 ) radians per second (this is the angular frequency).

2. Now multiply by the inductance:

( X_L = 376.99 \times 0.6 \approx 226.08 ) ohms.

This calculation reveals the inductive resistance, which is the opposition that an inductor presents to the current in an AC circuit due to its inductance. The calculated value matches the answer selected, which indicates that the inductive react