Question

Which formula gives inductive reactance using frequency \[f\]?

Options

• \[X_L=2\pi fL\]

• \[X_L=2\pi L\]

• \[X_L=\frac{L}{2\pi f}\]

• \[X_L=\frac{2\pi f}{L}\]

Answer 1

Using \[\omega=2\pi f\] in \[X_L=\omega L\] gives \[X_L=2\pi fL\]. Inductive reactance therefore depends on both frequency and inductance.