Inductive Reactance

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Inductive reactance X_L equals?

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1. **Conceptual Role**: Inductive reactance ($X_L$) is the opposition offered by an inductor to the flow of alternating current.
2. **Equation**: From Ohm's law for AC, the amplitude of current $I_0 = V_0 / (\omega L)$. Thus, we define $X_L = \omega L$.
3. **Frequency Dependence**: Since $\omega = 2\pi f$, then $X_L = 2\pi f L$. Reactance increases linearly with frequency.
4. **DC Behavior**: For constant current ($f=0$), $X_L = 0$. An inductor acts as a short circuit to steady DC after initial transient.
5. **Units**: It is measured in **Ohms ($\Omega$)**.

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