Inductive Reactance formula |
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\( X_l \;=\; 2 \cdot \pi \cdot f \cdot L \) (Inductive Reactance) \( f \;=\; \dfrac{ X_l }{ 2 \cdot \pi \cdot L }\) \( L \;=\; \dfrac{ X_l }{ 2 \cdot \pi \cdot f }\) |
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| Symbol | English | Metric |
| \( X_l \) = Inductive Reactance | \(H\) | \(H\) |
| \( \pi \) = Pi | \(3.141 592 653 ...\) | \(3.141 592 653 ...\) |
| \( f \) = Frequency | \(Hz\) | \(Hz\) |
| \( L \) = Inductance | \(H\) | \(H\) |
Inductive reactance, abbreviated as \(X_l\), is the opposition that an inductor presents to the flow of alternating current (AC) due to its ability to store energy in a magnetic field. Unlike resistance, which dissipates energy, inductive reactance results from the property of inductance, where a changing current induces a voltage that opposes the change according to Lenz’s law. It depends on both the frequency of the alternating signal and the inductance of the coil or inductor. This relationship shows that at higher frequencies the opposition to current increases, making it harder for current to flow through the inductor, while at lower frequencies the opposition decreases, allowing current to pass more easily. Inductive reactance is a fundamental concept in AC circuit analysis and is widely used in transformers, filters, tuning circuits, and power systems.
