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Inductive Reactance Formula Calculator

Inductive Reactance Formula:

\[ X_L = \omega L \]

rad/s
H

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1. What is Inductive Reactance?

Inductive reactance (XL) is the opposition that an inductor presents to alternating current due to its inductance. It increases with frequency and is measured in ohms (Ω).

2. How Does the Calculator Work?

The calculator uses the inductive reactance formula:

\[ X_L = \omega L \]

Where:

Explanation: The reactance is directly proportional to both the angular frequency of the AC signal and the inductance of the coil.

3. Importance of Inductive Reactance

Details: Understanding inductive reactance is crucial for designing AC circuits, filters, and inductive components. It determines how inductors behave in AC circuits and affects impedance calculations.

4. Using the Calculator

Tips: Enter angular frequency in radians per second and inductance in henries. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How is angular frequency related to regular frequency?
A: Angular frequency (ω) = 2π × frequency (f). The calculator uses angular frequency in rad/s.

Q2: What happens to reactance as frequency increases?
A: Inductive reactance increases linearly with frequency (XL ∝ f).

Q3: What's the difference between reactance and resistance?
A: Reactance is frequency-dependent opposition to AC, while resistance is opposition to both AC and DC that doesn't depend on frequency.

Q4: Can this be used for DC circuits?
A: No, in DC circuits (ω=0), the reactance is zero and inductors act as short circuits in steady state.

Q5: How does this relate to impedance?
A: For a pure inductor, the impedance (Z) equals the reactance (XL). For complex circuits, impedance combines resistance and reactance.

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