Inductor Impedance Calculator Formula

Inductive Reactance Formula:

\[ X_L = 2 \times \pi \times f \times L \]

Inductive Reactance (X_L):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Inductive Reactance?

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

2. How Does the Calculator Work?

The calculator uses the inductive reactance formula:

\[ X_L = 2 \times \pi \times f \times L \]

Where:

\( X_L \) — Inductive reactance (ohms)
\( \pi \) — Mathematical constant (approximately 3.14159)
\( f \) — Frequency (Hz)
\( L \) — Inductance (Henry)

Explanation: The formula shows that inductive reactance is directly proportional to both frequency and inductance. Higher frequencies or larger inductances result in greater opposition to AC current.

3. Importance of Inductive Reactance Calculation

Details: Calculating inductive reactance is essential for designing and analyzing AC circuits, filters, transformers, and various electronic applications where inductors are used.

4. Using the Calculator

Tips: Enter frequency in Hertz (Hz) and inductance in Henry (H). Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between inductance and inductive reactance?
A: Inductance (L) is a property of the inductor itself, measured in Henry, while inductive reactance (X_L) is the opposition to AC current that depends on both inductance and frequency.

Q2: How does frequency affect inductive reactance?
A: Inductive reactance increases linearly with frequency. Doubling the frequency doubles the reactance.

Q3: What happens to inductive reactance in DC circuits?
A: In DC circuits (frequency = 0), inductive reactance is zero, and the inductor acts as a short circuit to steady DC current.

Q4: Can inductive reactance be negative?
A: No, inductive reactance is always a positive value since frequency and inductance are always positive quantities.

Q5: How is inductive reactance used in filter design?
A: Inductors are used in low-pass and high-pass filters where their frequency-dependent reactance allows certain frequencies to pass while blocking others.