1. What is Inductor Impedance?

Inductor impedance (Z) is the opposition that an inductor presents to alternating current. It consists of a purely imaginary component that varies with frequency, representing the inductor's reactive nature.

2. How Does the Calculator Work?

The calculator uses the inductor impedance formula:

Where:

• \( Z \) — Impedance (Ω)
• \( j \) — Imaginary unit (√-1)
• \( \omega \) — Angular frequency (rad/s)
• \( L \) — Inductance (H)

Explanation: The impedance of an ideal inductor is purely imaginary and directly proportional to both the angular frequency and the inductance value.

3. Importance of Impedance Calculation

Details: Calculating inductor impedance is essential for designing and analyzing AC circuits, filters, oscillators, and power supply systems where inductive components are used.

4. Using the Calculator

Tips: Enter angular frequency in rad/s and inductance in henries. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between impedance and resistance?
A: Resistance is the opposition to DC current and is a real number, while impedance is the opposition to AC current and can have both real and imaginary components.

Q2: Why is inductor impedance imaginary?
A: The imaginary component represents the phase shift between voltage and current in an inductor, where current lags voltage by 90 degrees.

Q3: How does frequency affect inductor impedance?
A: Impedance increases linearly with frequency - higher frequency means greater opposition to current flow through the inductor.

Q4: What are typical applications of inductors?
A: Inductors are used in filters, transformers, chokes, tuned circuits, and energy storage applications in various electronic systems.

Q5: Does this formula work for real inductors?
A: This formula is for ideal inductors. Real inductors have some resistance and parasitic capacitance that affect their impedance at different frequencies.