1. What is Inductor Impedance?

Definition: Inductor impedance is the complex opposition that an inductor presents to alternating current (AC).

Purpose: This calculator helps determine the impedance of an inductor at a specific frequency, which is crucial for AC circuit analysis and design.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Z \) — Complex impedance (ohms)
• \( j \) — Imaginary unit (√-1)
• \( \omega \) — Angular frequency (rad/s) = \( 2\pi f \)
• \( L \) — Inductance (henrys)

Explanation: The impedance is purely imaginary and increases with both frequency and inductance.

3. Importance of Inductor Impedance

Details: Understanding inductor impedance is essential for designing filters, tuning circuits, and analyzing AC system behavior.

4. Using the Calculator

Tips: Enter the frequency in Hz and inductance in henrys. Both values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: Why is the impedance imaginary?
A: It represents the phase shift (90°) between voltage and current in an inductor.

Q2: What does the 'j' mean?
A: 'j' is the imaginary unit (engineers use j instead of i to avoid confusion with current).

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

Q4: What's the DC impedance of an inductor?
A: At DC (0 Hz), the impedance is 0 Ω (only the wire resistance remains).

Q5: How do I convert between Hz and rad/s?
A: Multiply Hz by 2π to get rad/s (ω = 2πf).