1. What is a Capacitor Impedance Calculator?

Definition: This calculator determines the impedance of a capacitor at a given frequency.

Purpose: It helps electronics engineers and students analyze AC circuits containing capacitors.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Z \) — Capacitor impedance (ohms)
• \( \omega \) — Angular frequency (rad/s) = \( 2\pi f \)
• \( C \) — Capacitance (farads)
• \( j \) — Imaginary unit

Explanation: The calculator computes the magnitude of the complex impedance, showing how much a capacitor resists AC current at a specific frequency.

3. Importance of Capacitor Impedance

Details: Understanding capacitor impedance is crucial for designing filters, timing circuits, and AC coupling applications.

4. Using the Calculator

Tips: Enter the frequency in Hz and capacitance in farads (default 1μF = 0.000001F). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why does impedance decrease with frequency?
A: Capacitors conduct better at higher frequencies, so their opposition to current (impedance) decreases.

Q2: What's the phase relationship in capacitor impedance?
A: Current leads voltage by 90° in an ideal capacitor.

Q3: How do I convert between Hz and rad/s?
A: Multiply Hz by \( 2\pi \) to get rad/s (angular frequency).

Q4: What's a typical capacitor value?
A: Common values range from pF (10⁻¹²F) to mF (10⁻³F).

Q5: Does this work for DC circuits?
A: At DC (0Hz), capacitor impedance is theoretically infinite (open circuit).