1. What is Equivalent Impedance?

Equivalent impedance (Z_eq) is the total impedance offered by multiple components connected in parallel. It represents the single impedance that would draw the same current as the parallel combination when the same voltage is applied.

2. How Does the Calculator Work?

The calculator uses the parallel impedance formula:

Where:

• \( Z_{eq} \) — Equivalent impedance (ohms)
• \( Z_1, Z_2, \ldots, Z_n \) — Individual impedances in parallel (ohms)

Explanation: The reciprocal of the equivalent impedance equals the sum of the reciprocals of each individual impedance in the parallel circuit.

3. Importance of Impedance Calculation

Details: Calculating equivalent impedance is essential for analyzing AC circuits, designing filters, matching impedances in transmission lines, and predicting circuit behavior under different frequencies.

4. Using the Calculator

Tips: Enter impedance values separated by commas (e.g., "100, 200, 300"). All values must be positive numbers. The calculator will compute the equivalent impedance for all components in parallel.

5. Frequently Asked Questions (FAQ)

Q1: Does this work for both resistors and complex impedances?
A: Yes, the same formula applies for both resistive and complex impedances, though complex numbers require special handling of real and imaginary parts.

Q2: How does this differ from series impedance calculation?
A: For series components, impedances simply add together (Z_eq = Z₁ + Z₂ + ... + Z_n).

Q3: What if one impedance is zero?
A: If any impedance is zero (short circuit), the equivalent impedance becomes zero as it dominates the parallel combination.

Q4: Can I use this for DC circuits?
A: For purely resistive DC circuits, you can use resistance values instead of impedance (R_eq).

Q5: What's the equivalent impedance of two equal impedances in parallel?
A: Two equal impedances Z in parallel give Z_eq = Z/2.