1. What is Parallel Impedance?

Parallel impedance refers to the total impedance of multiple impedances connected in parallel. The reciprocal of the total impedance equals the sum of the reciprocals of the individual impedances.

2. How Does the Calculator Work?

The calculator uses the parallel impedance formula:

Where:

• \( Z \) — Total parallel impedance (ohms, complex)
• \( Z_i \) — Individual impedances in parallel (ohms, complex)

Explanation: For complex impedances, the calculation involves both real and imaginary components following complex number arithmetic rules.

3. Importance of Parallel Impedance Calculation

Details: Calculating parallel impedance is essential in AC circuit analysis, filter design, impedance matching, and antenna systems where multiple components work together.

4. Using the Calculator

Tips: Enter complex impedances in the format R+Xj or R-Xj (e.g., 10+5j, 20-3j), one per line. The calculator will compute the equivalent parallel impedance.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between resistance and impedance?
A: Resistance is for DC circuits, while impedance includes both resistance and reactance for AC circuits, represented as complex numbers.

Q2: Can I use this for pure resistive circuits?
A: Yes, for pure resistors, simply enter the resistance values with zero imaginary part (e.g., 100+0j).

Q3: How does parallel impedance differ from series impedance?
A: Series impedances add directly (Z_total = Z1 + Z2 + ...), while parallel impedances follow the reciprocal formula.

Q4: What if I have capacitors or inductors in parallel?
A: Enter their complex impedances (Z_L = jωL for inductors, Z_C = 1/(jωC) for capacitors) and the calculator will handle them correctly.

Q5: Why is the result a complex number?
A: Impedance has both magnitude and phase components, represented as real and imaginary parts in complex number notation.