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Calculate Total Impedance Parallel Circuit

Parallel Impedance Formula:

\[ Z_{eq} = \frac{1}{\frac{1}{Z_1} + \frac{1}{Z_2} + \cdots + \frac{1}{Z_n}} \]

ohms

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1. What is Parallel Impedance?

Parallel impedance refers to the total impedance of multiple components connected in parallel in an electrical circuit. The equivalent impedance is always less than any of the individual impedances.

2. How Does the Calculator Work?

The calculator uses the parallel impedance formula:

\[ Z_{eq} = \frac{1}{\frac{1}{Z_1} + \frac{1}{Z_2} + \cdots + \frac{1}{Z_n}} \]

Where:

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

3. Importance of Parallel Impedance Calculation

Details: Calculating parallel impedance is essential for circuit analysis, design, and troubleshooting in AC and DC circuits. It helps determine current distribution and voltage drops.

4. Using the Calculator

Tips: Enter impedances separated by commas (e.g., "100, 200, 300"). All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What happens if one impedance is zero?
A: The calculation becomes invalid as division by zero occurs. In real circuits, zero impedance would create a short circuit.

Q2: Does this work for complex impedances?
A: Yes, the same formula applies to complex impedances, though the calculation becomes more involved.

Q3: How does this compare to parallel resistance?
A: The formula is identical in form, but impedance includes both resistance and reactance components.

Q4: What's the difference between series and parallel impedance?
A: Series impedances add directly (Ztotal = Z1 + Z2 + ...), while parallel impedances add reciprocally.

Q5: Can I mix different units?
A: No, all impedances must be in the same units (typically ohms) for the calculation to be valid.

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