Inductors in Parallel Calculator

Parallel Inductors Formula:

\[ L_{eq} = \frac{1}{\sum_{i=1}^{n}\frac{1}{L_i}} \]

Equivalent Inductance (L_eq):

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1. What is Parallel Inductance?

When inductors are connected in parallel, their combined inductance is less than any of the individual inductances. The equivalent inductance (L_eq) is calculated using the reciprocal formula.

2. How Does the Calculator Work?

The calculator uses the parallel inductance formula:

\[ L_{eq} = \frac{1}{\sum_{i=1}^{n}\frac{1}{L_i}} \]

Where:

\( L_{eq} \) — Equivalent parallel inductance
\( L_i \) — Individual inductor values
\( n \) — Number of parallel inductors

Explanation: The reciprocal of the equivalent inductance equals the sum of the reciprocals of the individual inductances.

3. Importance of Parallel Inductance Calculation

Details: Calculating equivalent parallel inductance is essential for circuit design, analysis, and troubleshooting in electronics.

4. Using the Calculator

Tips: Enter inductor values in henries (H), separated by commas. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What happens when two identical inductors are in parallel?
A: The equivalent inductance is half of one inductor's value (L/2).

Q2: Does mutual inductance affect parallel calculations?
A: This calculator assumes no mutual inductance. With mutual inductance, calculations become more complex.

Q3: What's the difference between series and parallel inductors?
A: Series inductors add directly (L_total = L1 + L2 + ...), while parallel inductors add reciprocally.

Q4: Can I mix different inductance values in parallel?
A: Yes, the formula works for any combination of inductance values in parallel.

Q5: What units should I use?
A: The calculator uses henries (H), but the formula works with any consistent unit (mH, μH, etc.).