Inductors in Parallel Calculator

Parallel Inductors Formula:

\[ \frac{1}{L_{eq}} = \sum \frac{1}{L_i} \]

Equivalent Inductance (L_eq):

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1. What is the Parallel Inductors Formula?

The parallel inductors formula calculates the equivalent inductance (L_eq) when multiple inductors are connected in parallel. The reciprocal of the equivalent inductance equals the sum of the reciprocals of the individual inductances.

2. How Does the Calculator Work?

The calculator uses the parallel inductors formula:

\[ \frac{1}{L_{eq}} = \frac{1}{L_1} + \frac{1}{L_2} + \cdots + \frac{1}{L_n} \]

Where:

\( L_{eq} \) — Equivalent inductance (H)
\( L_1, L_2, \ldots, L_n \) — Individual inductances (H)

Explanation: For parallel inductors, the equivalent inductance is always less than the smallest individual inductance in the parallel combination.

3. Importance of Equivalent Inductance

Details: Calculating equivalent inductance is essential for circuit analysis and design, helping simplify complex circuits with multiple parallel inductors.

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 the individual inductance (L/2).

Q2: How does parallel inductance compare to series inductance?
A: Parallel inductors combine like resistors in series (sum of reciprocals), while series inductors add directly (sum of values).

Q3: What are typical units for inductance?
A: Henries (H), millihenries (mH = 10^-3 H), microhenries (μH = 10^-6 H).

Q4: Does mutual inductance affect parallel inductors?
A: Yes, if inductors are coupled, additional terms accounting for mutual inductance must be included in calculations.

Q5: What's the minimum possible equivalent inductance?
A: The equivalent inductance approaches zero as more inductors are added in parallel.