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What is the inductance of three 10 millihenry inductors connected in parallel?

  1. 0.30 Henrys

  2. 3.3 Henrys

  3. 3.3 millihenrys

  4. 30 millihenrys

The correct answer is: 3.3 millihenrys

To determine the inductance of inductors connected in parallel, you need to apply the formula for combining inductors in parallel. For n inductors with the same inductance value (L), the total inductance (L_total) can be calculated using the formula: \[ \frac{1}{L_{\text{total}}} = \frac{1}{L_1} + \frac{1}{L_2} + \frac{1}{L_3} \] Given that all three inductors each have an inductance value of 10 millihenries (mH), the formula simplifies to: \[ \frac{1}{L_{\text{total}}} = \frac{1}{10 \, \text{mH}} + \frac{1}{10 \, \text{mH}} + \frac{1}{10 \, \text{mH}} \] Calculating this gives: \[ \frac{1}{L_{\text{total}}} = \frac{3}{10 \, \text{mH}} \] Thus: \[ L_{\text{total}} = \frac{10 \, \text{mH}}{