Question
What is the inductance of three 10-millihenry inductors connected in parallel?
Answer Options
- A) 0.30 henries
- B) 3.3 henries
- C) 3.3 millihenries
- D) 30 millihenries
Correct Answer: C
Explanation
For inductors connected in parallel, the total inductance (L_T) is calculated using the same reciprocal formula as resistors in parallel: 1/L_T = 1/L_1 + 1/L_2 + 1/L_3.
Since all three inductors are equal (L_1 = L_2 = L_3 = 10 \text{ mH}), the formula simplifies to 1/L_T = 3/10 \text{ mH}. Therefore, L_T = 10 \text{ mH} / 3 \approx 3.33 \text{ mH}. The total inductance is 3.3 \text{ millihenries}.
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