Ham Amateur Radio Technician Practice Exam

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

  1. 10 millihenries

  2. 3.3 millihenries

  3. 6.67 millihenries

  4. 30 millihenries

The correct answer is: 3.3 millihenries

When inductors are connected in parallel, the total inductance can be calculated using the formula for parallel inductors, which is similar to that used for resistors. The formula states that the reciprocal of the total inductance (L_total) is equal to the sum of the reciprocals of the individual inductances. For three inductors of equal inductance connected in parallel, the formula simplifies. In this case, each inductor has an inductance of 10 millihenries. The calculation is as follows: 1. Calculate the reciprocal of the inductance of each inductor: 1/L = 1/(10 mH) + 1/(10 mH) + 1/(10 mH) 2. Since all inductors have the same value, you can express this as: 1/L_total = 3 * (1/10 mH) = 3/10 mH 3. Taking the reciprocal to find L_total: L_total = 10 mH / 3 = 3.33 mH or approximately 3.3 millihenries. Thus, the total inductance of three 10-millihenry inductors connected in parallel is approximately

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