Questions: BASIC ELECTRICITY INDUCTOR WORKSHEET #3

BASIC ELECTRICITY INDUCTOR WORKSHEET #3
Transcript text: BASIC ELECTRICITY INDUCTOR WORKSHEET #3
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Solution

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Solution Steps

Step 1: Calculate the total inductance for the first circuit.

Inductors in series add like resistors in series.

\(L_T = L_1 + L_2 + L_3\) \(L_T = 20 \text{ mH} + 10 \text{ mH} + 40 \text{ mH}\) \(L_T = 70 \text{ mH}\)

Step 2: Calculate the total inductance for the second circuit.

\(L_T = L_1 + L_2 + L_3\) \(L_T = 20 \text{ mH} + 30 \text{ mH} + 25 \text{ mH}\) \(L_T = 75 \text{ mH}\)

Step 3: Calculate the total inductance for the third circuit.

Inductors in parallel add like resistors in parallel.

\(\frac{1}{L_T} = \frac{1}{L_1} + \frac{1}{L_2} + \frac{1}{L_3}\) \(\frac{1}{L_T} = \frac{1}{20 \text{ mH}} + \frac{1}{10 \text{ mH}} + \frac{1}{40 \text{ mH}}\) \(\frac{1}{L_T} = \frac{2 + 4 + 1}{40 \text{ mH}}\) \(\frac{1}{L_T} = \frac{7}{40 \text{ mH}}\) \(L_T = \frac{40}{7} \text{ mH}\) \(L_T \approx 5.71 \text{ mH}\)

Final Answer

  1. \(\boxed{L_T = 70 \text{ mH}}\)
  2. \(\boxed{L_T = 75 \text{ mH}}\)
  3. \(\boxed{L_T \approx 5.71 \text{ mH}}\)
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