Question

Two inductor coils with inductance 10 mH and 20 mH are connected in series. What is the resultant inductance of the combination of the two coils?

Hint:

In series, inductances add directly; in parallel, use \( \frac{1}{L_{\text{total}}} = \frac{1}{L_1} + \frac{1}{L_2} \).

Answer 1

For inductors in series, the total inductance \( L_{\text{total}} \) is the sum of individual inductances: \[ L_{\text{total}} = L_1 + L_2. \] Given: \( L_1 = 10 \, \text{mH} \), \( L_2 = 20 \, \text{mH} \).
\[ L_{\text{total}} = 10 + 20 = 30 \, \text{mH}. \] Answer: 30 mH.