Difficulty: Easy
Correct Answer: 5.5 mH
Explanation:
Introduction / Context:
For uncoupled inductors, series connection leads to simple arithmetic addition of inductances. This is analogous to series resistors and is frequently used to realize non-standard inductance values by combining available parts.
Given Data / Assumptions:
Concept / Approach:
Use L_total(series) = L1 + L2 + L3. No conversions are needed since all are in mH. Ensure you do not mistakenly compute a parallel equivalent.
Step-by-Step Solution:
Verification / Alternative check:
If mutual coupling were present with tight coupling (not given here), results could change due to induced voltages. Since the problem omits coupling, pure addition applies—consistent with standard textbook treatment.
Why Other Options Are Wrong:
Common Pitfalls:
Final Answer:
5.5 mH
Discussion & Comments