Answer Key: Inductance Exercise 5

1. Suppose three 40.0-µH inductors are connected in series, and there is no interaction, or mutual inductance, among them. What is the total inductance?
answer: 120 μH

2. Imagine three inductors, with no mutual inductance, with values of 20.0 mH, 55.0 µH, and 400 nH. What is the total inductance, in millihenrys, of these components if they are connected in series.
answer: 20.1 mH

3. Suppose there are three inductors, each with a value of 40 µH, connected in parallel with no mutual inductance. What is the net inductance of the combination?
answer: 13.333 μH

4. Imagine four inductors in parallel, with no mutual inductance and values of L1 = 75.0 mH, L2 = 40.0 mH, L3 = 333 µH, and L4 = 7.00 H. What is the net inductance of this combination?
answer: 328.79 μH

5. Suppose two coils, having inductances of 30 µH and 50 µH, are connected in series so that their fields reinforce. Suppose that the coefficient of coupling is 0.500. What is the total inductance of the combination?
answer: 120 μH

6. Imagine two coils with inductances of L1 = 835 µH and L2 = 2.44 mH. Suppose they are connectedin series so that their coefficient of coupling is 0.922, acting so that the coils oppose each other. What is the net inductance of the pair?
answer: 643 μH


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