Questions on "Switching Power Supplies A-Z, 2E"

Hello, I am now reading the book "Switching Power Supplies A-Z, 2E" written by Sanjaya Maniktala and there are some sentences that I cannot understand well. (Coz my native language is not English!)

The first sentence is:

A little later, we will construct proper dual circuits. But for now we may have already started to suspect that we really don't understand inductors as well as we thought, nor in fact the duality principle we were perhaps counting on to do so.

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According to the grammar, I know the first thing "we may have already started to suspect" is that "we really don't understand inductors as well as we thought", what about the second? What does the sentence after the conjunction "nor" mean? Does it mean that we started to suspect the duality principle? I want to know the exact meaning of the sentence.

The second sentence is:

If a nervous interviewee hazards the guess that the current in the inductor simply "goes to zero immediately" on opening the switch, a gentle reminder of what we all learnt in high school is probably due.

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What does "a gentle reminder of what we all learnt in high school is probably due" mean?

NextEngine said:

What does the sentence after the conjunction "nor" mean? Does it mean that we started to suspect the duality principle? I want to know the exact meaning of the sentence.

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It relates to the verb understand. Meaning:

... nor we [actually] understand the duality principle ...

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NextEngine said:

What does "a gentle reminder of what we all learnt in high school is probably due" mean?

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in other words:

it would be nice to think of what we all learnt in high school

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namely,

a current through an inductor cannot simply "go to zero immediately"

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I'm not a native English speaker, too, so perhaps such a person would find a better explanation.

As native English speaker and ex-editor of an award winning English magazine, I would sum both sentences up as:

"as you have realized, our understanding of inductors is not good and we should study their theory again"

It is an example of "diminutive examples of linguistic explanation frequently convey sufficient information" when someone meant "use short words".

Brian.

Thank you, @erikl and @betwixt