Whenever you are trying to find the max current in an LC circuit for example her

Question

Whenever you are trying to find the max current in an LC circuit for example here:

Why (or when?) do you use U = Li^2 + [q^2/2c] to find find max current. I don’t understand why you dont use the lower case q.

Because [(Q^2 )/ (2C)] = U = (.5)(Li)^2 + (q^2) / 2C. The equation above is for the magnetic energy in the LC circuit.

I am having a hard time understand why q isn’t accounted for. Could you give me a description, explanation and example of when q would be used or if it is ever used when finding max current?

Thank you

Explanation / Answer

When  the current is maximum, the charge in the capacitor in zero or minimum.

So total engery at that time is engery of the inductor only.

So, q won't be used in finding maximum current

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