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Asked in GSEB Board March 2020 · Frequency and current in LC
Idea: compare the equation of an LC circuit with that of a mass on a spring.
Spring: m(d²x)/(dt²)+kx=0, with energy 1/2mv²+1/2kx².
LC circuit: L(d²q)/(dt²)+1/C q=0, with energy 1/2LI²+(q²)/(2C).
Term by term: q↔ x, I↔ v, L↔ m and 1/C↔ k.
So the force constant k corresponds to the reciprocal of capacitance, 1/C.
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