Kevin Zhou — USAPhO Practice — E&M Problem 4 · Kevin Zhou #USAPhOE.4
Physics · electromagnetism
Problem
Let us modify the situation of the previous question and connect an inductor with inductance
L in series to the capacitorandvoltage source. In equilibrium, the distance between the plates
is X , and the charge on the capacitor is Q. Now consider a small shift of both quantities, so
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thatthedistanceandchargebecomeX +xandQ+q. Deriveexpressionsfortheaccelerations
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x¨ and q¨in terms of X , Q, S, L, m, k, x, and q.
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