Question: A parallel-plate capacitor is fully charged and connected in series to an inductor only. The capacitor initially stores charge (q) and electric potential energy (U^{E}).

A parallel-plate capacitor is fully charged and connected in series to an inductor only. The capacitor initially stores charge $q$ and electric potential energy $U^{E}$. Once the circuit is closed, charge carriers flow from the capacitor, producing a current in the circuit. When the charge on the capacitor has been reduced to $q / 2$, what is the magnetic potential energy $U^{B}$ stored in the inductor? Report your answer in terms of $U^{E}$.

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