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In the second practice problem, when the charge oscillates back and forth, does it produce a spark?

April 26, 2017charge Forth oscillates Practice problem SPARK

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In the second practice problem, when the charge oscillates back and forth, does it produce a spark?

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No, the charge just sloshes back and forth. If it sparked across the capacitor, that would discharge the circuit (at least partially) and oscillations might stop.