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Practice question

Question

In a system of two identical capacitors in series, why does removing one capacitor while maintaining the same total voltage across the system increase the energy stored?

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Explanation

Two identical capacitors in series ( C_{eq = C/2 ) with total voltage V each have voltage V/2, storing energy U_{total = 1/2 C/2 V² = 1/4 C V² . Removing one, the remaining capacitor has capacitance C and voltage V, storing U = 1/2 C V², which is greater ( 1/2 C V² > 1/4 C V² ). The energy increases because the same V across a larger effective capacitance (single C ) stores more energy.

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