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?
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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