energy of a charged conductor is

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Nature

The energy of a charged conductor, which is the electric potential energy stored, is given by the expression:

U=12Q2CU=\frac{1}{2}\frac{Q^2}{C}U=21​CQ2​

where UUU is the energy, QQQ is the charge on the conductor, and CCC is the capacitance of the conductor. Equivalently, it can also be expressed as:

U=12QVU=\frac{1}{2}QVU=21​QV

or

U=12CV2U=\frac{1}{2}CV^2U=21​CV2

where VVV is the electric potential of the conductor. This energy is the work done to charge the conductor, stored in the electric field around it, and depends on the charge, potential, and capacitance of the conductor.