Capacitor Energy Uses Charge and Capacitance - Superconducting Qubits: LC Energy, Toy Josephson Coupling, and Readout Step by Step

Capacitor energy is computed from charge and capacitance. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Charge and capacitance set capacitor energy

The standalone source uses charge 2 coulombs and capacitance 4 farads, giving capacitor energy 1/2 joule.

E_C=\frac{Q^{2}}{2C}=\frac{2^{2}}{2\cdot 4}=\tfrac{1}{2}\ \text{J}

The capacitor term is one store of the mode

The checked standalone total is 1/2 joule because this source sets the flux term to 0.

E_{\text{total}}=\tfrac{1}{2}\ \text{J}