Table of analogous power and energy equations in the mobility analogy Electrical quantity Electrical expression Mechanical analogy Mechanical expression Energy supplied E = ∫ v i d t {\displaystyle E=\int vi\ dt} Energy supplied E = ∫ F u d t {\displaystyle E=\int Fu\ dt} Power supplied P = v i {\displaystyle P=vi} Power supplied P = F u {\displaystyle P=Fu} Power dissipation in a resistor P = i 2 R = v 2 R {\displaystyle P=i^{2}R={v^{2} \over R}} Power dissipation in a damper[9] P = u 2 R m = F 2 R m {\displaystyle P=u^{2}R_{\mathrm {m} }={F^{2} \over R_{\mathrm {m} }}} Energy stored in an inductor magnetic field E = 1 2 L i 2 {\displaystyle E={\tfrac {1}{2}}Li^{2}} Potential energy stored in a spring[1] E = 1 2 C m F 2 {\displaystyle E={\tfrac {1}{2}}C_{\mathrm {m} }F^{2}} Energy stored in a capacitor electric field E = 1 2 C v 2 {\displaystyle E={\tfrac {1}{2}}Cv^{2}} Kinetic energy of a moving mass[1] E = 1 2 M u 2 {\displaystyle E={\tfrac {1}{2}}Mu^{2}}