Edissipated=Esource−Ecapacitorcap E sub dissipated end-sub equals cap E sub source end-sub minus cap E sub capacitor end-sub
𝐸𝑑𝑖𝑠𝑠𝑖𝑝𝑎𝑡𝑒𝑑=𝐸𝑠𝑜𝑢𝑟𝑐𝑒−𝐸𝑐𝑎𝑝𝑎𝑐𝑖𝑡𝑜𝑟
Edissipated=CV2−12CV2=12CV2cap E sub dissipated end-sub equals cap C cap V squared minus one-half cap C cap V squared equals one-half cap C cap V squared
𝐸𝑑𝑖𝑠𝑠𝑖𝑝𝑎𝑡𝑒𝑑=𝐶𝑉2−12𝐶𝑉2=12𝐶𝑉2