A nonaqueous electrolyte battery is provided. The nonaqueous electrolyte battery includes an anode; a cathode; a separator; an electrolytic solution including a solvent and an electrolyte salt; wherein the solvent includes a fluoro ethylene carbonate, wherein the nonaqueous electrolyte battery has a discharge capacity ratio of a discharge capacity B when discharging at a 5 C rate to a discharge capacity A when discharging at a 0.2 C rate ((B/A)×100%), and wherein the discharge capacity ratio is 80% or more. An electrical apparatus including a nonaqueous electrolyte battery is also provided.