Traditionally this class used to be referred to as 'light electric motorbikes' with engines of up to 125cc and a maximum continuous power output of 11kW (14.5 hp). Whilst the peak power and continuous power tends to be the same with petrol motorcycles, electric motorbikes in the 11 kW class have the ability to generate much greater peak power of up to 44 kW, and generally deliver much more torque, which results in significantly faster acceleration. All motorcycles in the 11k W class will be capable of speeds well above the 28 mph limit of a moped, as they are not speed restricted. Having said that, many will deliver less than 11 kW, but the greater torque that's on hand will more than compensate.
Magnet Motos offers eight models in the 11 kW class, which are capable of speeds between 45-85 mph and deliver a range of between 60-100 miles when used in urban settings.