By 2001 the terms, E-Bikes, power bike, pedelec, assisted bicycle and power-assisted bicycle where commonly used to describe electric bicycles. E-bike, according to Google, is a term that has increased in trend. This term generally referred to an electric bicycle which used a throttle. The terms Electric Motorbike or E-Motorbike have been used to describe more powerful models which attain up to 80 km/h.
Bosch eBike Systems – eBikes 101 What is an eBike? The eBike is one of the most agile, comfortable vehicles of our time. With the positive impacts on health, environment and society, electric bikes bring a new meaning to smart mobility. Their modern components and simple yet innovative design allow for a variety of eBiking adventures, from trekking through the …
Government regulation is written and administered with a broad, dull, painful axe. Regulations do not mix well with independent, maverick, DIY programs either. Vehicle regulations get started when there is either a visible tragedy, or a rising conflict with the status quo (like the SFO scooters program). The ebike community cannot afford a deadly accident especially if it involves others and the ebike or ebike rider are at fault. The Ebike community is up against a tough status quo that consists of pedestrians, motor vehicle traffic, the large well-funded and battle tested regular bicycle community, and the environment (especially for MTB riding and off-road use).  

Controllers for brushless motors: E-bikes require high initial torque and therefore models that use brushless motors typically have Hall sensor commutation for speed and angle measurement. An electronic controller provides assistance as a function of the sensor inputs, the vehicle speed and the required force. The controllers generally allow input by means of potentiometer or Hall Effect twist grip (or thumb-operated lever throttle), closed-loop speed control for precise speed regulation, protection logic for over-voltage, over-current and thermal protection. Bikes with a pedal assist function typically have a disc on the crank shaft featuring a ring of magnets coupled with a Hall sensor giving rise to a series of pulses, the frequency of which is proportional to pedaling speed. The controller uses pulse width modulation to regulate the power to the motor. Sometimes support is provided for regenerative braking but infrequent braking and the low mass of bicycles limits recovered energy. An implementation is described in an application note for a 200 W, 24 V Brushless DC (BLDC) motor.[43]
The safety bicycle gave women unprecedented mobility, contributing to their emancipation in Western nations. As bicycles became safer and cheaper, more women had access to the personal freedom that bicycles embodied, and so the bicycle came to symbolize the New Woman of the late 19th century, especially in Britain and the United States.[8][73] The bicycle craze in the 1890s also led to a movement for so-called rational dress, which helped liberate women from corsets and ankle-length skirts and other restrictive garments, substituting the then-shocking bloomers.[8]
This article did a good job of trying to justify the assist speed limits but fell short of detailing how that can ever be effectively enforced. In reality the only enforcement that is going to work is applied speed limits to use of bikes and ebikes. For example, it makes sense that a bike lane on a street that the speed limit of vehicles is the speed limit of the bikes/ebikes. On sidewalks and shared pedestrian paths the speed limit probably does need to be in the 15-20mph range to match traditional bikes speeds on those paths.
The Dew-E packs functionality and fun into a rather traditional and conservative package. Front and rear fenders, integrated Busch & Müller front and rear lights, and a built-in Abus wheel lock make this a very practical commuter bike. An 11-34, 9-speed cassette and 1.75-inch tires provide versatility: You’ll ride smooth over rough city streets and zip down gravel bike paths with confidence. Front and rear rack mounts also give you the chance to outfit this bike for carrying more cargo or supplies for a longer day on the bike.
First, think about what you need your bike for -- if it's just for a short city commute, in among traffic, then consider a smaller frame that's easy to manoeuvre through cars. The GoCycle G3 (right) is impressively nimble and its electric assistance will help propel you up to 15 mph (24 kph). Better yet, it has built-in lights, automatic gears and you can customise the amount of power the motor provides using a phone app.
When it comes to electric bikes, consumers have lots of choices.  So finding an electric bike to meet your needs won’t be hard.  Today, we are going to take a deeper look at three of the most popular types of electric bikes on the American market and many of the benefits of owning and using an electric bike.  Each of these ebikes has something different to offer as you will find out below.   So if you are looking to purchase a new electric bike in the near future, you just might want to pay close attention to the information provided...
Even with cheaper or heavier bikes, once you accept that you are really meant to pedal gently and let the motor do the work, non-speed freaks will get into it. E-bikes are great for commuting and for places that aren't pancake flat. They'll pull you away from the lights quickly, iron out hills and stop you getting sweaty, so you can bin the Lycra and ride in jeans, a suit, or a winter coat.
Connect the battery to the speed controller and the throttle. Follow the instructions included with the kit to connect each part. Typically, you’ll only need to plug the connector on the speed controller into the connector on the battery, then repeat the process for the throttle. Be sure not to touch the battery wires together, as this could create a dangerous spark! [14]
EU: EN15194 (EPAC – Electrically Power Assisted Cycles) defines the use pedal-assisted less than 25k/h bikes: "Cycles with pedal assistance which are equipped with an auxiliary electric motor having a maximum continuous rated power of 0.25 kW, of which the output is progressively reduced and finally cut off as the vehicle reaches a speed of 25 km/h or if the cyclist stops pedaling.”
Many newer or smaller companies only design and market their products; the actual production is done by Asian companies. For example, some 60% of the world's bicycles are now being made in China. Despite this shift in production, as nations such as China and India become more wealthy, their own use of bicycles has declined due to the increasing affordability of cars and motorcycles.[102] One of the major reasons for the proliferation of Chinese-made bicycles in foreign markets is the lower cost of labor in China.[103]
In Quebec power-assisted bicycles are often classified similarly to standard pedal bicycles. They do not have to meet the conditions defined within the Canadian Motor Vehicle Safety Regulations (they are not classed as "motor vehicles"), but they do have to comply with federal regulations that define Power Assisted Bicycles. The Quebec Highway Safety Code defines a power-assisted bicycle as a bicycle with an electric motor. PABs are permitted on the road in the province of Quebec.
Regulations[37] appear to deal with Bicycles with helper motors. No person shall ride a bicycle with a helper motor unless that person holds a valid motor vehicle operator's license. No person shall operate a bicycle with a helper motor at a rate of speed exceeding thirty miles per hour; nor shall any bicycle with a helper motor be operated on any sidewalk, limited access highway or turnpike. Driver's licence is required except if a special permit is obtained by havnig a doctor fill out a certificate and shows they are able to drive the bike with and without the motor assisting.
On the road, it takes only a few turns of the pedals to activate the Vado’s motor and get it up to speed. In Turbo mode — the bike’s highest level of pedal-assist — the Vado reaches speeds of up to 28 miles per hour, after which the electric drive system automatically shuts off to conserve power (and abide by local law). A built-in LED readout on the handlebars allows riders to monitor battery life, check current speed, and track calories burned while also being able to glance at distance traveled. The Turbo Vado Mission Control app (iOS/Android) also connects to the bike via Bluetooth and allows riders to further tune their ride and adjust the bike’s settings.
Battery – in combination with the motor, this determines how far you can get before your bike needs a recharge. Some don’t provide adequate support on even gentle hills, while the best will comfortably take the strain as the gradient shoots up. Range also varies, with the best e-bike systems we’ve tested able to take you nearly twice the distance of lesser models.
E-bikes use rechargeable batteries, electric motors and some form of control. Battery systems in use include sealed lead-acid (SLA), nickel-cadmium (NiCad), nickel-metal hydride (NiMH) or lithium-ion polymer (Li-ion). Batteries vary according to the voltage, total charge capacity (amp hours), weight, the number of charging cycles before performance degrades, and ability to handle over-voltage charging conditions. The energy costs of operating e-bikes are small, but there can be considerable battery replacement costs. The lifespan of a battery pack varies depending on the type of usage. Shallow discharge/recharge cycles will help extend the overall battery life.

I would advocate you ride legal within the laws of your state. I would also look into some kind of liability rider or umbrella policy with your home owner’s policy, which covers your personal liability and theft. Get your bike registered; wear your helmet, eye protection, whatever is required by state law so that if an accident occurs and you are at fault, there is no legal recourse. Even if you own a 750W/20mph ebike that meets the definition of a bicycle, any at-fault cyclist may still be denied coverage by stingy insurance companies who want to support their clients. Your health insurance will usually cover your medical bills, but the costs of an expensive ebike may be lost.