What are the laws and rules on riding electric bikes in Australia ?

Queensland

You do not need to have a driver licence to ride a motorised bicycle.

A motorised bicycle is a bicycle to which an electric motor is attached. The motor must not be capable of generating more than 200 watts of power.
A two-wheeled vehicle with an electric motor capable of generating over 200 watts, must comply with the same Rules and Requirements as a motorbike.

More at: www.tmr.qld.gov.au The above information current at Feb 2011.

New South Wales

Riders of Motor assisted pedal cycles must follow the same road rules as for pedal cycles without motors, including wearing a helmet.

Motor assisted pedal cycles with electric or petrol engines are exempt from registration, provided the maximum engine output power does not exceed 200 watts. These vehicles must have been designed as a bicycle – that is, to be propelled by human power, with the motor attached as a supplementary aid only.

Motorised foot scooters, miniature motorbikes (also known as mini bikes, pocket bikes or monkey bikes) and other motorised recreational devices must not be used on roads or in any public areas such as footpaths, car parks and parks.

More at: www.rta.nsw.gov.au The above information current at Feb 2011.