Thank you for your answer Ian. May be I have some terminological problems, since I don’t know very well the technical language (and may be not only the technical one!). Doesn’t need a pelelec battery to be capable of something like a 10C – may be 20C in the peak – discharge rate? And how do you call this kind of batteries, if it is not “traction”? It cannot be the same kind of battery which are used for normal cars or emergency lights etc., or am I wrong?
In answer to you your first question Leonardo, I think you are confusing the term "C" with amps or "A".
The term "C" refers to the batteries capacity which is measured in Amp-Hours (Ah), that means a battery with a capacity of 10 Ah (A typical capacity for an e-bike battery) can in theory deliver a current of 1 amp for 10 hours or 10 amps for 1 hour, although in reality the capacity is reduced as the current goes up.
A 36 volt e-bike/pedelec battery will typically need to deliver a maximum current in the order of 20 amps, which in the case of of a 10 Ah battery could be referred to as a discharge rate of 2C (The discharge current in amps is 2 times the batteries capacity in amp-hours, hence 2C),
Similarly if the same battery is charged at 2.5 amps that would be a charge rate of 0.25C
The maximum current referred to above is a short term peak such as may occur when climbing a steep hill, most of the time the battery will be delivering a much smaller current in the order of 5-6 amps (0.6C).
In actual fact the term "C" is mostly used on manufacturers data sheets, it is probably less confusing so simply measure charge/discharge rates in amps as we always used to.
The battery types used bicycles are similar types as used in emergency lighting, uninterruptible power supplies for computer equipment and a host of industrial back-up applications. Because the bicycle is such an efficient vehicle its power requirements are extremely low when compared to any other vehicle and a relatively small battery will suffice.
True traction batteries are used in larger electric vehicles such as electric and hybrid cars, milk floats, the driver-less vehicles seen in large factories, forklift trucks, mining locomotives etc. where current demands can run to hundreds or even thousands of amps. Our requirements are tiny by comparison.
I 've tried to make the above as easy to understand as possible, I just hope it makes sense.
Ian