Power (watts) and voltage (volts) are not the same thing.
The water analogy is most useful at this level (despite being wrong in most respects, it instils a basic working understanding good enough for the householder).
Think of a waterfall. Wait, think of two: a very high one with just a thin stream of water, and a low one, maybe a foot high with a torrent of water flowing over it (a weir).
Voltage is the height of the waterfall: a stream of water at the bottom of a very high waterfall will feel more painful than a stream from a much lower one.*
Current is analogous to the amount of water flowing over the waterfall - the river's current.
Multiplying voltage by current, you get power: the ability of the waterfall to do useful work.
(A very high waterfall with hardly any water flowing over it won't be able to turn a water wheel very quickly, and nor will a very low waterfall with a lot of water flowing over it. You need both voltage and current to do useful work.)
Re the movement of electrons: in fact they move very slowly on average under the influence of an electric field, but by their "bouncing against" their neighbours, the electric impulse
is transmitted quickly through the conductor.
* An alternative analogue for voltage is water pressure, and indeed in some languages voltage is referred to as pressure.
The water analogy is most useful at this level (despite being wrong in most respects, it instils a basic working understanding good enough for the householder).
Think of a waterfall. Wait, think of two: a very high one with just a thin stream of water, and a low one, maybe a foot high with a torrent of water flowing over it (a weir).
Voltage is the height of the waterfall: a stream of water at the bottom of a very high waterfall will feel more painful than a stream from a much lower one.*
Current is analogous to the amount of water flowing over the waterfall - the river's current.
Multiplying voltage by current, you get power: the ability of the waterfall to do useful work.
(A very high waterfall with hardly any water flowing over it won't be able to turn a water wheel very quickly, and nor will a very low waterfall with a lot of water flowing over it. You need both voltage and current to do useful work.)
Re the movement of electrons: in fact they move very slowly on average under the influence of an electric field, but by their "bouncing against" their neighbours, the electric impulse is transmitted quickly through the conductor.
* An alternative analogue for voltage is water pressure, and indeed in some languages voltage is referred to as pressure.