ok but kw is watts w=powerp=VI ,i=p/v ,50/240=0.2A ,50/12=4.16 A so i looks like a 12 V light will draw more power so it will cost more the real question is is it going to cost less because its a transformer at 240 v down to 12 V i dont know it dose my head in.if so why have low voltage lighing i know it white not yellow like mains but cant you get a coloour 840 low energy for mains?help me i dose my head in if you have a good answer please explane in detail
I think you fail to understand basic units, Voltage V it the force behind the elctrical energy. Amps I is the amount of electricity flowing in any circuit at any time. (We don't pay for Volts or Amps) The product of the two ( VI ) is the power (Watts) and multiplied by time (VI x time) is what we pay for, so if we take 50 watts for 1 hr we are using 50 watt hrs. (However a watt hour is very small, so a Unit is defined as 1000 watt hrs, otherwise known as a kilo watt hr, so 50 watts for 1 hr = 0.05 KWh or 0.05 Units and Units are what we see on our electricity bills).
Go back to your own example. In the equation VIt
after the transformer you have 12 volts * 4.1666 amps * 1 hr = 0.05 KWh or 0.05 units
before the transformer you have 240 volts * 0.208333 amps * 1hr = 0.05 KWh or 0.05 Units
or in current 230 volt systems
before the transformer you have 230 volts * 0.2173913 amps * 1hr = 0.05 KWh or 0.05 Units
this is in theory.
In practice the transformer will not be 100% efficient ie the input power will be
slightly more than the output power (the difference is given off in the form of heat and maybe noise (hum)). But then two bulbs marked 50 Watts will not be 50 watts but slightly more or less. And as remarked above, different bulbs will run at different temperatures (whiteness) so the light given off (candle power or Lumins ) for the same amount of power will actually be different. And of course the bulb technology will affect its efficiency; tungsten, halogen, sodium, mercury ... but this of course is getting very far off the question!