Can a european power outlet handle a 5000 watt power transformer?
No. Most are on 16A circuits, which can practically handle 3KW or so. UK recepticals are limited to 13A, so will be less. You might be able to use an electric stove outlet, if you know how to use one safely.
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A Power Transformer is usually rated in KVA, or Killo-Volt Amps. Hard to answer your question without the right info on the size of the X-fmr, What it is being used for, and the number of taps on said X-fmr. An appliance that consumes 5K Watts of power can be translated to about 7 Amps @ about 100 to 120 Volts A.C. It can also be translated to about 3.5 Amps @ 200 to 240 Volts A.C. I like to over rate things in my calculations, for safety sake. That way, there are no accidents in adding up figures wich could possibly cause a circuit overload. Frequency of the line doesn't really matter, unless you are converting power for an imported or domestic unit, whatever the case may be. Consult your local friendly electrician for other details.