If you mean the first nuclear plant, this was at Shippingport, a small PWR, really a prototype.
Nobody really knows
The Obninsk Power Plant, which is located in Obninsk, Russia. It was first built in 1954.
The first nuclear reactor was made in 1942 as part of the Manhattan Project, but did not produce electricity. The first power producing reactors were built in the 1950's in the US, UK, and France.
which energy transformation occurs first in a coal burning power plant
Thermal energy
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The Shippingport reactor was the first full-scale PWR nuclear power plant in the United States.
The first commercial nuclear power plant in the US was built in 1957 in Shippingport, Pennsylvania. The first commercial nuclear power plant in the world was built in 1956 in Calder Hill, UK.
Shippingport nuclear power point: May 1958, the first commercial reactor in USA.
The first power plant was built in Bavarian in 1878
The first nuclear power plant ever built is in 1954
wires and transformers
1921 in Wisconsin it was a coal fueled power plant
Hydroelectric power used some distance away from a hydro power plant (Colorado, USA) has been with us since about 1886.
104 operating power reactors
The first Indian nuclear power plant was at Tarapur, Maharashtra state. I don't have any information on who was in charge of it.
In 1969, tarapur Maharastra India`s first Nuclear power plant has been constructed
The world's first nuclear power plant was Obinsk, in the former USSR, in 1954, rated 6 MWe. It was a "semi-experimental" facility. The next plant was Calder Hall, in the UK, in 1956, rated 4 x 60 MWe, but it was primarily used to generate Plutonium for military purposes. The world's first full scale nuclear power plant was at Shippingport, Pennsylvania, US, in 1957, rated 60 MWe.