Environmental Costs of Electric Powered Vehicles

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Anthony Sargeant would like to know: Has anybody calculated the environmental cost of mining the metals and manufacturing the massive (and limited lifetime) heavy batteries that power electric vehicles?
Then add in the fact that transporting the batteries imposes an energy cost and the electricity has to be generated somewhere, somehow.
Then there are large energy losses along the length of any grid system of distribution – essentially the further you go from the generator the greater the loss.
It is just a question and I am curious to know the answer since we were told only a few years ago by the environmental lobby to buy diesel vehicles apparently on the basis of incomplete information.

Is there any such thing as a free lunch?