An
electric motor is very easy to make as good as a gas turbine. It needs no superconductors. You can take an absolutely banal squirrel-cage motor. Accept slightly higher losses than usual, for instance 5% or 10%, cool it accordingly, and then it gets as compact and light as a gas turbine.
Have a look at power plants with a gas turbine: the generator is smaller than the turbine. Sure, at a power plant, the turbine is optimized for efficiency more than mass or size, but so is the generator.
Better: electric motors improve with peripheral speed and with size. If you have an impression of big and heavy electric motors, it's because they're small at rotate at 5m/s. On a plane, they would be granted 100m/s.
This one is a steam turbine, but the general impression holds for a gas turbine:
http://de.wikipedia.org/w/index.php?title=Datei:Turbinenhalle_KSP.jpg&filetimestamp=20070806180528
the generator is yellow and the turbine blue.
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A light battery is difficult to make despite so many brilliant people work hard on it. Already useable:
http://yuneeccouk.site.securepod.com/Aircraft.html
and since motors, propellers and airplanes improve with size, I suppose a commuter airliner is feasible.
But
fuel cells may be ready sooner. And especially if they burn
hydrogen, the mass of fuel necessary for the same trip is less than kerosene, and the volume isn't that huge, so the plane design is perfectly possible - we "only" need better fuel cells, with the propoer power and mass.
Some planes, especially drones, fly already on electric motors for tens of hours.