"The energy density of batteries is an order of magnitude less than fossil fuels, and you have to carry the heavy batteries with you the entire trip (vs burning off fuel as you fly)."
It's even worse. Nowadays, in order to land, the aircraft needs to be almost empty, otherwise the mechanical structure that supports the stress of impact with the runway may break. So, heavier (as with batteries included) aircraft landing will mean the need to design sturdier landing gear, and stronger landing gear will most likely mean heavier materials as well.