Think about the computer you are using right now. A short time ago, a computer that powerful would have been as large as your living room.
Where there's a will, there's a way. I forsee the possibility of photoelectric cells many times smaller than the large panels we now use. If there is a market for them, they will become smaller and more powerful every year, and every year, last year's solar cell will become obsolete.
Of course, then we will have to start worrying about how long it will be before the sun starts burning out.