Well - If you don't mind spending a little quiet time by your computer, you can continue your story while you charge your Kindle with the USB cable.
Hook the Kindle up via the USB cable, then eject it, but leave it connected. Your Kindle will continue to charge but your normal screen (either your Home or the page you were on in the book before you connected it to the USB) will appear and you can continue reading while your Kindle continues to charge.
PC Users: Click the Start button, then click Computer and look for your Kindle. Right click on the Kindle drive and choose Eject. Do NOT disconnect the USB if you want to let it continue to charge.
Oh... When the light turns green, you can un tether your Kindle.
Ask Mrs. Wizard: Please send me a personal email (email@example.com) if you have any questions. I answer all my emails and am more than happy to help any time I can. Your questions mean a lot to me, and may even inspire an article that will help others and make this a more valuable resource to anyone who reads it.
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