Hi, It is possible that many of these answers are overkill! I spent several hours on this.
Buy a USB current monitor for a few $,then when you plug in PSU's and Leads you can see what is going on.Any USB Current monitor
Basically, if you lose your charger, or use a 'charge only' USB cable, it will not charge. The PSU may say, 10W, or 1A 5V, but the T100 seems very tetchy about havinga compatible charger. For example, I have not found a single Apple one that works.
Go all around your house, work and wherever else and find a pile of PSUs (don't bother with Apple) and Micro USB leads.
Once you get the thing to charge and boot than you can play around with Install BatteryBar and find the best PSU/USB Cable. My T100 IS WORKING a treat now.
Install BatteryBar v3.6.6
Have a look at it and you will notice the charge rate.
I bet that this solves most T100 charge problems??1 Fingers crossed!