I want to keep my phone for charging and connect it to my PC and control all the operation on it wirelessly while my phone is on charging. Is there any way to control my android from PC?
To connect your phone and PC and control it from you PC you need to install Air Droid on both your phone and on your PC and you can sign up with your email id. Once you are connected you can connect your phone to internet or on the network same as your PC and then access the phone screen or contents of the phone from your PC directly.
You can also receive all the notification and reply to them from your PC directly.
