I have the original MBA, and I have extremely high power consumption - see the screenshot (screenshot got while TextEdit only was running)
Is is normal for original MBA?
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That is on the high site with 1400.
My MBA-13 consumes 1100 without TextEdit and 1200 with.
I do have Chrome and Friefox ect. running.
You might have some background stuff running, so check your Activity monitor and see who is using CPU.
Disable your network or wifi.