I have a problem with a MacBook Air 2,1 A1304.

The MacBook runs fine from the power supply, but the battery will not charge and the computer will not run from the battery (even though a battery is present, working, and has over 60% charge). MacOS shows no battery present.

Running Mac Hardware Test results in error code:

Error code: 4SNS/1/40000001: TB1T-0.000

This is a temperature sensor error and - I presume - therefore the battery temperature sensor?

The question then is what, if anything, could be done about this?

I have searched widely but cannot find where the battery temperature sensor is located on an A1304. Any tips most welcome!

These photos illustrate the problem:

Coconut Battery - note the temperature!

No battery recognised in MacOS

System Report

But when booting with Ubuntu...

Battery is recognised - and has charge, but is NOT charging (MagSafe shows green LED)

More detail

Further update

The question was raised below if this was simply a battery problem. No - the same happens with other batteries I have tried, and the batteries are new or new-ish. These two screenshots show Coconut Battery and the Ubuntu battery overview - but with a different battery installed. The same faulty temperature reading in Coconut Battery.