detect if open wire has been cut after test point

Question

So I'm trying to design a circuit for a situation with the following scenario:

SW1 is representing a cut wire after the access box. I can't tap into anywhere except the access box shown in the picture and I can T in (preferred) or cut into the supply and/or ground lines. I have found one way where I can use a current sensor but that would only solve half the problem. If SW2 is open(chip is good)/closed(chip is bad) and would give false positives if SW1 is open(wire cut). So the problem is needing to accurately detect if it's 27.119V open, open with fault, shorted with fault, shorted.

I've been looking all over and found some similar situations but all had more access than I have. I have found a circuit for doing a time domain reflectometer as a last resort but hoping it can be simpler than that. Thank you for any help.

--EDIT--

To reiterate: for the circuit I need to make it can only affect what's in the square "access box". It's for a senior design project for school and the rest of the circuit shown is a closed system and the red SW1 is a hypothetical we need to be able to test for (wire gets cut/contact in a connector comes loose/etc).

If it helps with the design: from the access box to the chip sensor it's roughly 10' of wire.

--EDIT--

After doing a little more research and with regard to the comments this is a little better representation and now simulatable (I didn't know about the schematic button in the text editor previously... The previous one I made was requiring me to pay for a subscription to share because I made it on their site first so I just screenshot it instead)

^{simulate this circuit – Schematic created using CircuitLab}

Answer 1

One way that could be possible to detect in open-circuit situation, by measuring the capacitance between the two wires, supposing they are within the same cable for most of the way.

To do so, you can inject a high frequency signal and measure the phase shift between the two wires.

If the capacitance changes (is reduced), it is likely the length was changed.

Also the final device input also probably have some capacitive signature that would improve the detection.

If the signal is closed, simply inject a small current as you said.

Here some example.

Answer 2

Your sensor looks like a potential free contact, is this actually the case?

In your comment you say trigger the relay which implies connecting to the relay coil.

If your sensor has some DC resistance you can easily measure the volt drop of the equivalent source resistance (3.9k||120k) in parallel with the sensor R to determine if there is a loop current flowing. The source voltage will rise with a wire break, and fall with a sensor short.

If all this sounds too easy you can use a time domain reflectometer to find any breaks in the wiring but this is not ideal for very short cable runs.