If you purchase a can of refrigerant with a gauge and trigger, go ahead and connect it to the low side (engine off). It will read pressure. This can and pressure gauge is not the best solution, but in many cases it can be good enough.
If the reading is below their indicated good zone, squeeze the trigger.
You don't even need to be concerned about trying to bypass a sensor to engage the clutch to run the compressor. That it not necessary. Even if you bypass and get the clutch to engage, if the clutch is a problem and you bypass it, you've accomplished nothing but maybe add some refrigerant that you're going to lose anyway.
After the system has been shut off, pressures on both side of the fixed orifice or expansion valve equalize. I forget the numbers off hand but they settle out at maybe 75 to 80 psi. Let's say 80 psi. It could be lower, but I don't remember exactly. And this psi varies based on ambient temp, and probably some other factors.
If your system is off, and pressures in the system is at 80 psi, and the pressure in a new/full can is at say 250 psi (can't remember that either, could be higher, could be lower), the refrigerant is going to go in. At least to start with, for a burst at least. All of the above as I wrote it my intention is that the engine and A/C system is OFF.
And also, when you hook up the can and the gauge reads pressure. If the pressure is in the 80 psi range, and then let's say you watch the gauge while someone cranks the cars and activates the A/C system ... if the clutch doesn't engage at 80 psi, then yes, the trouble is in the compressor / clutch / sensor / A/C system, it is not a refrigerant (leak) issue. Disconnect the can and take your car to a mechanic. On the other hand, if the clutch/compressor does engage, the gauge should show a drop in pressure down to maybe 30 - 35 psi. At which point the 250 psi in the can is even easier to inject into the system.
The instructions on those cans are likely written very well, and should do a good job to improve the performance of the system (my guess).
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