Before asking my question I would like to briefly clarify what I understand by a bench power supply opeartion:
Let's have a bench power supply which is set to 10V 1A CC. As far as I understand, this means upto a 1A current the power supply can supply 10V CV accross the load. So if I hook up a 10 Ohm resistor as a load to the terminals of this power supply I will measure 10V accross it and V/R = 1A current through it.(I'm assuming a special resistor which can handle enough power for the sake of this example) But let's say if I hook up a 5 Ohm resistor instead. In this case the current will not increase to 2A since it is set to 1A CC. The current regulator inside the power supply will not let the load to sink more than 1A current. Which means the current will remain the same as 1A. But this time since V = I*R, the power supply's voltage will accrdingly drop to 5V. This is what understand in case of bench power supplies. Correct me if I'm wrong.
Most of the power supplies (SMPS or linear such as 9V adapters ect.) in the market have two ratings always mentioned on them: Rated voltage output and max current. Are they operate the same way as the bench power supplies? Let me ask the question by an example. If we have a power supply such as the following adapter: https://www.alibaba.com/product-detail/10v-1a-power-supply-adapter-10w_60310531013.html?s=p
12V and 1A ratings written on it. If it were a bench supply with CC, I would say connecting a 6 Ohm load would sink only 1A and would drop supply's output voltage to 6V. But is that also what happens with most of the power supplies(not bench ones) in the market? I mean the same scneario happens as in bench supplies? Or it depends? How can we know it without trying?
Here are two examples of non-bench power supplies(typical ones used most commonly): https://www.alibaba.com/product-detail/10v-1a-power-supply-adapter-10w_60310531013.html?s=p
Basically I'm asking what happens when we lower the load for a typical non-bench power supply and try to exceed its max current? Would there be a current and voltage regulation as in bench power supllies where CC activates or what would happen?